## Abstract Let __T__ be the line graph of the unique tree __F__ on 8 vertices with degree sequence (3,3,3,1,1,1,1,1), i.e., __T__ is a chain of three triangles. We show that every 4βconnected {__T__, __K__~1,3~}βfree graph has a hamiltonian cycle. Β© 2005 Wiley Periodicals, Inc. J Graph Theory 49:
Hamiltonicity of 4-connected graphs
β Scribed by Hao Li; Feng Tian; Zhi Xia Xu
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2010
- Tongue
- English
- Weight
- 230 KB
- Volume
- 26
- Category
- Article
- ISSN
- 1439-7617
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