Article ID Journal Published Year Pages File Type
4657536 Journal of Combinatorial Theory, Series B 2007 25 Pages PDF
Abstract

A projective-planar signed graph has no two vertex-disjoint negative circles. We prove that every signed graph with no two vertex-disjoint negative circles and no balancing vertex is obtained by taking a projective-planar signed graph or a copy of −K5 and then taking 1-, 2-, and 3-sums with balanced signed graphs.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics