
AbstractA 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.
Statistics and Probability, Projective plane, Applied Statistics, Applied Mathematics, Theoretical Computer Science, Computational Theory and Mathematics, Physical Sciences and Mathematics, Discrete Mathematics and Combinatorics, Signed graph, Mathematics, Regular matroid
Statistics and Probability, Projective plane, Applied Statistics, Applied Mathematics, Theoretical Computer Science, Computational Theory and Mathematics, Physical Sciences and Mathematics, Discrete Mathematics and Combinatorics, Signed graph, Mathematics, Regular matroid
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