Complete characterization of almost Moore digraphs of degree three | NOVA. The University of Newcastle's Digital Repository

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/24431

Title: Complete characterization of almost Moore digraphs of degree three
Author/Creator: Baskoro, Edy Tri; Miller, Mirka; Širáň, Jozef; Sutton, Martin
Description: It is well known that Moore digraphs do not exist except for trivial cases (degree 1 or diameter 1), but there are digraphs of diameter two and arbitrary degree which miss the Moore bound by one. No examples of such digraphs of diameter at least three are known, although several necessary conditions for their existence have been obtained. In this paper, we prove that digraphs of degree three and diameter k greater than or equal to 3 which miss the Moore bound by one do not exist.
Relation: Journal of Graph Theory Vol. 48, no. 2, p. 112-126
Publisher Link: http://dx.doi.org/10.1002/jgt.20042
Date: 2005
Publisher: John Wiley & Sons
Keyword(s): digraphs; Moore bound; degree/diameter problem; graphs; diameter-2
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/24431
Identifier: ISSN:1097-0118
Language: eng

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