Title
Hamiltonian cycles in (2,3,c)-circulant digraphs
Abstract
Let D be the circulant digraph with n vertices and connection set {2,3,c}. (Assume D is loopless and has outdegree 3.) Work of S.C.Locke and D.Witte implies that if n is a multiple of 6, c@?{(n/2)+2,(n/2)+3}, and c is even, then D does not have a hamiltonian cycle. For all other cases, we construct a hamiltonian cycle in D.
Year
DOI
Venue
2009
10.1016/j.disc.2009.01.001
Discrete Mathematics
Keywords
Field
DocType
circulant,directed graph,hamiltonian cycle
Discrete mathematics,Combinatorics,Vertex (geometry),Hamiltonian (quantum mechanics),Hamiltonian path,Directed graph,Circulant matrix,Mathematics,Digraph
Journal
Volume
Issue
ISSN
309
17
Discrete Mathematics
Citations 
PageRank 
References 
1
0.36
1
Authors
3
Name
Order
Citations
PageRank
Dave Witte Morris1205.42
Joy Morris27816.06
Kerri Webb381.58