Title
Decomposing Complete Equipartite Graphs into Closed Trails of Length k
Abstract
Necessary conditions for a simple connected graph G to admit a decomposition into closed trails of length k ≥ 3 are that G is even and its total number of edges is a multiple of k. In this paper we show that these conditions are sufficient in the case when G is the complete equipartite graph having at least three parts, each of the same size.
Year
DOI
Venue
2010
10.1007/s00373-010-0899-8
Graphs and Combinatorics
Keywords
Field
DocType
simple connected graph,total number,complete equipartite graphs,complete equipartite graph,length k,closed trails,necessary condition,graph decomposition · closed trails · equipartite graph,connected graph
Discrete mathematics,Complete graph,Topology,Combinatorics,Line graph,Edge-transitive graph,Graph power,Cycle graph,Graph minor,Windmill graph,Mathematics,Complement graph
Journal
Volume
Issue
ISSN
26
1
1435-5914
Citations 
PageRank 
References 
1
0.36
6
Authors
1
Name
Order
Citations
PageRank
Benjamin R. Smith1275.66