Every 3-connected claw-free B_{i;7-i}-free graph is Hamiltonian

In this paper we have proved that every 3-connected K_{1;3}B_{2;5} (or K_{1;3}B_{3;4})-free graph is Hamiltonian.

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Bibliographic Details
Main Authors: Saburov, Khikmat, Saburov, Mansoor
Format: Article
Language:English
Published: Science & Knowledge Publishing Corporation Limited 2012
Subjects:
Online Access:http://irep.iium.edu.my/27978/1/THREE_CONNECTED_CLAW_FREE-JMCS.pdf
http://irep.iium.edu.my/27978/
http://scik.org/index.php/jmcs/article/view/158
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Summary:In this paper we have proved that every 3-connected K_{1;3}B_{2;5} (or K_{1;3}B_{3;4})-free graph is Hamiltonian.