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Maxima of the $Q$-index of non-bipartite graphs: forbidden short odd cycles
- Publication Year :
- 2022
-
Abstract
- Let $G$ be a non-bipartite graph which does not contain any odd cycle of length at most $2k+1$. In this paper, we determine the maximum $Q$-index of $G$ if its order is fixed, and the corresponding extremal graph is uniquely characterized. Moreover, if the size of $G$ is given, the maximum $Q$-index of $G$ and the unique extremal graph are also proved.<br />Comment: 15 pages, 5 figures. arXiv admin note: text overlap with arXiv:2209.00801
- Subjects :
- Mathematics - Combinatorics
05C50, 05C35
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2212.14525
- Document Type :
- Working Paper