On the nonexistence of almost Moore digraphs

DOI10.1016/j.ejc.2013.12.003zbMath1284.05113OpenAlexW2051851659MaRDI QIDQ2441957

Mirka Miller, Josep M. Miret Biosca, Josep González, Joan Gimbert, Josep Conde

Publication date: 31 March 2014

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2013.12.003

zbMATH Keywords

\((d,k)\)-digraphs

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Directed graphs (digraphs), tournaments (05C20)

Related Items

Eulogy for Professor Mirka Miller (1949--2016) ⋮ On digraphs of excess one ⋮ Nonexistence of almost Moore digraphs of degrees 4 and 5 with self-repeats ⋮ On diregular digraphs with degree two and excess three

Cites Work

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• Nonexistence of almost Moore digraphs of diameter three
• On the impossibility of directed Moore graphs
• On the existence of \((d,k)\)-digraphs
• On the structure of digraphs with order close to the Moore bound
• Nonexistence of almost Moore digraphs of diameter four
• Almost Moore digraphs are diregular
• Enumerations of vertex orders of almost Moore digraphs with selfrepeats
• Moore graphs and beyond: a survey of the degree/diameter problem
• Divisibility conditions in almost Moore digraphs with selfrepeats
• Complete characterization of almost Moore digraphs of degree three
• Enumeration of almost Moore digraphs of diameter two

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