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On hamiltonian line graphs

✍ Scribed by Lane Clark


Publisher
John Wiley and Sons
Year
1984
Tongue
English
Weight
191 KB
Volume
8
Category
Article
ISSN
0364-9024

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πŸ“œ SIMILAR VOLUMES


Hamiltonian line graphs
✍ Richard A. Brualdi; Robert F. Shanny πŸ“‚ Article πŸ“… 1981 πŸ› John Wiley and Sons 🌐 English βš– 358 KB

## Abstract Sufficient conditions on the degrees of a graph are given in order that its line graph have a hamiltonian cycle.

Contractions and hamiltonian line graphs
✍ Hong-Jian Lai πŸ“‚ Article πŸ“… 1988 πŸ› John Wiley and Sons 🌐 English βš– 201 KB

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.

Line graphs of bipartite graphs with Ham
✍ Francis K. Bell πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 115 KB

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 Γ€2: The maximal graph is the line graph of K m,m if t ΒΌ 2mΓ€1, and of K m,m ΓΎ1 if t ΒΌ 2m. This result yields a characterization of L(G ) wh

A result on Hamiltonian line graphs invo
✍ H. J. Veldman πŸ“‚ Article πŸ“… 1988 πŸ› John Wiley and Sons 🌐 English βš– 384 KB

It is shown that the existence of a Hamilton cycle in the line graph of a graph G can be ensured by imposing certain restrictions on certain induced subgraphs of G. Thereby a number of known results on hamiltonian line graphs are improved, including the earliest results in terms of vertex degrees. O

On Hamiltonian-connected regular graphs
✍ Ioan Tomescu πŸ“‚ Article πŸ“… 1983 πŸ› John Wiley and Sons 🌐 English βš– 360 KB

In this paper it is shown that any rn-regular graph of order 2rn (rn 3 3), not isomorphic to K, , , , or of order 2rn + 1 (rn even, rn 3 4), is Hamiltonian connected, which extends a previous result of Nash-Williams. As a corollary, it is derived that any such graph contains at least rn Hamiltonian

Eulerian subgraphs in 3-edge-connected g
✍ Zhi-Hong Chen; Hong-Jian Lai; Xiangwen Li; Deying Li; Jinzhong Mao πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 111 KB

## Abstract In this paper, we show that if __G__ is a 3‐edge‐connected 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