Title
On k-graceful, locally finite graphs
Abstract
While a finite, bipartite graph G can be k-graceful for every k ≥ 1, a finite nonbipartite G can be k-graceful for only finitely many values of k. An improved bound on such possible values of k is presented. Definitions are extended to infinite graphs, and it is shown that if G is locally finite and vertex set V(G) and edge set E(G) are countably infinite, then for each k ≥ 1 the graph G has a k-graceful numbering h mapping V(G) onto the set of nonnegative integers.
Year
DOI
Venue
1983
10.1016/0095-8956(83)90058-8
Journal of Combinatorial Theory, Series B
Field
DocType
Volume
Integer,Numbering,Discrete mathematics,Graph,Combinatorics,Countable set,Bound graph,Vertex (geometry),Bipartite graph,Mathematics
Journal
35
Issue
ISSN
Citations 
3
0095-8956
2
PageRank 
References 
Authors
0.65
1
1
Name
Order
Citations
PageRank
Peter J. Slater1593132.02