Collapsible Graphs and Hamiltonicity of Line Graphs
β Scribed by Weihua Yang, Hong-Jian Lai, Hao Li, Xiaofeng Guo
- Book ID
- 120788819
- Publisher
- Springer Japan
- Year
- 2013
- Tongue
- English
- Weight
- 173 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0911-0119
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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
## Abstract The topological approach to the study of infinite graphs of Diestel and KΓhn has enabled several results on Hamilton cycles in finite graphs to be extended to locally finite graphs. We consider the result that the line graph of a finite 4βedgeβconnected graph is hamiltonian. We prove a
## Abstract A graph __G__ is __collapsible__ if for every even subset __R__ β __V__(__G__), there is a spanning connected subgraph of __G__ whose set of odd degree vertices is __R__. A graph is __reduced__ if it does not have nontrivial collapsible subgraphs. Collapsible and reduced graphs are defi