We propose a recursive algorithm which works for general graphs and runs in linear time if the input is a claw-free graph and the length of its longest path is ...
Abstract. Finding minimal triangulations of graphs is a well-studied problem with many applications, for instance as first step for efficiently.
We propose a recursive algorithm which works for general graphs and runs in linear time if the input is a claw-free graph and the length of its longest path is ...
Mar 31, 2015 · Decomposition by clique separators consists in repeatedly copying a clique separator into the components it defines; the final set of subgraphs ...
Sep 10, 2024 · Triangulation and Clique Separator Decomposition of Claw-Free Graphs. ... Generalized clique family inequalities for claw-free graphs.
Apr 25, 2024 · Efficiently decomposing, recognizing and triangulating hole-free graphs ... Triangulation and Clique Separator Decomposition of Claw-Free Graphs.
For a connected graph G, Tarjan's decomposition algorithm finds a clique separator decomposition with at most n − 1 atoms in O(nm) time. According to Whitesides ...
We study the complexity of decomposing a graph by means of clique separators. This common algorithmic tool, first introduced by Tarjan, allows one to cut a ...
Mar 29, 2018 · Finally, our main result implies that planar graphs, bounded-treewidth graphs and bounded-degree graphs can be decomposed by clique separators.
In this paper we prove a decomposition theorem for claw-free graphs; we show that they all either belong to a few basic classes or admit certain decompositions.
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