Title
Resolution of indecomposable integral flows on signed graphs.
Abstract
It is well known that each nonnegative integral flow on a graph can be decomposed into a sum of nonnegative graphic circuit flows, which cannot be further decomposed into nonnegative integral sub-flows. This is equivalent to saying that the indecomposable flows on graphs are those graphic circuit flows. Turning from graphs to signed graphs, the indecomposable flows are much richer than those of unsigned graphs. This paper gives a complete description of indecomposable flows on signed graphs from the viewpoint of resolution of singularities by means of double covering graph.
Year
DOI
Venue
2017
10.1016/j.disc.2016.12.013
Discrete Mathematics
Keywords
Field
DocType
Signed graph,Double covering graph,Sesqui-Eulerian signed graph,Prime sesqui-Eulerian signed graph,Sesqui-Eulerian circle-tree,Indecomposable integral flow
Discrete mathematics,Indifference graph,Modular decomposition,Combinatorics,Signed graph,Chordal graph,Graph product,Cograph,Pathwidth,1-planar graph,Mathematics
Journal
Volume
Issue
ISSN
340
6
0012-365X
Citations 
PageRank 
References 
0
0.34
8
Authors
3
Name
Order
Citations
PageRank
Beifang Chen15914.65
Jue Wang200.34
T. Zaslavsky329756.67