期刊
JOURNAL OF COMBINATORIAL THEORY SERIES A
卷 166, 期 -, 页码 42-58出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcta.2019.02.018
关键词
Spectral radius; Complete minor; Colin de Verdiere parameter; Extremal graph theory
类别
资金
- NSF [DMS-1606350]
In this paper we characterize graphs which maximize the spectral radius of their adjacency matrix over all graphs of Colin de Verdiere parameter at most m. We also characterize graphs of maximum spectral radius with no H as a minor when H is either K-r or K-s,K-t. Interestingly, the extremal graphs match those which maximize the number of edges over all graphs with no H as a minor when r and s are small, but not when they are larger. (C) 2019 Elsevier Inc. All rights reserved.
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