A note on signed degree sets in signed bipartite graphs
نویسندگان
چکیده
منابع مشابه
A Note on Signed Degree Sets in Signed Bipartite Graphs
A signed bipartite graph G(U, V ) is a bipartite graph in which each edge is assigned a positive or a negative sign. The signed degree of a vertex x in G(U, V ) is the number of positive edges incident with x less the number of negative edges incident with x. The set S of distinct signed degrees of the vertices of G(U, V ) is called its signed degree set. In this paper, we prove that every set ...
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A signed bipartite graph G(U, V) is a bipartite graph in which each edge is assigned a positive or a negative sign. The signed degree of a vertex x in G(U, V) is the number of positive edges incident with x less the number of negative edges incident with x. The set S of distinct signed degrees of the vertices of G(U, V) is called its signed degree set. In this paper, we prove that every set of ...
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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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A signed k-partite graph (signed multipartite graph) is a k-partite graph in which each edge is assigned a positive or a negative sign. If G(V1, V2, · · · , Vk) is a signed k-partite graph with Vi = {vi1, vi2, · · · , vini}, 1 ≤ i ≤ k, the signed degree of vij is sdeg(vij) = dij = d + ij − d − ij , where 1 ≤ i ≤ k, 1 ≤ j ≤ ni and d + ij(d − ij) is the number of positive (negative) edges inciden...
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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: Applicable Analysis and Discrete Mathematics
سال: 2008
ISSN: 1452-8630
DOI: 10.2298/aadm0801114p