Search for properties of the missing Moore graph

DOI10.1016/j.laa.2009.07.018zbMath1217.05149OpenAlexW2065712795WikidataQ30051060 ScholiaQ30051060MaRDI QIDQ962127

Jozef Širáň, Martin Mačaj

Publication date: 6 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.07.018

zbMATH Keywords

rational representationsspectral graph theoryMoore graphs

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)

Related Items (19)

Cayley graphs of diameter two with order greater than \(0.684\) of the Moore bound for any degree ⋮ On the defect of vertex-transitive graphs of given degree and diameter ⋮ Unnamed Item ⋮ ON A CLASS OF EDGE-TRANSITIVE DISTANCE-REGULAR ANTIPODAL COVERS OF COMPLETE GRAPHS ⋮ Graphs derived from perfect difference sets ⋮ On automorphisms of distance-regular graphs with intersection array \(\{56,\, 45,\, 1;\, 1,\, 9,\, 56\}\) ⋮ Moore Graphs and Cycles Are Extremal Graphs for Convex Cycles ⋮ Cayley graphs of diameter two and any degree with order half of the Moore bound ⋮ A survey on the missing Moore graph ⋮ Approaching the Moore bound for diameter two by Cayley graphs ⋮ Small vertex-symmetric Higman graphs with \(\mu=6\) ⋮ On a family of strongly regular graphs with \(\lambda = 1\) ⋮ Automorphisms of Higman graphs with \(\mu=6\) ⋮ On the critical group of the missing Moore graph ⋮ On prime order automorphisms of generalized quadrangles ⋮ A note on Moore Cayley digraphs ⋮ Unnamed Item ⋮ Automorphisms of an \(AT4(4, 4, 2)\)-graph and of the corresponding strongly regular graphs ⋮ Automorphisms of a strongly regular graph with parameters \((1305, 440, 115, 165)\)

Uses Software

• GAP

Cites Work

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• Problems in algebraic combinatorics
• The nonexistence of rank three permutation groups of degree 3250 and subdegree 57
• Moore graphs and beyond: a survey of the degree/diameter problem
• On Moore Graphs with Diameters 2 and 3

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