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25 April 2024
 
  » arxiv » 1701.4494

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Resolution of Indecomposable Integral Flows on Signed Graphs
Beifang Chen ; Jue Wang ; Thomas Zaslavsky ;
Date 17 Jan 2017
AbstractIt 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 graphs.
Source arXiv, 1701.4494
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