List monopolar partitions of claw-free graphs
β Scribed by Ross Churchley; Jing Huang
- Book ID
- 113567425
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 193 KB
- Volume
- 312
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Let __G__ be a graph and let __V__~0~β=β{Ξ½β __V__(__G__): __d__~__G__~(Ξ½)β=β6}. We show in this paper that: (i) if __G__ is a 6βconnected line graph and if |__V__~0~|ββ€β29 or __G__[__V__~0~] contains at most 5 vertex disjoint __K__~4~'s, then __G__ is Hamiltonβconnected; (ii) every 8βco
It is known that all claw-free perfect graphs can be decomposed via clique-cutsets into two types of indecomposable graphs respectively called elementary and peculiar (1988, V. Chva tal and N. Sbihi, J. Combin. Theory Ser. B 44, 154 176). We show here that every elementary graph is made up in a well