𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A short proof and a strengthening of the Whitney 2-isomorphism theorem on graphs

✍ Scribed by A.K Kelmans


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
887 KB
Volume
64
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


A short proof of a theorem on Hamiltonia
✍ Ainouche, A. πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 219 KB πŸ‘ 2 views

In this note, w e give a short proof of a stronger version of the following theorem: Let G be a 2-connected graph of order n such that for any independent set {u, u , w}, then G is hamiltonian. 0 1996 John

A short proof for the Faudree-Schelp the
✍ Cai Xiao-Tao πŸ“‚ Article πŸ“… 1984 πŸ› John Wiley and Sons 🌐 English βš– 87 KB πŸ‘ 1 views

## Abstract In this note a shortened proof is given for the Faudreeβ€”Schelp theorem on path‐connected graphs.

A Short Proof of a Theorem Concerning De
✍ Bing Wei πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 74 KB

proved that if G is a 2-connected graph with n vertices such that d(u)+d(v)+d(w) n+} holds for any triple of independent vertices u, v, and w, then G is hamiltonian, where } is the vertex connectivity of G. In this note, we will give a short proof of the above result.

A characterisation of some 2-connected g
✍ Victor Bryant πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 196 KB

A simple characterisation of cycles and complete graphs highlights their significance in Brooks' theorem. It then shows that an algorithmic proof of that theorem. usually dealt with in two cases. is in fact covered by one of the cases. ## 1. Some 2-connected graphs Throughout this paper G = (V, E)