Hamiltonian line graphs
β Scribed by Richard A. Brualdi; Robert F. Shanny
- Publisher
- John Wiley and Sons
- Year
- 1981
- Tongue
- English
- Weight
- 358 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
Sufficient conditions on the degrees of a graph are given in order that its line graph have a hamiltonian cycle.
π SIMILAR VOLUMES
Using the contraction method, we find a best possible condition involving the minimum degree for a triangle-free graph to have a spanning eulerian subgraph.
It is shown that, if t is an integer !3 and not equal to 7 or 8, then there is a unique maximal graph having the path P t as a star complement for the eigenvalue Γ2: The maximal graph is the line graph of K m,m if t ΒΌ 2mΓ1, and of K m,m ΓΎ1 if t ΒΌ 2m. This result yields a characterization of L(G ) wh
## Abstract In this paper, we show that if __G__ is a 3βedgeβconnected graph with $S \subseteq V(G)$ and $|S| \le 12$, then either __G__ has an Eulerian subgraph __H__ such that $S \subseteq V(H)$, or __G__ can be contracted to the Petersen graph in such a way that the preimage of each vertex of th
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Thomassen conjectured that every 4-connected line graph is hamiltonian. Here we shall see that 4-connected line graphs of claw free graphs are hamiltonian connected.