research unit 1

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Type of publication:Inproceedings
Entered by:
TitleGenerating and Radiocoloring Families of Perfect Graphs
Bibtex cite IDRACTI-RU1-2005-40
Booktitle 4th International Workshop on Efficient and Experimental Algorithms (WEA 2005)
Series Lecture Notes in Computer Science
Year published 2005
Month May
Volume 3503/2005
Pages 302-314
DOI 10.1007/11427186_27
In this work we experimentally study the min order Radiocoloring problem (RCP) on Chordal, Split and Permutation graphs, which are three basic families of perfect graphs. This problem asks to find an assignment using the minimum number of colors to the vertices of a given graph G, so that each pair of vertices which are at distance at most two apart in G have different colors. RCP is an NP-Complete problem on chordal and split graphs [4]. For each of the three families, there are upper bounds or/and approximation algorithms known for minimum number of colors needed to radiocolor such a graph [4,10]. We design and implement radiocoloring heuristics for graphs of above families, which are based on the greedy heuristic. Also, for each one of the above families, we investigate whether there exists graph instances requiring a number of colors in order to be radiocolored, close to the best known upper bound for the family. Towards this goal, we present a number generators that produce graphs of the above families that require either (i) a large number of colors (compared to the best upper bound), in order to be radiocolored, called ldquoextremalrdquo graphs or (ii) a small number of colors, called ldquonon-extremalrdquoinstances. The experimental evaluation showed that random generated graph instances are in the most of the cases ldquonon-extremalrdquo graphs. Also, that greedy like heuristics performs very well in the most of the cases, especially for ldquonon-extremalrdquo graphs.
Andreou, Maria
Papadopoulou, Viki
Spirakis, Paul
Theodorides, B.
Xeros, A.
fulltext.pdf (main file)
Publication ID354