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1. Catimbó-Jurema: uma analise critica do discurso multimodal sobre o imaginario social religioso no filme O auto da compadecida = Catimbó-Jurema: a critical analysis of the multimodal discourse on the religious social imaginary in the film O auto da compadecida = Catimbó-Jurema: un análisis crítico del discurso multimodal sobre el imaginario social religioso en la película O auto da compadecida

Author

Lima, Leonardo Adriano Eugênio de

Subjects
análise do discurso, análise do discurso - aspectos sociais, imaginário, linguagem e línguas, Philology. Linguistics, P1-1091, Literature (General), PN1-6790
Abstract

Na sociedade contemporânea, são inúmeras as demandas criadas cotidianamente decorrentes das relações interseccionais que compõem as experiências identitárias de indivíduos e de grupos sociais diversos, com base em marcadores sociais da diferença como gênero, sexualidade, raça, classe, etnia, afiliação religiosa e deficiência, que frequentemente se tornam catalizadoras de preconceitos e de discriminação. Diante desse contexto, investigamos, neste artigo, a construção do imaginário sociodiscursivo sobre o Catimbó Jurema por meio da análise de quadros de cenas selecionadas do filme O Auto da Compadecida (2000), com suporte teórico-metodológico e crítico da gramática sistêmico-funcional (HALLIDAY; MATTHIESSEN, 2014), mais especificamente do sistema de transitividade da metafunção experiencial, da gramática do design visual (KRESS; VAN LEEUWEN, 2021), com foco nas metafunções representacional e composicional, e da análise crítica do discurso (FAIRCLOUGH, 1995, 2015; RESENDE; RAMALHO, 2006), com base no modelo tridimensional de Fairclough, em relação transdisciplinar com estudos em antropologia, ciências da religião, sociologia e filosofia. Resultados gerais das análises críticas e sistêmico-funcionais do discurso multimodal sobre o Catimbó-Jurema no filme O Auto da Compadecida apontam que a construção desse imaginário social ocorre por meio da mobilização de recursos verbais e imagéticos que buscam associar religiões afro-indígenas ao demoníaco na intersecção de discursos e práticas sociais que se (re)articulam de formas complexas, históricas e situadas Por fim, compreendemos que as análises empreendidas nos possibilitaram uma visão crítica não apenas quanto à utilização dos recursos multimodais neste filme, mas também no que diz respeito às interrelações entre os processos de construção de sentido por meio da linguagem e as inteligibilidades que também são parte do imaginário sociocultural

Published
2023

2. Location of Zeros of Holomorphic Functions

Author

de Lima, Leonardo

Subjects
Mathematics - General Mathematics, 30-XX, 11-XX
Abstract

In this article, various results will be demonstrated that enable the delimitation of a zero-free region for holomorphic functions on a set $K$, studying the behavior of their imaginary or real part on the boundary of $K$. These findings contribute to a deeper understanding of the distribution of zeros, shedding light on the intricate nature of holomorphic functions within the specified set.

Published
2024

10. A novel protocol for the synthesis of 1,2,4-oxadiazoles active against trypanosomatids and drug-resistant leukemia cell lines

Author

Pitasse-Santos, Paulo, Salustiano, Eduardo, Pena, Raynna Bittencourt, Chaves, Otavio Augusto, Fonseca, Leonardo Marques da, da Costa, Kelli Monteiro, Nascimento Santos, Carlos Antonio do, Reis, Jhenifer Santos Dos, Santos, Marcos Andre Rodrigues da Costa, Previato, Jose Osvaldo, Previato, Lucia Mendonca, Freire-de-Lima, Leonardo, Romeiro, Nelilma Correia, Pinto-da-Silva, Lucia Helena, Freire-de-Lima, Celio G, Decote-Ricardo, Debora, and Freire-de-Lima, Marco Edilson

Published
2022

11. Positive and Negative Square Energies of Graphs

Author

Abiad, Aida, de Lima, Leonardo, Desai, Dheer Noal, Guo, Krystal, Hogben, Leslie, and Madrid, Jose

Subjects
Mathematics - Combinatorics
Abstract

The energy of a graph $G$ is the sum of the absolute values of the eigenvalues of the adjacency matrix of $G$. Let $s^+(G), s^-(G)$ denote the sum of the squares of the positive and negative eigenvalues of $G$, respectively. It was conjectured by [Elphick, Farber, Goldberg, Wocjan, Discrete Math. (2016)] that if $G$ is a connected graph of order $n$, then $s^+(G)\geq n-1$ and $s^-(G) \geq n-1$. In this paper, we show partial results towards this conjecture. In particular, numerous structural results that may help in proving the conjecture are derived, including the effect of various graph operations. These are then used to establish the conjecture for several graph classes, including graphs with certain fraction of positive eigenvalues and unicyclic graphs.

Published
2023

12. On the Importance of Three-Body Decays of Vector-Like Quarks

Author

Bautista, Carlos, de Lima, Leonardo, Matheus, Ricardo D., and Savoy-Navarro, Aurore

Subjects
High Energy Physics - Phenomenology, High Energy Physics - Experiment
Abstract

It is a common feature of vector-like extensions of the electroweak sector to have near degenerate states, such as electroweak doublets. In simplified models, it is usually assumed that these have decay widths saturated by two-body channels. As a consequence, experimental searches can be done focusing on only one of the states of the doublet. Taking as an example case the light exotic electroweak doublet present in the Minimal Composite Higgs Model, we show that including three-body decays in the pair production process makes this separation unfeasible, since both states of the doublet will be present and contribute significantly to the signal. In addition, by recasting present searches in multileptonic channels, with a simplified cut-and-count analysis, a relevant increase in discovery reach or exclusion potential is obtained; this indeed motivates a more detailed analysis. This study shows how an inclusive search strategy, taking into account both the near degeneracy and the presence of three-body decays, will have greater discovery power and be more natural from a model building perspective., Comment: 18 pages, 12 figures

Published
2023

13. Recombination between heterologous human acrocentric chromosomes

Author

Guarracino, Andrea, Buonaiuto, Silvia, de Lima, Leonardo Gomes, Potapova, Tamara, Rhie, Arang, Koren, Sergey, Rubinstein, Boris, Fischer, Christian, Gerton, Jennifer L, Phillippy, Adam M, Colonna, Vincenza, and Garrison, Erik

Subjects
Biological Sciences, Genetics, Biotechnology, Generic health relevance, Humans, Centromere, Chromosomes, Human, DNA, Ribosomal, Recombination, Genetic, Translocation, Genetic, Cytogenetics, Telomere, Human Pangenome Reference Consortium, General Science & Technology
Abstract

The short arms of the human acrocentric chromosomes 13, 14, 15, 21 and 22 (SAACs) share large homologous regions, including ribosomal DNA repeats and extended segmental duplications1,2. Although the resolution of these regions in the first complete assembly of a human genome-the Telomere-to-Telomere Consortium's CHM13 assembly (T2T-CHM13)-provided a model of their homology3, it remained unclear whether these patterns were ancestral or maintained by ongoing recombination exchange. Here we show that acrocentric chromosomes contain pseudo-homologous regions (PHRs) indicative of recombination between non-homologous sequences. Utilizing an all-to-all comparison of the human pangenome from the Human Pangenome Reference Consortium4 (HPRC), we find that contigs from all of the SAACs form a community. A variation graph5 constructed from centromere-spanning acrocentric contigs indicates the presence of regions in which most contigs appear nearly identical between heterologous acrocentric chromosomes in T2T-CHM13. Except on chromosome 15, we observe faster decay of linkage disequilibrium in the pseudo-homologous regions than in the corresponding short and long arms, indicating higher rates of recombination6,7. The pseudo-homologous regions include sequences that have previously been shown to lie at the breakpoint of Robertsonian translocations8, and their arrangement is compatible with crossover in inverted duplications on chromosomes 13, 14 and 21. The ubiquity of signals of recombination between heterologous acrocentric chromosomes seen in the HPRC draft pangenome suggests that these shared sequences form the basis for recurrent Robertsonian translocations, providing sequence and population-based confirmation of hypotheses first developed from cytogenetic studies 50 years ago9.

Published
2023

14. On graphs with eigenvectors in $\{1, -1, 0\}$ and the max $k$-cut problem

Author

Alencar, Jorge, de Lima, Leonardo, and Nikiforov, Vladimir

Subjects
Mathematics - Combinatorics, Mathematics - Spectral Theory
Abstract

In this paper, we characterize all graphs with eigenvectors of the signless Laplacian and adjacency matrices with components equal to $\{- 1, 0, 1\}.$ We extend the graph parameter max $k$-cut to square matrices and prove a general sharp upper bound, which implies upper bounds on the max $k$-cut of a graph using the smallest signless Laplacian eigenvalue, the smallest adjacency eigenvalue, and the largest Laplacian eigenvalue of the graph. In addition, we construct infinite families of extremal graphs for the obtained upper bounds.

Published
2022

15. Heuristic Algorithm for Univariate Stratification Problem

Author

Brito, José, Semaan, Gustavo, de Lima, Leonardo, and Fadel, Augusto

Subjects
Statistics - Methodology, 68R01
Abstract

In sampling theory, stratification corresponds to a technique used in surveys, which allows segmenting a population into homogeneous subpopulations (strata) to produce statistics with a higher level of precision. In particular, this article proposes a heuristic to solve the univariate stratification problem - widely studied in the literature. One of its versions sets the number of strata and the precision level and seeks to determine the limits that define such strata to minimize the sample size allocated to the strata. A heuristic-based on a stochastic optimization method and an exact optimization method was developed to achieve this goal. The performance of this heuristic was evaluated through computational experiments, considering its application in various populations used in other works in the literature, based on 20 scenarios that combine different numbers of strata and levels of precision. From the analysis of the obtained results, it is possible to verify that the heuristic had a performance superior to four algorithms in the literature in more than 94% of the cases, particularly concerning the known algorithms of Kozak and Lavallee-Hidiroglou., Comment: 25 pages and 7 figures

Published
2022

17. Proactive Real-Time First-Order Enforcement

Author

Hublet, François, Lima, Leonardo, Basin, David, Krstić, Srđan, Traytel, Dmitriy, Goos, Gerhard, Series Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Gurfinkel, Arie, editor, and Ganesh, Vijay, editor

Published
2024
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18. Explainable Online Monitoring of Metric First-Order Temporal Logic

Author

Lima, Leonardo, Huerta y Munive, Jonathan Julián, Traytel, Dmitriy, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Finkbeiner, Bernd, editor, and Kovács, Laura, editor

Published
2024
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19. A INCORPORAÇÃO DE DISPOSIÇÕES PARA A GESTÃO DE ACADEMIAS: RETRATO SOCIOLÃ'GICO DE UM PROFESSOR-PROFISSIONAL DE EDUCAÇÃO FÍSICA /THE INCORPORATION OF PROVISIONS FOR THE MANAGEMENT OF ACADEMIES: SOCIOLOGICAL PORTRAIT OF A PHYSICAL EDUCATION TEACHER-PROFESSIONAL /LA INCORPORACIÃ'N DE DISPOSICIONES PARA LA GESTIÃ'N DE ACADEMIAS: RETRATO SOCIOLÃ'GICO DE UN DOCENTE-PROFESIONAL DE EDUCACIÃ'N FÍSICA

Author

Ferraz, Felipe Mayer, Alves, Denise Fick, de Lima, Leonardo Silva, and Myskiw, Mauro

Published
2024
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20. Bounding the sum of the largest signless Laplacian eigenvalues of a graph

Author

Abiad, Aida, de Lima, Leonardo, Kalantarzadeh, Sina, Mohammadi, Mona, and Oliveira, Carla

Subjects
Mathematics - Combinatorics
Abstract

We show several sharp upper and lower bounds for the sum of the largest eigenvalues of the signless Laplacian matrix. These bounds improve and extend previously known bounds., Comment: arXiv admin note: text overlap with arXiv:1412.0323

Published
2022

21. Immune responses in leishmaniasis: An overview

Author

Costa-da-Silva, Ana Caroline, de Oliveira Nascimento, Danielle, Ferreira, Jesuino RM, Guimaraes-Pinto, Kamila, Freire-de-Lima, Leonardo, Morrot, Alexandre, Decote-Ricardo, Debora, Filardy, Alessandra Almeida, and Freire-de-Lima, Celio Geraldo

Published
2022

31. Digital dual test syphilis/HIV detection based on Fourier Descriptors of Cyclic Voltammetry curves

Author

Sanchez-Gendriz, Ignacio, Carvalho, Dionísio D.A., Galvão-Lima, Leonardo J., Sales-Moioli, Ana Isabela Lopes, Brito, Talita, Fernandes, Felipe, Henriques, Jorge, Lima, Thaisa, Guedes, Luiz Affonso, Cruz, Agnaldo S., Morais, Antonio H.F., Santos, João Paulo Q., Arrais, Ernano, Coutinho, Karilany Dantas, Machado, Guilherme Medeiros, Cunha-Oliveira, Aliete, dos Reis Vale Gomes, Catarina Alexandra, and Valentim, Ricardo A.M.

Published
2024
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34. From telomere to telomere: The transcriptional and epigenetic state of human repeat elements

Author

Hoyt, Savannah J, Storer, Jessica M, Hartley, Gabrielle A, Grady, Patrick GS, Gershman, Ariel, de Lima, Leonardo G, Limouse, Charles, Halabian, Reza, Wojenski, Luke, Rodriguez, Matias, Altemose, Nicolas, Rhie, Arang, Core, Leighton J, Gerton, Jennifer L, Makalowski, Wojciech, Olson, Daniel, Rosen, Jeb, Smit, Arian FA, Straight, Aaron F, Vollger, Mitchell R, Wheeler, Travis J, Schatz, Michael C, Eichler, Evan E, Phillippy, Adam M, Timp, Winston, Miga, Karen H, and O'Neill, Rachel J

Subjects
Biological Sciences, Bioinformatics and Computational Biology, Genetics, Human Genome, Generic health relevance, Epigenesis, Genetic, Genome, Human, Humans, Repetitive Sequences, Nucleic Acid, Telomere, Transcription, Genetic, General Science & Technology
Abstract

Mobile elements and repetitive genomic regions are sources of lineage-specific genomic innovation and uniquely fingerprint individual genomes. Comprehensive analyses of such repeat elements, including those found in more complex regions of the genome, require a complete, linear genome assembly. We present a de novo repeat discovery and annotation of the T2T-CHM13 human reference genome. We identified previously unknown satellite arrays, expanded the catalog of variants and families for repeats and mobile elements, characterized classes of complex composite repeats, and located retroelement transduction events. We detected nascent transcription and delineated CpG methylation profiles to define the structure of transcriptionally active retroelements in humans, including those in centromeres. These data expand our insight into the diversity, distribution, and evolution of repetitive regions that have shaped the human genome.

Published
2022

35. Complete genomic and epigenetic maps of human centromeres

Author

Altemose, Nicolas, Logsdon, Glennis A, Bzikadze, Andrey V, Sidhwani, Pragya, Langley, Sasha A, Caldas, Gina V, Hoyt, Savannah J, Uralsky, Lev, Ryabov, Fedor D, Shew, Colin J, Sauria, Michael EG, Borchers, Matthew, Gershman, Ariel, Mikheenko, Alla, Shepelev, Valery A, Dvorkina, Tatiana, Kunyavskaya, Olga, Vollger, Mitchell R, Rhie, Arang, McCartney, Ann M, Asri, Mobin, Lorig-Roach, Ryan, Shafin, Kishwar, Lucas, Julian K, Aganezov, Sergey, Olson, Daniel, de Lima, Leonardo Gomes, Potapova, Tamara, Hartley, Gabrielle A, Haukness, Marina, Kerpedjiev, Peter, Gusev, Fedor, Tigyi, Kristof, Brooks, Shelise, Young, Alice, Nurk, Sergey, Koren, Sergey, Salama, Sofie R, Paten, Benedict, Rogaev, Evgeny I, Streets, Aaron, Karpen, Gary H, Dernburg, Abby F, Sullivan, Beth A, Straight, Aaron F, Wheeler, Travis J, Gerton, Jennifer L, Eichler, Evan E, Phillippy, Adam M, Timp, Winston, Dennis, Megan Y, O'Neill, Rachel J, Zook, Justin M, Schatz, Michael C, Pevzner, Pavel A, Diekhans, Mark, Langley, Charles H, Alexandrov, Ivan A, and Miga, Karen H

Subjects
Biological Sciences, Bioinformatics and Computational Biology, Genetics, Human Genome, Generic health relevance, Centromere, Chromosome Mapping, Epigenesis, Genetic, Evolution, Molecular, Genome, Human, Genomics, Humans, Repetitive Sequences, Nucleic Acid, General Science & Technology
Abstract

Existing human genome assemblies have almost entirely excluded repetitive sequences within and near centromeres, limiting our understanding of their organization, evolution, and functions, which include facilitating proper chromosome segregation. Now, a complete, telomere-to-telomere human genome assembly (T2T-CHM13) has enabled us to comprehensively characterize pericentromeric and centromeric repeats, which constitute 6.2% of the genome (189.9 megabases). Detailed maps of these regions revealed multimegabase structural rearrangements, including in active centromeric repeat arrays. Analysis of centromere-associated sequences uncovered a strong relationship between the position of the centromere and the evolution of the surrounding DNA through layered repeat expansions. Furthermore, comparisons of chromosome X centromeres across a diverse panel of individuals illuminated high degrees of structural, epigenetic, and sequence variation in these complex and rapidly evolving regions.

Published
2022

36. The complete sequence of a human genome

Author

Nurk, Sergey, Koren, Sergey, Rhie, Arang, Rautiainen, Mikko, Bzikadze, Andrey V, Mikheenko, Alla, Vollger, Mitchell R, Altemose, Nicolas, Uralsky, Lev, Gershman, Ariel, Aganezov, Sergey, Hoyt, Savannah J, Diekhans, Mark, Logsdon, Glennis A, Alonge, Michael, Antonarakis, Stylianos E, Borchers, Matthew, Bouffard, Gerard G, Brooks, Shelise Y, Caldas, Gina V, Chen, Nae-Chyun, Cheng, Haoyu, Chin, Chen-Shan, Chow, William, de Lima, Leonardo G, Dishuck, Philip C, Durbin, Richard, Dvorkina, Tatiana, Fiddes, Ian T, Formenti, Giulio, Fulton, Robert S, Fungtammasan, Arkarachai, Garrison, Erik, Grady, Patrick GS, Graves-Lindsay, Tina A, Hall, Ira M, Hansen, Nancy F, Hartley, Gabrielle A, Haukness, Marina, Howe, Kerstin, Hunkapiller, Michael W, Jain, Chirag, Jain, Miten, Jarvis, Erich D, Kerpedjiev, Peter, Kirsche, Melanie, Kolmogorov, Mikhail, Korlach, Jonas, Kremitzki, Milinn, Li, Heng, Maduro, Valerie V, Marschall, Tobias, McCartney, Ann M, McDaniel, Jennifer, Miller, Danny E, Mullikin, James C, Myers, Eugene W, Olson, Nathan D, Paten, Benedict, Peluso, Paul, Pevzner, Pavel A, Porubsky, David, Potapova, Tamara, Rogaev, Evgeny I, Rosenfeld, Jeffrey A, Salzberg, Steven L, Schneider, Valerie A, Sedlazeck, Fritz J, Shafin, Kishwar, Shew, Colin J, Shumate, Alaina, Sims, Ying, Smit, Arian FA, Soto, Daniela C, Sović, Ivan, Storer, Jessica M, Streets, Aaron, Sullivan, Beth A, Thibaud-Nissen, Françoise, Torrance, James, Wagner, Justin, Walenz, Brian P, Wenger, Aaron, Wood, Jonathan MD, Xiao, Chunlin, Yan, Stephanie M, Young, Alice C, Zarate, Samantha, Surti, Urvashi, McCoy, Rajiv C, Dennis, Megan Y, Alexandrov, Ivan A, Gerton, Jennifer L, O’Neill, Rachel J, Timp, Winston, Zook, Justin M, Schatz, Michael C, Eichler, Evan E, Miga, Karen H, and Phillippy, Adam M

Subjects
Biological Sciences, Bioinformatics and Computational Biology, Genetics, Human Genome, 1.1 Normal biological development and functioning, Underpinning research, Generic health relevance, Cell Line, Chromosomes, Artificial, Bacterial, Chromosomes, Human, Genome, Human, Human Genome Project, Humans, Reference Values, Sequence Analysis, DNA, General Science & Technology
Abstract

Since its initial release in 2000, the human reference genome has covered only the euchromatic fraction of the genome, leaving important heterochromatic regions unfinished. Addressing the remaining 8% of the genome, the Telomere-to-Telomere (T2T) Consortium presents a complete 3.055 billion-base pair sequence of a human genome, T2T-CHM13, that includes gapless assemblies for all chromosomes except Y, corrects errors in the prior references, and introduces nearly 200 million base pairs of sequence containing 1956 gene predictions, 99 of which are predicted to be protein coding. The completed regions include all centromeric satellite arrays, recent segmental duplications, and the short arms of all five acrocentric chromosomes, unlocking these complex regions of the genome to variational and functional studies.

Published
2022

39. Explainable Online Monitoring of Metric Temporal Logic

Author

Lima, Leonardo, Herasimau, Andrei, Raszyk, Martin, Traytel, Dmitriy, Yuan, Simon, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Sankaranarayanan, Sriram, editor, and Sharygina, Natasha, editor

Published
2023
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40. Mathematical Modeling: A Conceptual Approach of Linear Algebra as a Tool for Technological Applications

Author

Lima, Leonardo Bruscagini de, Iano, Yuzo, Oliveira, Gabriel Gomes de, Vaz, Gabriel Caumo, Almeida, Alecssander Daniel de, Motta, Gustavo Bertozzi, Villaça, Gabriel Matsumoto, Schwarz, Matias Oliveira, Noritomi, Pedro Y., Howlett, Robert J., Series Editor, Jain, Lakhmi C., Series Editor, Iano, Yuzo, editor, Saotome, Osamu, editor, Kemper Vásquez, Guillermo Leopoldo, editor, Cotrim Pezzuto, Claudia, editor, Arthur, Rangel, editor, and Gomes de Oliveira, Gabriel, editor

Published
2023
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42. Development of technologies to support the diagnosis of infectious diseases and cancer to support the primary health care

Author

Ferreira, Matheus A. C., Carvalho, Dionísio D. A., Cruz, Agnaldo S., Coutinho, Karilany D., Oliveira, Carlos A. P., Morais, Antonio H. F., Santos, João Paulo Q., Mayrink, Nadja N. V., Galvão-Lima, Leonardo J., Sales-Moioli, Ana Isabela L., Barros, Daniele M. S., Albuquerque, Gabriela A., Alves, Luca P. C. F., Teixeira, César A. D., Henriques, Jorge M. O., Gil, Paulo, Gusmão, Cristine M. G., and Valentim, Ricardo A. M.

Published
2023
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44. Expression of O-glycosylated oncofetal fibronectin in alternatively activated human macrophages

Author

da Costa Santos, Marcos Andre Rodrigues, dos Reis, Jhenifer Santos, do Nascimento Santos, Carlos Antonio, da Costa, Kelli Monteiro, Barcelos, Pedro Marçal, de Oliveira Francisco, Karen Queiroz, Barbosa, Pedro Antônio Guimarães Notaroberto, da Silva, Emanuelle Damasceno Souza, Freire-de-Lima, Celio Geraldo, Morrot, Alexandre, Decote-Ricardo, Debora, Diniz-Lima, Israel, Previato, Jose Osvaldo, Mendonca-Previato, Lucia, da Fonseca, Leonardo Marques, and Freire-de-Lima, Leonardo

Published
2023
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45. Laplacian integral graphs with a given degree sequence constraint

Author

Novanta, Anderson Fernandes, Oliveira, Carla S., and de Lima, Leonardo S.

Subjects
Mathematics - Combinatorics, Mathematics - Spectral Theory, 05C50
Abstract

Let G be a graph on n vertices. The Laplacian matrix of G, denoted by L(G), is defined as L(G) = D(G) - A(G), where A(G) is the adjacency matrix of G and D(G) is the diagonal matrix of the vertex degrees of G. A graph G is said to be L-integral is all eigenvalues of the matrix L(G) are integers. In this paper, we characterize all L-integral non-bipartite graphs among all connected graphs with at most two vertices of degree larger than or equal to three., Comment: 17 pages

Published
2020

46. Probing the Top-Higgs Sector with Composite Higgs Models at Present and Future Hadron Colliders

Author

Bautista, Carlos, de Lima, Leonardo, Matheus, Ricardo D., Pontón, Eduardo, Prado, Leônidas A. F. do, and Savoy-Navarro, Aurore

Subjects
High Energy Physics - Phenomenology, High Energy Physics - Experiment
Abstract

We study the production of $t{\bar t}h$ and $t{\bar t}hh$ at hadron colliders, in the minimal Composite Higgs Models, based on the coset $SO(5)/SO(4)$. We explore the fermionic representations ${\bf 5}$ and ${\bf 14}$. A detailed phenomenological analysis is performed, covering the energy range of the LHC and its High Luminosity upgrade, as well as that of a future 100 TeV hadron collider. Both resonant and non-resonant production are considered, stressing the interplay and complementary interest of these channels with each other and double Higgs production. We provide sets of representative points with detailed experimental outcomes in terms of modification of the cross sections as well as resonance masses and branching ratios. For non-resonant production, we gauge the relative importance of Yukawa, Higgs trilinear, and contact $t\bar{t}hh$ vertices to these processes, and consider the prospect for distinguishing the fermion representations from each other and from the Standard Model. In the production of top partners, we find that the three-body decay channel $W^+ W^- t$ becomes significant in certain regions of parameter space having a degenerate spectrum, and is further enhanced with energy. This motivates both higher energy machines as well as the need to go beyond the current analysis performed for the searches for these resonances., Comment: 68 pages, 21 figures, supplementary figures in ancillary directory

Published
2020
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47. On the Graovac-Ghorbani index for bicyclic graphs with no pendant vertices

Author

Pacheco, Diego, de Lima, Leonardo, and Oliveira, Carla Silva

Subjects
Mathematics - General Mathematics
Abstract

Let $G=(V,E)$ be a simple undirected and connected graph on $n$ vertices. The Graovac--Ghorbani index of a graph $G$ is defined as $$ABC_{GG}(G)= \sum_{uv \in E(G)} \sqrt{\frac{n_{u}+n_{v}-2} {n_{u} n_{v}}},$$ where $n_u$ is the number of vertices closer to vertex $u$ than vertex $v$ of the edge $uv \in E(G)$ and $n_{v}$ is defined analogously. It is well-known that all bicyclic graphs with no pendant vertices are composed by three families of graphs, which we denote by $\mathcal{B}_{n} = B_1(n) \cup B_2(n) \cup B_3(n).$ In this paper, we give an lower bound to the $ABC_{GG}$ index for all graphs in $B_1(n)$ and prove it is sharp by presenting its extremal graphs. Additionally, we conjecture a sharp lower bound to the $ABC_{GG}$ index for all graphs in $\mathcal{B}_{n}.$

Published
2020

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