Výsledky vyhledávání - "Cao, Meng‐Yue"

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Two characterizations of the grid graphs

Autor: Gebremichel, Brhane, Cao, Meng-Yue, Koolen, Jack H.

Publikováno v: B. Gebremichel, M. Y. Cao, J. H. Koolen, Two characterizations of the grid graphs, Discrete Mathematics, 344(2021) 112550

In this paper we give two characterizations of the $p \times q$-grid graphs as co-edge-regular graphs with four distinct eigenvalues.
Comment: 18 pages, 1 table

Externí odkaz: http://arxiv.org/abs/2103.02428

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Maximality of Seidel matrices and switching roots of graphs

Autor: Cao, Meng-Yue, Koolen, Jack H., Munemasa, Akihiro, Yoshino, Kiyoto

In this paper, we discuss maximality of Seidel matrices with a fixed largest eigenvalue. We present a classification of maximal Seidel matrices of largest eigenvalue $3$, which gives a classification of maximal equiangular lines in a Euclidean space

Externí odkaz: http://arxiv.org/abs/2102.11989

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Recent progress on graphs with fixed smallest eigenvalue

Autor: Koolen, Jack H., Cao, Meng-Yue, Yang, Qianqian

We give a survey on graphs with fixed smallest eigenvalue, especially on graphs with large minimal valency and also on graphs with good structures. Our survey mainly consists of the following two parts: (i) Hoffman graphs, the basic theory related to

Externí odkaz: http://arxiv.org/abs/2011.11935

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The Lemmens-Seidel conjecture and forbidden subgraphs

Autor: Cao, Meng-Yue, H, Jack, Koolen, Lin, Yen-Chi Roger, Yu, Wei-Hsuan

In this paper we show that the conjecture of Lemmens and Seidel of 1973 for systems of equiangular lines with common angle $\arccos (1/5)$ is true. Our main tool is forbidden subgraphs for smallest Seidel eigenvalue $-5$.
Comment: 28 pages, 2 ta

Externí odkaz: http://arxiv.org/abs/2003.07511

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