Maximizing the Order of a Regular Graph of Given Valency and Second Eigenvalue
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Publication:2818201
DOI10.1137/15M1030935zbMath1344.05086arXiv1503.06286OpenAlexW2518216876MaRDI QIDQ2818201
Hiroshi Nozaki, Jason R. Vermette, Sebastian M. Cioabă, Jack H. Koolen
Publication date: 6 September 2016
Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.06286
Programming involving graphs or networks (90C35) Extremal problems in graph theory (05C35) Linear programming (90C05) Graph theory (including graph drawing) in computer science (68R10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)
Related Items (7)
A Spectral Moore Bound for Bipartite Semiregular Graphs ⋮ On the spectrum and linear programming bound for hypergraphs ⋮ On the order of regular graphs with fixed second largest eigenvalue ⋮ Explicit Bounds from the Alon–Boppana Theorem ⋮ A spectral version of the Moore problem for bipartite regular graphs ⋮ Open problems in the spectral theory of signed graphs ⋮ Recent progress on graphs with fixed smallest adjacency eigenvalue: a survey
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