A survey on the missing Moore graph

DOI10.1016/j.laa.2018.12.035zbMath1411.05155OpenAlexW2910585818WikidataQ128580589 ScholiaQ128580589MaRDI QIDQ2418974

C. Dalfó

Publication date: 29 May 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10459.1/65591

zbMATH Keywords

distance-regular graphautomorphismsspectral graph theoryMoore graphsoutindependent graph

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Ordinary representations and characters (20C15) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12)

Related Items (4)

Unnamed Item ⋮ A lower bound for the discriminant of polynomials related to Chebyshev polynomials ⋮ Complexity and algorithms for constant diameter augmentation problems ⋮ A general method to obtain the spectrum and local spectra of a graph from its regular partitions

Cites Work

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• Distance-regular graphs
• Edge-distance-regular graphs are distance-regular
• Spectra of graphs
• Search for properties of the missing Moore graph
• Problems in algebraic combinatorics
• Interlacing eigenvalues and graphs
• Graphs without dead ends
• Distance-regular graphs where the distance-\(d\) graph has fewer distinct eigenvalues
• The nonexistence of rank three permutation groups of degree 3250 and subdegree 57
• An Algebraic Characterization of Completely Regular Codes in Distance-Regular Graphs
• On Moore Graphs with Diameters 2 and 3
• On the Shannon capacity of a graph
• On outindependent subgraphs of strongly regular graphs
• There is No Irregular Moore Graph

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