- Title
- On the nonexistence of almost Moore digraphs
- Creator
- Conde, J.; Gimbert, J.; González, J.; Miller, M.; Miret, J. M.
- Relation
- European Journal of Combinatorics Vol. 39, p. 170-177
- Publisher Link
- http://dx.doi.org/10.1016/j.ejc.2013.12.003
- Publisher
- Academic Press
- Resource Type
- journal article
- Date
- 2014
- Description
- Digraphs of maximum out-degree at most d>1, diameter at most k>1 and order N(d,k)=d+⋯+dk are called almost Moore or(d,k)-digraphs. So far, the problem of their existence has been solved only when d=2,3 or k=2,3,4. In this paper we derive the nonexistence of (d,k)-digraphs, with k>4 and d>3, under the assumption of a conjecture related to the factorization of the polynomials Φn(1+x+⋯+xk), where Φn(x) denotes the nnth cyclotomic polynomial and 1
- Subject
- Moore digraphs; polynomials; mathematics
- Identifier
- http://hdl.handle.net/1959.13/1305206
- Identifier
- uon:20998
- Identifier
- ISSN:0195-6698
- Language
- eng
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