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The robust coloring problem

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Yáñez, Javier and Ramírez, J. (2003) The robust coloring problem. European journal of operational research, 148 (3). pp. 546-558. ISSN 0377-2217

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Official URL: http://www.sciencedirect.com/science/article/pii/S0377221702003624


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Abstract

Some problems can be modeled as graph coloring ones for which the criterion of minimizing the number of used colors is replaced by another criterion maintaining the number of colors as a constraint. Some examples of these problem types are introduced; it would be the case, for instance, of the problem of scheduling the courses at a university with a fixed number of time slots-the colors-and with the objective of minimizing the probability to include an edge to the graph with its endpoints equally colored. Based on this example, the new coloring problem introduced in this paper will be denoted as the Robust coloring problem, RCP for short. It is proved that this optimization problem is NP-hard and, consequently, only small-size problems could be solved with exact algorithms based on mathematical programming models; otherwise, for large size problems, some heuristics are needed in order to obtain appropriate solutions. A genetic algorithm which solves the RCP is outlined.


Item Type:Article
Uncontrolled Keywords:Graph theory; graph coloring; timetabling
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:20154
Deposited On:27 Feb 2013 10:29
Last Modified:10 Sep 2018 16:25

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