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Forbidden subgraphs and Hamiltonian properties of graphs

โœ Scribed by Ronald J. Gould; Michael S. Jacobson


Book ID
107748423
Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
344 KB
Volume
42
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


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Beineke and Robertson independently characterized line graphs in terms of nine forbidden induced subgraphs. In 1994, S8 olte s gave another characterization, which reduces the number of forbidden induced subgraphs to seven, with only five exceptional cases. A graph is said to be a dumbbell if it con

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## Abstract It is proven that if __G__ is a 3โ€connected clawโ€free graph which is also __H__~1~โ€free (where __H__~1~ consists of two disjoint triangles connected by an edge), then __G__ is hamiltonianโ€connected. Also, examples will be described that determine a finite family of graphs ${\cal L}$ suc