A Fully Dynamic Algorithm for Recognizing and Representing Chordal Graphs

摘要

This paper considers the problem of recognition and representation of dynamically changing chordal graphs. The input to the problem consists of a series of modifications to be performed on a graph, where modifications can be additions or deletions of complete r-vertex graphs. The purpose is to maintain a representation of the graph as long as it remains a chordal graph and to detect when it ceases to be so.