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» On Balanced Graphs
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90
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DM
2010
144views more  DM 2010»
14 years 10 months ago
Balanced Cayley graphs and balanced planar graphs
A balanced graph is a bipartite graph with no induced circuit of length 2 (mod 4). These graphs arise in linear programming. We focus on graph-algebraic properties of balanced gra...
Joy Morris, Pablo Spiga, Kerri Webb
93
Voted
IPL
2010
158views more  IPL 2010»
14 years 7 months ago
Finding bipartite subgraphs efficiently
Polynomial algorithms are given for the following two problems:
Dhruv Mubayi, György Turán
106
Voted
ISPAN
2008
IEEE
15 years 4 months ago
Product Line Sigraphs
Intuitively, a signed graph is a graph in which every edge is labeled with a + or − sign. For each edge, its sign represents the mode of the relationship between the vertices it...
Daniela Ferrero
63
Voted
COMBINATORICS
2007
74views more  COMBINATORICS 2007»
14 years 10 months ago
Regular Spanning Subgraphs of Bipartite Graphs of High Minimum Degree
Let G be a simple balanced bipartite graph on 2n vertices, δ = δ(G)/n, and ρ0 = δ+ √ 2δ−1 2 . If δ ≥ 1/2 then G has a ρ0n -regular spanning subgraph. The statement is...
Béla Csaba
JCT
2007
78views more  JCT 2007»
14 years 10 months ago
Projective-planar signed graphs and tangled signed graphs
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...
Daniel C. Slilaty