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374 results on '"BEREG, SERGEY"'

54. Faster Algorithms for Rigidity in the Plane

Author

Bereg, Sergey

Subjects
Computer Science - Computational Geometry
Abstract

In [1], a new construction called red-black hierarchy characterizing Laman graphs and an algorithm for computing it were presented. For a Laman graph G=(V,E) with n vertices it runs in O(n^2) time assuming that a partition of (V,E+e) into two spanning trees is given. We show that a simple modification reduces the running time to O(n\log n). The total running time can be reduced O(n\sqrt{n\log n}) using the algorithm by Gabow and Westermann [2] for partitioning a graph into two forests. The existence of a red-black hierarchy is a necessary and sufficient condition for a graph to be a Laman graph. The algorithm for constructing a red-black hierarchy can be then modified to recognize Laman graphs in the same time.

Published
2007

55. Compatible Geometric Matchings

Author

Aichholzer, Oswin, Bereg, Sergey, Dumitrescu, Adrian, García, Alfredo, Huemer, Clemens, Hurtado, Ferran, Kano, Mikio, Márquez, Alberto, Rappaport, David, Smorodinsky, Shakhar, Souvaine, Diane, Urrutia, Jorge, and Wood, David R.

Subjects
Mathematics - Combinatorics, 52C99
Abstract

This paper studies non-crossing geometric perfect matchings. Two such perfect matchings are \emph{compatible} if they have the same vertex set and their union is also non-crossing. Our first result states that for any two perfect matchings $M$ and $M'$ of the same set of $n$ points, for some $k\in\Oh{\log n}$, there is a sequence of perfect matchings $M=M_0,M_1,...,M_k=M'$, such that each $M_i$ is compatible with $M_{i+1}$. This improves the previous best bound of $k\leq n-2$. We then study the conjecture: \emph{every perfect matching with an even number of edges has an edge-disjoint compatible perfect matching}. We introduce a sequence of stronger conjectures that imply this conjecture, and prove the strongest of these conjectures in the case of perfect matchings that consist of vertical and horizontal segments. Finally, we prove that every perfect matching with $n$ edges has an edge-disjoint compatible matching with approximately $4n/5$ edges., Comment: improved exposition and improved results

Published
2007
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56. Voronoi Diagram of Polygonal Chains under the Discrete Fr\'echet Distance

Author

Bereg, Sergey, Gavrilova, Marina, and Zhu, Binhai

Subjects
Computer Science - Computational Geometry, Computer Science - Computational Complexity, F.2.2, G.2.1
Abstract

Polygonal chains are fundamental objects in many applications like pattern recognition and protein structure alignment. A well-known measure to characterize the similarity of two polygonal chains is the famous Fr\`{e}chet distance. In this paper, for the first time, we consider the Voronoi diagram of polygonal chains in $d$-dimension ($d=2,3$) under the discrete Fr\`{e}chet distance. Given $n$ polygonal chains ${\cal C}$ in $d$-dimension ($d=2,3$), each with at most $k$ vertices, we prove fundamental properties of such a Voronoi diagram {\em VD}$_F({\cal C})$ by presenting the first known upper and lower bounds for {\em VD}$_F({\cal C})$., Comment: 13 pages, 2 figures

Published
2007

57. On the Fixed-Parameter Tractability of Some Matching Problems Under the Color-Spanning Model

Author

Bereg, Sergey, Ma, Feifei, Wang, Wencheng, Zhang, Jian, Zhu, Binhai, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Xiao, Mingyu, editor, and Rosamond, Frances, editor

Published
2017
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59. On the 2-Center Problem Under Convex Polyhedral Distance Function

Author

Bereg, Sergey, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Chan, T-H. Hubert, editor, Li, Minming, editor, and Wang, Lusheng, editor

Published
2016
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60. Smallest Maximum-Weight Circle for Weighted Points in the Plane

Author

Bereg, Sergey, Daescu, Ovidiu, Zivanic, Marko, Rozario, Timothy, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Gervasi, Osvaldo, editor, Murgante, Beniamino, editor, Misra, Sanjay, editor, Gavrilova, Marina L., editor, Rocha, Ana Maria Alves Coutinho, editor, Torre, Carmelo, editor, Taniar, David, editor, and Apduhan, Bernady O., editor

Published
2015
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65. Improved Permutation Arrays for Kendall Tau Metric

Author

Bereg, Sergey, Bumpass, William, Haghpanah, Mohammadreza, Malouf, Brian, and Sudborough, I. Hal

Subjects
FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO)
Abstract

Permutation arrays under the Kendall-$\tau$ metric have been considered for error-correcting codes. Given $n$ and $d\in [1,{n\choose 2}]$, the task is to find a large permutation array of permutations on $n$ symbols with pairwise Kendall-$\tau$ distance at least $d$. Let $P(n,d)$ denote the maximum size of any permutation array of permutations on $n$ symbols with pairwise Kendall-$\tau$ distance $d$. Using new recursive techniques, new automorphisms, and programs that combine randomness and greedy strategies, we obtain several improved lower bounds for $P(n,d)$.

Published
2023
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66. Monadic Decomposition

Author

Veanes, Margus, Bjørner, Nikolaj, Nachmanson, Lev, Bereg, Sergey, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Kobsa, Alfred, editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Weikum, Gerhard, editor, Biere, Armin, editor, and Bloem, Roderick, editor

Published
2014
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69. On the Edge Crossing Properties of Euclidean Minimum Weight Laman Graphs

Author

Bereg, Sergey, Hong, Seok-Hee, Katoh, Naoki, Poon, Sheung-Hung, Tanigawa, Shin-ichi, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Cai, Leizhen, editor, Cheng, Siu-Wing, editor, and Lam, Tak-Wah, editor

Published
2013
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70. Small Work Space Algorithms for Some Basic Problems on Binary Images

Author

Asano, Tetsuo, Bereg, Sergey, Buzer, Lilian, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Barneva, Reneta P., editor, Brimkov, Valentin E., editor, and Aggarwal, Jake K., editor

Published
2012
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71. A New Framework for Connected Components Labeling of Binary Images

Author

Asano, Tetsuo, Bereg, Sergey, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Barneva, Reneta P., editor, Brimkov, Valentin E., editor, and Aggarwal, Jake K., editor

Published
2012
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72. Edge Routing with Ordered Bundles

Author

Pupyrev, Sergey, Nachmanson, Lev, Bereg, Sergey, Holroyd, Alexander E., Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Nierstrasz, Oscar, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Sudan, Madhu, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Vardi, Moshe Y., Series editor, Weikum, Gerhard, Series editor, van Kreveld, Marc, editor, and Speckmann, Bettina, editor

Published
2012
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74. Approximating Barrier Resilience in Wireless Sensor Networks

Author

Bereg, Sergey, Kirkpatrick, David, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, and Dolev, Shlomi, editor

Published
2009
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75. Finding Nearest Larger Neighbors : A Case Study in Algorithm Design and Analysis

Author

Asano, Tetsuo, Bereg, Sergey, Kirkpatrick, David, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Nierstrasz, Oscar, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Sudan, Madhu, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Vardi, Moshe Y., Series editor, Weikum, Gerhard, Series editor, Albers, Susanne, editor, Alt, Helmut, editor, and Näher, Stefan, editor

Published
2009
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76. On the Red/Blue Spanning Tree Problem

Author

Bereg, Sergey, Jiang, Minghui, Yang, Boting, Zhu, Binhai, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Chen, Jianer, editor, and Cooper, S. Barry, editor

Published
2009
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77. Counting Faces in Split Networks

Author

Bao, Lichen, Bereg, Sergey, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Nierstrasz, Oscar, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Sudan, Madhu, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Vardi, Moshe Y., Series editor, Weikum, Gerhard, Series editor, Istrail, Sorin, editor, Pevzner, Pavel, editor, Waterman, Michael S., editor, Măndoiu, Ion, editor, Narasimhan, Giri, editor, and Zhang, Yanqing, editor

Published
2009
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79. On Covering Problems of Rado

Author

Bereg, Sergey, Dumitrescu, Adrian, Jiang, Minghui, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, and Gudmundsson, Joachim, editor

Published
2008
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80. Voronoi Diagram of Polygonal Chains under the Discrete Fréchet Distance

Author

Bereg, Sergey, Buchin, Kevin, Buchin, Maike, Gavrilova, Marina, Zhu, Binhai, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Hu, Xiaodong, editor, and Wang, Jie, editor

Published
2008
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81. On Some City Guarding Problems

Author

Bao, Lichen, Bereg, Sergey, Daescu, Ovidiu, Ntafos, Simeon, Zhou, Junqiang, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Hu, Xiaodong, editor, and Wang, Jie, editor

Published
2008
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82. Transforming Graphs with the Same Degree Sequence

Author

Bereg, Sergey, Ito, Hiro, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Nierstrasz, Oscar, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Sudan, Madhu, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Vardi, Moshe Y., Series editor, Weikum, Gerhard, Series editor, Ito, Hiro, editor, Kano, Mikio, editor, Katoh, Naoki, editor, and Uno, Yushi, editor

Published
2008
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83. Clustered SplitsNetworks

Author

Bao, Lichen, Bereg, Sergey, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Yang, Boting, editor, Du, Ding-Zhu, editor, and Wang, Cao An, editor

Published
2008
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84. Simplifying 3D Polygonal Chains Under the Discrete Fréchet Distance

Author

Bereg, Sergey, Jiang, Minghui, Wang, Wencheng, Yang, Boting, Zhu, Binhai, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Laber, Eduardo Sany, editor, Bornstein, Claudson, editor, Nogueira, Loana Tito, editor, and Faria, Luerbio, editor

Published
2008
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86. Straightening Drawings of Clustered Hierarchical Graphs

Author

Bereg, Sergey, Völker, Markus, Wolff, Alexander, Zhang, Yuanyi, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Rangan, C. Pandu, editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, van Leeuwen, Jan, editor, Italiano, Giuseppe F., editor, van der Hoek, Wiebe, editor, Meinel, Christoph, editor, Sack, Harald, editor, and Plášil, František, editor

Published
2007
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87. A PTAS for Cutting Out Polygons with Lines

Author

Bereg, Sergey, Daescu, Ovidiu, Jiang, Minghui, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Chen, Danny Z., editor, and Lee, D. T., editor

Published
2006
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88. Matching Points with Rectangles and Squares

Author

Bereg, Sergey, Mutsanas, Nikolaus, Wolff, Alexander, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Wiedermann, Jiří, editor, Tel, Gerard, editor, Pokorný, Jaroslav, editor, Bieliková, Mária, editor, and Štuller, Július, editor

Published
2006
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89. Wiener Indices of Balanced Binary Trees

Author

Bereg, Sergey, Wang, Hao, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Sunderam, Vaidy S., editor, van Albada, Geert Dick, editor, Sloot, Peter M. A., editor, and Dongarra, Jack J., editor

Published
2005
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90. Sliding Disks in the Plane

Author

Bereg, Sergey, Dumitrescu, Adrian, Pach, János, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Akiyama, Jin, editor, Kano, Mikio, editor, and Tan, Xuehou, editor

Published
2005
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91. Algorithms for the d-Dimensional Rigidity Matroid of Sparse Graphs

Author

Bereg, Sergey, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Akiyama, Jin, editor, Kano, Mikio, editor, and Tan, Xuehou, editor

Published
2005
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93. New Bounds on Map Labeling with Circular Labels

Author

Jiang, Minghui, Bereg, Sergey, Qin, Zhongping, Zhu, Binhai, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Fleischer, Rudolf, editor, and Trippen, Gerhard, editor

Published
2005
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94. Equipartitions of Measures by 2-Fans

Author

Bereg, Sergey, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Fleischer, Rudolf, editor, and Trippen, Gerhard, editor

Published
2005
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95. On maximum-sum matchings of points

Author

Bereg, Sergey, primary, Chacón-Rivera, Oscar P., additional, Flores-Peñaloza, David, additional, Huemer, Clemens, additional, Pérez-Lantero, Pablo, additional, and Seara, Carlos, additional

Published
2022
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