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» Bounds on the forcing numbers of bipartite graphs
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DM
1999
101views more  DM 1999»
13 years 6 months ago
Characterizations of bipartite Steinhaus graphs
We characterize bipartite Steinhaus graphs in three ways by partitioning them into four classes and we describe the color sets for each of these classes. An interesting recursion ...
Gerard J. Chang, Bhaskar DasGupta, Wayne M. Dym&ag...
SIAMDM
2010
89views more  SIAMDM 2010»
13 years 1 months ago
Routing Numbers of Cycles, Complete Bipartite Graphs, and Hypercubes
The routing number rt(G) of a connected graph G is the minimum integer r so that every permutation of vertices can be routed in r steps by swapping the ends of disjoint edges. In t...
Wei-Tian Li, Linyuan Lu, Yiting Yang
SODA
2008
ACM
93views Algorithms» more  SODA 2008»
13 years 7 months ago
Fast load balancing via bounded best response
It is known that the dynamics of best response in an environment of non-cooperative users may converge to a good solution when users play sequentially, but may cycle far away from...
Baruch Awerbuch, Yossi Azar, Rohit Khandekar
JCT
2006
168views more  JCT 2006»
13 years 6 months ago
Mono-multi bipartite Ramsey numbers, designs, and matrices
Eroh and Oellermann defined BRR(G1, G2) as the smallest N such that any edge coloring of the complete bipartite graph KN,N contains either a monochromatic G1 or a multicolored G2....
Paul N. Balister, András Gyárf&aacut...
JCT
2010
70views more  JCT 2010»
13 years 4 months ago
Graphs with bounded tree-width and large odd-girth are almost bipartite
We prove that for every k and every ε > 0, there exists g such that every graph with tree-width at most k and odd-girth at least g has circular chromatic number at most 2 + ε...
Alexandr V. Kostochka, Daniel Král', Jean-S...