Strongly simplicial vertices of powers of trees

For a tree T and an integer k ≥ 1, it is well known that the k-th power T k of T is strongly chordal and hence has a strong elimination ordering of its vertices. In this note we obtain a complete characterization of strongly simplicial vertices of T k , thereby characterizing all strong elimination orderings of the vertices of T k . 2000 MSC: 05C05, 05C12.

• Type: Journal
• Year: 2007
• Where: DM
• Authors: Geir Agnarsson, Magnús M. Halldórsson
• Keywords: DM 2007, K-th Power, Simplicial Vertices, Strong Elimination