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ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
13 years 11 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, ...
CORR
2006
Springer
80views Education» more  CORR 2006»
13 years 5 months ago
A polynomial-time approximation algorithm for the number of k-matchings in bipartite graphs
We show that the number of k-matching in a given undirected graph G is equal to the number of perfect matching of the corresponding graph Gk on an even number of vertices divided ...
Shmuel Friedland, Daniel Levy
SODA
1998
ACM
157views Algorithms» more  SODA 1998»
13 years 6 months ago
A Polynomial Time Approximation Scheme for Minimum Routing Cost Spanning Trees
Given an undirected graph with nonnegative costs on the edges, the routing cost of any of its spanning trees is the sum over all pairs of vertices of the cost of the path between t...
Bang Ye Wu, Giuseppe Lancia, Vineet Bafna, Kun-Mao...
SODA
2004
ACM
93views Algorithms» more  SODA 2004»
13 years 6 months ago
Bipartite roots of graphs
Graph H is a root of graph G if there exists a positive integer k such that x and y are adjacent in G if and only if their distance in H is at most k. Motwani and Sudan [1994] prov...
Lap Chi Lau
SIAMDM
2000
159views more  SIAMDM 2000»
13 years 5 months ago
Approximating Fractional Multicommodity Flow Independent of the Number of Commodities
Abstract. We describe fully polynomial time approximation schemes for various multicommodity flow problems in graphs with m edges and n vertices. We present the first approximation...
Lisa Fleischer