Name
Abstract | ||
|---|---|---|
Mixed almost Moore graphs appear in the context of the Degree/Diameter problem as a class of extremal mixed graphs, in the sense that their order is one less than the Moore bound for mixed graphs. The problem of their existence has been considered before for directed graphs and undirected ones, but not for the mixed case, which is a kind of generalization. In this paper we give some necessary conditions for the existence of mixed almost Moore graphs of diameter two derived from the factorization in Q[x] of their characteristic polynomial. In this context, we deal with the irreducibility of Phi(i), (x(2) + x - (r - 1)), where Phi(i), (x) denotes the i-th cyclotomic polynomial. |
Year | Venue | Keywords |
|---|---|---|
2016 | ELECTRONIC JOURNAL OF COMBINATORICS | Degree/Diameter problem,mixed almost Moore graph,characteristic polynomial,cyclotomic polynomial,permutation cycle structure |
Field | DocType | Volume |
Discrete mathematics,Characteristic polynomial,Combinatorics,Cyclotomic polynomial,Chordal graph,Irreducibility,Directed graph,Mixed graph,Factorization,Mathematics,Degree diameter problem | Journal | 23 |
Issue | ISSN | Citations |
2.0 | 1077-8926 | 1 |
PageRank | References | Authors |
0.36 | 8 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Nacho López | 1 | 43 | 9.42 |
| Josep M. Miret | 2 | 81 | 14.88 |