Optimization problems in multiple subtree graphs

Danny Hermelin, Dror Rawitz
2011 Discrete Applied Mathematics  
We consider various optimization problems in t-subtree graphs, the intersection graphs of t-subtrees, where a t-subtree is the union of t disjoint subtrees of some tree. This graph class generalizes both the class of chordal graphs and the class of t-interval graphs, a generalization of interval graphs that has recently been studied from a combinatorial optimization point of view. We present approximation algorithms for the Maximum Independent Set, Minimum Coloring, Minimum Vertex Cover,
more » ... Dominating Set, and Maximum Clique problems in t-subtree graphs.
doi:10.1016/j.dam.2010.03.010 fatcat:5ztkkwoibve3dbxfcqkmmg2lji