Maximum Frustration in Bipartite Signed Graphs
نویسندگان
چکیده
منابع مشابه
Maximum Frustration in Bipartite Signed Graphs
A signed graph is a graph where each edge is labeled as either positive or negative. A circle is positive if the product of edge labels is positive. The frustration index is the least number of edges that need to be removed so that every remaining circle is positive. The maximum frustration of a graph is the maximum frustration index over all possible sign labellings. We prove two results about...
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A signed bipartite graph is a bipartite graph in which each edge is assigned a positive or a negative sign. Let G(U, V ) be a signed bipartite graph with U = {u1, u2, · · · , up} and V = {v1, v2, · · · , vq} . Then signed degree of ui is sdeg(ui) = di = d + i − d − i , where 1 ≤ i ≤ p and d+i ( d − i ) is the number of positive(negative) edges incident with ui , and signed degree of vj is sdeg(...
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Thomas Zaslavsky Binghamton University Binghamton, New York, U.S.A. 13902-6000 September 1991 Revised July 1996 Abstra t We hara terize the edge-signed graphs in whi h every \signi ant" positive losed walk (or ombination of walks) has even length, under seven di erent riteria for signi an e, and also those edge-signed graphs whose double overing graph is bipartite. If the property of even lengt...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2012
ISSN: 1077-8926
DOI: 10.37236/2204