## Abstract Counterexamples are presented to the following two conjectures of Hilton: A graph which does not contain a spanning __K__~1t~ is Vl‐critical if and only if it is VC‐critical. If __G__ is a class‐two graph which contains a spanning Pl‐critical subgraph __H__ of the same chromatic index
✦ LIBER ✦
Counterexamples to two conjectures about distance sequences
✍ Scribed by Mark E. Watkins; James B. Shearer
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 558 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Counterexamples to two conjectures of Hi
✍
S. Fiorini
📂
Article
📅
1978
🏛
John Wiley and Sons
🌐
English
⚖ 122 KB
Counterexamples to randić's conjecture o
✍
Peter J. Slater
📂
Article
📅
1982
🏛
John Wiley and Sons
🌐
English
⚖ 147 KB
## Abstract As counterexamples to a conjecture of Randić, pairs of nonisomorphic trees with the same collections of distance degree sequences are presented.
Counterexamples to a conjecture about bo
✍
Eckhard Steffen
📂
Article
📅
1996
🏛
Elsevier Science
🌐
English
⚖ 47 KB
We follow the terminology and notion of . By a well known theorem of Vizing it follows that the chromatic index z'(G) of a cubic graph G is 3 or 4. If z'(G) = 4 we say that G is non-Tait-colourable. Holroyd and Loupekine [1] defined a bottleneck in a non-Tait-colourable cubic graph G =