SIAM Journal on Computing
An introduction to parallel algorithms
An introduction to parallel algorithms
Synthesis of Parallel Algorithms
Synthesis of Parallel Algorithms
WG '93 Proceedings of the 19th International Workshop on Graph-Theoretic Concepts in Computer Science
Algorithms and characterizations of special graphs in the chordal hierarchy
Algorithms and characterizations of special graphs in the chordal hierarchy
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The class of doubly chordal graphs, which is a subclass of chordal graphs and a superclass of strongly chordal graphs, arises in many application areas. Many NP-complete optimization problems on chordal graphs like domination and Steiner tree can be solved in polynomial time on doubly chordal graphs using doubly perfect elimination ordering of vertices. In this paper, we show that the computation of a doubly perfect elimination ordering in a doubly chordal graph with n vertices and m edges can be done in O(log2 n) time using O(n + m) processors on the CRCW PRAM model.