GRAPHS EDGE-CRITICAL WITH RESPECT TO INDEPENDENCE NUMBER
β Scribed by Michael M. Krieger
- Book ID
- 114879188
- Publisher
- John Wiley and Sons
- Year
- 1970
- Tongue
- English
- Weight
- 224 KB
- Volume
- 175
- Category
- Article
- ISSN
- 0890-6564
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
A graph G with maximum degree and edge chromatic number (G)> is edge--critical if (G -e) = for every edge e of G. It is proved here that the vertex independence number of an edge--critical graph of order n is less than 3 5 n. For large , this improves on the best bound previously known, which was ro
For k 3 0, pk(G) den ot e s the Lick-White vertex partition number of G. A graph G is called (n, k)-critical 'f 't I I is connected and for each edge e of G Pk (G -e) < pk (G) = n. We describe all (2, k&critical graphs and for n 23, k 2 1 we extend and simplify a result of Bollobas and Harary giving
The graphs with exactly one, two or three independent edges are determined.