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» Matchings in colored bipartite networks
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DAM
2002
135views more  DAM 2002»
15 years 6 days 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»
15 years 5 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»
15 years 5 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
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 ...
115
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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