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» On the First-Fit Chromatic Number of Graphs
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SIAMDM
2008
148views more  SIAMDM 2008»
13 years 7 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...
DAM
2011
13 years 2 months ago
A study of 3-arc graphs
An arc of a graph is an oriented edge and a 3-arc is a 4-tuple (v, u, x, y) of vertices such that both (v, u, x) and (u, x, y) are paths of length two. The 3-arc graph of a graph ...
Martin Knor, Guangjun Xu, Sanming Zhou
IPL
2007
94views more  IPL 2007»
13 years 7 months ago
A note on the Hadwiger number of circular arc graphs
Abstract. The intention of this note is to motivate the researchers to study Hadwiger’s conjecture for circular arc graphs. Let η(G) denote the largest clique minor of a graph G...
N. S. Narayanaswamy, Naveen Belkale, L. Sunil Chan...
DM
2008
69views more  DM 2008»
13 years 7 months ago
Connectedness of the graph of vertex-colourings
For a positive integer k and a graph G, the k-colour graph of G, Ck(G), is the graph that has the proper k-vertex-colourings of G as its vertex set, and two k-colourings are joine...
Luis Cereceda, Jan van den Heuvel, Matthew Johnson
ISAAC
2005
Springer
110views Algorithms» more  ISAAC 2005»
14 years 1 months ago
Minimum Entropy Coloring
Abstract We study an information-theoretic variant of the graph coloring problem in which the objective function to minimize is the entropy of the coloring. The minimum entropy of ...
Jean Cardinal, Samuel Fiorini, Gwenaël Joret