Title
Mixed Moore Cayley graphs.
Abstract
Cayley graphs are well known objects with interesting properties, also in the context of Moore graphs and digraphs. In 1978 Bosák extended Moore's property to the mixed setting (with arcs allowed along with edges), in the so called mixed Moore graphs: those having a unique trail between pairs of vertices at a distance smaller than or equal to the diameter. In this paper we adapt Cayley's construction to mixed graphs and we show certain mixed Moore graphs are Cayley while some other cannot be Cayley.
Year
DOI
Venue
2014
10.1016/j.endm.2014.08.026
Electronic Notes in Discrete Mathematics
Keywords
Field
DocType
Graph,digraph,mixed graph,Moore,Cayley
Discrete mathematics,Indifference graph,Combinatorics,Moore graph,Vertex-transitive graph,Vertex (geometry),Cayley table,Cayley graph,Chordal graph,Mixed graph,Mathematics
Journal
Volume
ISSN
Citations 
46
1571-0653
5
PageRank 
References 
Authors
0.70
2
3
Name
Order
Citations
PageRank
Nacho López1439.42
Hebert Pérez-Rosés250.70
Jordi Pujolàs3245.98