We give constructions of color-critical graphs and hypergraphs with no cycles of length 5 or shorter and with relatively few edges.
Colour-critical graphs with few edges
β Scribed by A.V. Kostochka; M. Stiebitz
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 569 KB
- Volume
- 191
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
On graphs critical with respect to edge-colourings, Discrete Math. 37 (1981) 289-296. The error occurs in the proof of Case 2 of Theorem 5 (p. 294). We now revise the proof for Case 1 (p. 293) and Case 2 (p. 294) as follows: Case 1: jI # p. In this case, the terminal vertex of the (1, p)-chain with
An edge of a graph is called critical, if deleting it the stability number of the graph increases, and a nonedge is called co-critical, if adding it to the graph the size of the maximum clique increases. We prove in this paper, that the minimal imperfect graphs containing certain configurations of t