A $k$-sum Decomposition of Strongly Unimodular Matrices

Details A $k$-sum Decomposition of Strongly Unimodular Matrices A $k$-sum Decomposition of Strongly Unimodular Matrices

2011-03-22

arxiv.org/abs/1103.4258v1

Mathematics

Combinatorics

Scientific paper

We present a new decomposition result for strongly unimodular matrices based
on the fact that they represent regular matroids over the real field.
Specifically, strongly unimodular matrices are shown to be closed under
$k$-sums for $k=1,2$ implying a decomposition into highly connected blocks
which are proved to have a special structure.

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