Article ID Journal Published Year Pages File Type
1142341 Operations Research Letters 2013 5 Pages PDF
Abstract

In this paper, a representation for chordal graphs called the compact representation, based on the running intersection property, is presented. It provides the means to immediately deduce several structural properties of a chordal graph such as a perfect elimination ordering, the minimal vertex separators and a clique-tree. These properties support an efficient algorithm for the construction of the compact representation. Simple characterizations of some subclasses of chordal graphs can be obtained using this representation.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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