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SIAMDM
2008
148views more  SIAMDM 2008»
13 years 9 months ago
A New Algorithm for On-line Coloring Bipartite Graphs
We first show that for any bipartite graph H with at most five vertices, there exists an on-line competitive algorithm for the class of H-free bipartite graphs. We then analyze th...
Hajo Broersma, Agostino Capponi, Daniël Paulu...
RSA
2010
98views more  RSA 2010»
13 years 7 months ago
Merging percolation on Zd and classical random graphs: Phase transition
: We study a random graph model which is a superposition of bond percolation on Zd with parameter p, and a classical random graph G(n, c/n). We show that this model, being a homoge...
Tatyana S. Turova, Thomas Vallier
ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
14 years 2 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, ...
IPL
2000
111views more  IPL 2000»
13 years 8 months ago
On the performance of the first-fit coloring algorithm on permutation graphs
In this paper we study the performance of a particular on-line coloring algorithm, the First-Fit or Greedy algorithm, on a class of perfect graphs namely the permutation graphs. W...
Stavros D. Nikolopoulos, Charis Papadopoulos
DAM
2006
116views more  DAM 2006»
13 years 9 months ago
Using graphs for some discrete tomography problems
Given a rectangular array where entries represent the pixels of a digitalized image, we consider the problem of reconstructing an image from the number of occurrences of each colo...
Marie-Christine Costa, Dominique de Werra, Christo...