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» Matchings in colored bipartite networks
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DAM
2002
135views more  DAM 2002»
13 years 4 months ago
Matchings in colored bipartite networks
In K(n, n) with edges colored either red or blue, we show that the problem of finding a solution matching, a perfect matching consisting of exactly r red edges, and (n - r) blue e...
Tongnyoul Yi, Katta G. Murty, Cosimo Spera
ISAAC
2005
Springer
127views Algorithms» more  ISAAC 2005»
13 years 10 months ago
On Complexity and Approximability of the Labeled Maximum/Perfect Matching Problems
In this paper, we deal with both the complexity and the approximability of the labeled perfect matching problem in bipartite graphs. Given a simple graph G = (V, E) with n vertices...
Jérôme Monnot
ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
13 years 10 months ago
Weighted Coloring on Planar, Bipartite and Split Graphs: Complexity and Improved Approximation
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
Jérôme Monnot, Vangelis Th. Paschos, ...
FOCS
2003
IEEE
13 years 10 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 ...
SODA
2003
ACM
138views Algorithms» more  SODA 2003»
13 years 6 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