Let Vbe a set of bit strings of length k, i.e., V C {0, l}'. The query graph Q ( V ) is defined as follows: the vertices of Q(V) are the elements of V, and {O,V} is an edge of Q ( V ) if and only if no other W E Vagrees with U in all the positions in which V does. If Vrepresents the set of keys for
Every 4-Connected Line Graph of a Planar Graph is Hamiltonian
β Scribed by Hong-Jian Lai
- Publisher
- Springer Japan
- Year
- 1994
- Tongue
- English
- Weight
- 217 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0911-0119
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π SIMILAR VOLUMES
## Abstract A graph is locally connected if every neighborthood induces a connected subgraph. We show here that every connected, locally connected graph on __p__ β₯ 3 vertices and having no induced __K__~1,3~ is Hamiltonian. Several sufficient conditions for a line graph to be Hamiltonian are obtain
## Abstract In this article, we first show that every 3βedgeβconnected graph with circumference at most 8 is supereulerian, which is then applied to show that a 3βconnected clawβfree graph without __Z__~8~ as an induced subgraph is Hamiltonian, where __Z__~8~ denotes the graph derived from identify