- Title
- Complete characterization of almost moore digraphs of degree three
- Creator
- Baskoro, Edy; Miller, Mirka; Siran, Jozef; Sutton, Martin
- Date
- 2005
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/65886
- Identifier
- vital:101
- Identifier
-
https://doi.org/10.1002/jgt.20042
- Identifier
- ISSN:0364-9024
- Abstract
- 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 ≥ 3 which miss the Moore bound by one do not exist. © 2004 Wiley Periodicals, Inc.; C1
- Publisher
- Wiley
- Relation
- Journal of Graph Theory Vol. 48, no. 2 (2005), p. 112-126
- Rights
- Copyright Wiley
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; Degree/diameter problem; Digraphs; Moore bound; Matrix algebra; Problem solving; Theorem proving; Topology; Bounded diameter; Graph theory
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