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COMBINATORICS
2007
74views more  COMBINATORICS 2007»
13 years 5 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
DM
2010
144views more  DM 2010»
13 years 5 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
SIAMDM
2008
148views more  SIAMDM 2008»
13 years 5 months ago
A New Algorithm for On-line Coloring Bipartite Graphs
We first show that for any bipartite graph H with at most five vertices, there exists an on-line competitive algorithm for the class of H-free bipartite graphs. We then analyze th...
Hajo Broersma, Agostino Capponi, Daniël Paulu...
COLOGNETWENTE
2010
13 years 3 months ago
Interval Total Colorings of Bipartite Graphs
An interval total t coloring of a graph G is a total coloring of with colors 1, such that at least one vertex or edge of is colored by color − G 2, ,t… G , 1, 2, ,i i t= … ,...
Petros A. Petrosyan, Ani Shashikyan, Arman Yu. Tor...
ALGORITHMICA
2004
150views more  ALGORITHMICA 2004»
13 years 5 months ago
Sum Coloring of Bipartite Graphs with Bounded Degree
We consider the Chromatic Sum Problem on bipartite graphs which appears to be much harder than the classical Chromatic Number Problem. We prove that the Chromatic Sum Problem is NP...
Michal Malafiejski, Krzysztof Giaro, Robert Jancze...