Title
Covering graphs by cycles
Abstract
Let G be a bridgeless graph with m edges and n vertices. It is proved that the edges of G can be covered by circuits whose total length is at most m + (r/r - 1)(n - 1), where r is the minimum length of an even circuit (of G) of length at least 6 (r = infinity, if there is no such circuit). The proof suggests a polynomial-time algorithm for constructing such a cover.
Year
DOI
Venue
1992
10.1137/0405039
SIAM J. Discrete Math.
Keywords
Field
DocType
covering
Discrete mathematics,Graph algorithms,Graph,Combinatorics,Vertex (geometry),Eulerian path,Time complexity,Electronic circuit,Mathematics
Journal
Volume
Issue
ISSN
5
4
0895-4801
Citations 
PageRank 
References 
16
3.89
7
Authors
1
Name
Order
Citations
PageRank
Genghua Fan141265.22