A simpler proof for vertex-pancyclicity of squares of connected claw-free graphs
β Scribed by Alexandru I. Tomescu
- Book ID
- 113567664
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 195 KB
- Volume
- 312
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
We prove the conjecture of Gould and Jacobson that a connected S(K1,J free graph has a vertex pancyclic square. Since .S(K1,J is not vertex pancyclic, this result is best possible. ## Our notation generally follows that used in [l] . A graph G is Hamilroniun if it contains a cycle through all its
## Abstract Let ${\cal{F}}\_{k}$ be the family of graphs __G__ such that all sufficiently large __k__ βconnected clawβfree graphs which contain no induced copies of __G__ are subpancyclic. We show that for every __k__β₯3 the family ${\cal{F}}\_{1}k$ is infinite and make the first step toward the c