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14302 On hamiltonicity of P₃-dominated graphs

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Broersma, H.J. and Vumar, E. (2009) On hamiltonicity of P₃-dominated graphs Mathematical Methods of Operations Research, 69 (2). pp. 297-306. ISSN 1432-2994 *** ISI Impact 0,522 ***

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Official URL: http://dx.doi.org/10.1007/s00186-008-0260-7

Abstract

We introduce a new class of graphs which we call $P_3$ -dominated graphs. This class properly contains all quasi-claw-free graphs, and hence all claw-free graphs. Let $G$ be a 2-connected $P_3$ -dominated graph. We prove that $G$ is hamiltonian if $\alpha(G^2)\le \kappa(G)$ , with two exceptions: $K_{2,3}$ and $K_{1,1,3}$ . We also prove that $G$ is hamiltonian, if $G$ is 3-connected and $|V(G)| \le 5\delta(G) - 5$ . These results extend known results on (quasi-)claw-free graphs.

Item Type:	Article
Research Group:	EWI-DMMP: Discrete Mathematics and Mathematical Programming
Research Program:	CTIT-IE&ICT: Industrial Engineering and ICT
ID Code:	14302
Status:	Published
Deposited On:	28 August 2009
Refereed:	Yes
International:	Yes
ISI Impact Factor:	0,522
More Information:	statistics metis

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