𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hamiltonicity of a type of interchange graphs

✍ Scribed by Xueliang Li; Fuji Zhang


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
338 KB
Volume
51
Category
Article
ISSN
0166-218X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Hamiltonicity of tree-like graphs
✍ Dragan MaruΕ‘ič πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 426 KB

We investigate hamiltonian properties of a class of graphs whose "factor graphs" are trees. Some results for regular and vertex-transitive graphs are also proved.

Hamiltonicity of 4-connected graphs
✍ Hao Li; Feng Tian; Zhi Xia Xu πŸ“‚ Article πŸ“… 2010 πŸ› Institute of Mathematics, Chinese Academy of Scien 🌐 English βš– 230 KB
Hamiltonicity of regular 2-connected gra
✍ Broersma, H. J.; van den Heuvel, J.; Jackson, B.; Veldman, H. J. πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 832 KB

Let G be a k-regular 2-connected graph of order n. Jackson proved that G is hamiltonian if n 5 3k. Zhu and Li showed that the upper bound 3k on n can be relaxed to q k if G is 3-connected and k 2 63. We improve both results by showing that G is hamiltonian if n 5 gk -7 and G does not belong to a res

Neighborhood unions and hamiltonicity of
✍ Ruqun Shen; Feng Tian πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 530 KB

Let G be a graph of order n. In this paper, we prove that if G is a 2-connected graph of order n such that for all u, ve V(G), 2 where dist(u,v) is the distance between u and v in G, then either G is hamiltonian, or G is a spanning subgraph of a graph in one of three families of exceptional graphs.