Title
Minimal Degree and (k, m)-Pancyclic Ordered Graphs
Abstract
Given positive integers k ≤ m ≤ n, a graph G of order n is (k, m)-pancyclic ordered if for any set of k vertices of G and any integer r with m ≤ r ≤ n, there is a cycle of length r encountering the k vertices in a specified order. Minimum degree conditions that imply a graph of sufficiently large order n is (k, m)-pancylic ordered are proved. Examples showing that these constraints are best possible are also provided.
Year
DOI
Venue
2005
10.1007/s00373-005-0604-5
Graphs and Combinatorics
Keywords
Field
DocType
Positive Integer, Minimal Degree, Large Order, Degree Condition, Ordered Graph
Integer,Topology,Graph,Discrete mathematics,Combinatorics,Vertex (geometry),Bound graph,Ordered graph,Comparability,Mathematics
Journal
Volume
Issue
ISSN
21
2
1435-5914
Citations 
PageRank 
References 
1
0.34
4
Authors
4
Name
Order
Citations
PageRank
Ralph J. Faudree155992.90
Ronald J. Gould264194.81
Michael S. Jacobson310.34
Linda M. Lesniak4153.13