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» Balanced coloring of bipartite graphs
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JAL
2006
101views more  JAL 2006»
14 years 11 months ago
Semi-matchings for bipartite graphs and load balancing
We consider the problem of fairly matching the left-hand vertices of a bipartite graph to the right-hand vertices. We refer to this problem as the optimal semimatching problem; it...
Nicholas J. A. Harvey, Richard E. Ladner, Lá...
JCT
2002
93views more  JCT 2002»
14 years 11 months ago
Coloring Locally Bipartite Graphs on Surfaces
It is proved that there is a function f : N N such that the following holds. Let G be a graph embedded in a surface of Euler genus g with all faces of even size and with edge-wid...
Bojan Mohar, Paul D. Seymour
SODA
2003
ACM
138views Algorithms» more  SODA 2003»
15 years 1 months ago
Multirate rearrangeable clos networks and a generalized edge coloring problem on bipartite graphs
Chung and Ross (SIAM J. Comput., 20, 1991) conjectured that the minimum number m(n, r) of middle-state switches for the symmetric 3-stage Clos network C(n, m(n, r), r) to be rearr...
Hung Q. Ngo, Van H. Vu
COMBINATORICS
2002
93views more  COMBINATORICS 2002»
14 years 11 months ago
On a Theorem of Erdos, Rubin, and Taylor on Choosability of Complete Bipartite Graphs
Erdos, Rubin, and Taylor found a nice correspondence between the minimum order of a complete bipartite graph that is not r-choosable and the minimum number of edges in an r-unifor...
Alexandr V. Kostochka
FOCS
2003
IEEE
15 years 5 months ago
Switch Scheduling via Randomized Edge Coloring
The essence of an Internet router is an n ¡ n switch which routes packets from input to output ports. Such a switch can be viewed as a bipartite graph with the input and output p...
Gagan Aggarwal, Rajeev Motwani, Devavrat Shah, An ...