On regular factors in regular graphs with small radius.
Hoffmann, Arne, Volkmann, Lutz (2004)
The Electronic Journal of Combinatorics [electronic only]
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Hoffmann, Arne, Volkmann, Lutz (2004)
The Electronic Journal of Combinatorics [electronic only]
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Csaba, Béla (2007)
The Electronic Journal of Combinatorics [electronic only]
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Martin Knor (2014)
Discussiones Mathematicae Graph Theory
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In this note we present a sharp lower bound on the number of vertices in a regular graph of given degree and diameter.
Gerke, Stefanie, Steger, Angelika (2007)
The Electronic Journal of Combinatorics [electronic only]
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Vladimír Vetchý (1991)
Archivum Mathematicum
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Volkmann, Lutz (2007)
The Electronic Journal of Combinatorics [electronic only]
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Lepovic, Mirko (2011)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: 05C50. We say that a regular graph G of order n and degree r і 1 (which is not the complete graph) is strongly regular if there exist non-negative integers t and q such that |SiЗSj| = t for any two adjacent vertices i and j, and |SiЗSj| = q for any two distinct non-adjacent vertices i and j, where Sk denotes the neighborhood of the vertex k. Let l1 = r, l2 and l3 be the distinct eigenvalues of a connected strongly regular graph. Let...
D. M. Cardoso, D. Cvetković (2006)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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