We disprove the following conjecture: Let G be a 2-connected graph with minimum degree n on atmost 3n -2 vertices. Then G is hamiltonian if it has a 2-factor.
A counterexample to a conjecture on order statistics
โ Scribed by Luning Li
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 109 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The Saint Venant's conjecture for convex plane domains f~, having symmetry about two orthogonal axes, is that the maximum of [Vu[ occurs only at the points on df~ which are nearest to the origin. G. Sweers constructed one such domain f~ and claimed that either the conjecture fails for f~ or for f~ =
A pair of vertices (x, y) of a graph G is an ฯ-critical pair if ฯ(G + xy) > ฯ(G), where G + xy denotes the graph obtained by adding the edge xy to G and ฯ(H) is the clique number of H. The ฯ-critical pairs are never edges in G. A maximal stable set S of G is called a forced color class of G if S mee