๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A short proof of a theorem on Hamiltonian graphs

โœ Scribed by Ainouche, A.


Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
219 KB
Volume
22
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.

โœฆ Synopsis


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


๐Ÿ“œ SIMILAR VOLUMES


A short proof of K๏ฟฝnig's matching theore
โœ Rizzi, Romeo ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 43 KB ๐Ÿ‘ 1 views

We give a short proof of the following basic fact in matching theory: in a bipartite graph the maximum size of a matching equals the minimum size of a node cover.

A short proof of Kuratowski's graph plan
โœ Makarychev, Yury ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 64 KB ๐Ÿ‘ 1 views

We present a new short combinatorial proof of the sufficiency part of the well-known Kuratowski's graph planarity criterion. The main steps are to prove that for a minor minimal non-planar graph G and any edge xy: (1) G-x-y does not contain ฮธ-subgraph; (2) G-x-y is homeomorphic to the circle; (3)

A simple proof of Moser's theorem
โœ Zhu, Xuding ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 243 KB ๐Ÿ‘ 1 views

This article gives a simple proof of a result of Moser, which says that, for any rational number r between 2 and 3, there exists a planar graph G whose circular chromatic number is equal to r.

Proof of a conjecture on cycles in a bip
โœ Wang, Hong ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 244 KB ๐Ÿ‘ 1 views

It was conjectured in [Wang, to appear in The Australasian Journal of Combinatorics] that, for each integer k โ‰ฅ 2, there exists . This conjecture is also verified for k = 2, 3 in [Wang, to appear; Wang, manuscript]. In this article, we prove this conjecture to be true if n โ‰ฅ 3k, i.e., M (k) โ‰ค 3k. W

A quick proof of Riemann's mapping theor
โœ H. P. McKean ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 278 KB ๐Ÿ‘ 1 views
A new proof of the Caffarelli-Kohn-Niren
โœ Fanghua Lin ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 220 KB ๐Ÿ‘ 1 views

Here we give a self-contained new proof of the partial regularity theorems for solutions of incompressible Navier-Stokes equations in three spatial dimensions. These results were originally due to Scheffer and Caffarelli, Kohn, and Nirenberg. Our proof is much more direct and simpler.