Feb 6, 2010 · We show a construction that gives an infinite family of claw-free graphs of connectivity κ = 2 , 3 , 4 , 5 with complete closure and without ...
We show a construction that gives an infinite family of claw-free graphs of connectivity @k=2,3,4,5 with complete closure and without a cycle of a given ...
We consider finite simple undirected graphs G = (V (G),E(G) and for concepts and notations not defined here we refer to [4]. Specifically, for x, y ∈ V (G) ...
We show a construction that gives an infinite family of claw-free graphs of con- nectivity = 2,3,4,5 with complete closure and without a cycle of a given ...
Jun 6, 2001 · We study some properties of the closure concept in claw-free graphs that was introduced by the first author.
In Section 3 we use these results to prove that every claw-free graph G with complete closure has a cycle of length nG − 1. 2. Closure and clique cutsets.
On cycle lengths in claw-free graphs with complete closure · Z. RyjáčekZ. SkupienP. Vrána. Mathematics. Discrete Mathematics. 2010. 4 Citations · Highly ...
Abstract. In this paper we study cycle coverings and 2-factors of a claw-free graph and those of its closure, which has been de ned by the rst author (On a ...
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We show several structural properties of claw-free graphs with complete closure ... with complete closure has a cycle of length nG. 1 ... Let G be a claw-free graph ...
From the following theorem we can see that there is a close relationship between dominating eulerian subgraphs in G and hamilton cycles in its line graph L(G).