Cayley graphs of given degree and diameter for cyclic, Abelian, and metacyclic groups

DOI10.1016/j.disc.2011.03.038zbMath1232.05091OpenAlexW2029460574MaRDI QIDQ658024

Jana Šiagiová, Heather Macbeth, Jozef Širáň

Publication date: 11 January 2012

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2011.03.038

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

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Cites Work

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• On the limitations of the use of solvable groups in Cayley graph cage constructions
• On the impossibility of directed Moore graphs
• A note on large graphs of diameter two and given maximum degree
• On \(h\)-bases and \(h\)-decompositions of the finite solvable and alternating groups
• Large Cayley graphs on an abelian group
• Bases and decomposition numbers of finite groups
• Asymptotically large (\(\Delta,D\))-graphs
• A note on large Cayley graphs of diameter two and given degree
• Moore graphs and beyond: a survey of the degree/diameter problem
• On Regular Bases of Finite Groups
• Large Cayley graphs and vertex-transitive non-Cayley graphs of given degree and diameter
• The Degree-Diameter Problem for Several Varieties of Cayley Graphs I: The Abelian Case

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