Minimal Elimination Ordering Inside a Given Chordal Graph

Dahlhaus, Elias (1997) Minimal Elimination Ordering Inside a Given Chordal Graph.
Published In: Graph-theoretic concepts in computer science : 23th international workshop, WG '97, Berlin, Germany, June 18 - 20, 1997 ; proceedings, Lecture notes in computer science. 1335 Springer 1997, pp. 132-143.


We consider the following problem, called Relative Minimal Elimination Ordering. Given a graph G=(V,E) which is a subgraph of the chordal graph G'=(V,E'), compute an inclusion minimal chordal graph G''=(V,E''), such that E subseteq E'' subseteq E'. We show that this can be done in O(nm) time. This extends the results of Telle. The algorithm is based only on well known results on chordal graphs. This is an extended version of the paper published in WG 97.

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