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DAM
2006
172views more  DAM 2006»
13 years 7 months ago
A Branch-and-Cut algorithm for graph coloring
In a previous work, we proposed a new integer programming formulation for the graph coloring problem which, to a certain extent, avoids symmetry. We studied the facet structure of...
Isabel Méndez-Díaz, Paula Zabala
ENDM
2006
127views more  ENDM 2006»
13 years 7 months ago
Greedy defining sets in graphs and Latin squares
Greedy algorithm sometimes uses more than (G) colors while coloring a graph G. A greedy defining set is an object to eliminate these extra colors so that the greedy coloring resul...
Manouchehr Zaker
ICITS
2011
12 years 11 months ago
Homogeneous Faults, Colored Edge Graphs, and Cover Free Families
In this paper, we use the concept of colored edge graphs to model homogeneous faults in networks. We then use this model to study the minimum connectivity (and design) requirements...
Yongge Wang, Yvo Desmedt
WAOA
2004
Springer
141views Algorithms» more  WAOA 2004»
14 years 24 days ago
Strong Colorings of Hypergraphs
Abstract. A strong vertex coloring of a hypergraph assigns distinct colors to vertices that are contained in a common hyperedge. This captures many previously studied graph colorin...
Geir Agnarsson, Magnús M. Halldórsso...
COMBINATORICA
2010
13 years 4 months ago
Online vertex-coloring games in random graphs
Consider the following one-player game. The vertices of a random graph on n vertices are revealed to the player one by one. In each step, also all edges connecting the newly reveal...
Martin Marciniszyn, Reto Spöhel