Baskoro, E. T.; Miller, M.; Sutton, M. and Siran, J.
|DOI (Digital Object Identifier) Link:||http://doi.org/10.1002/jgt.20042|
|Google Scholar:||Look up in Google Scholar|
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.
|Item Type:||Journal Article|
|Keywords:||digraphs; Moore bound; degree/diameter problem|
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Jozef Širáň|
|Date Deposited:||14 Jun 2007|
|Last Modified:||02 Aug 2016 13:07|
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