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On graphs critical with respect to edge-colourings

✍ Scribed by Hian Poh Yap


Book ID
107748379
Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
698 KB
Volume
37
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Corrigendum to: on graphs critical with
✍ H.P. Yap πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 37 KB

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

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✍ Alexandr V. Kostochka; Douglas R. Woodall πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 94 KB

A colouring of the vertices of a hypergraph G is called strong if, for every edge A, the colours of all vertices in A are distinct. It corresponds to a colouring of the generated graph (G) obtained from G by replacing every edge by a clique. We estimate the minimum number of edges possible in a k-cr

On graphs critical with respect to verte
✍ Peter MihΓ³k πŸ“‚ Article πŸ“… 1981 πŸ› Elsevier Science 🌐 English βš– 362 KB

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

On edge-colouring indifference graphs
✍ Celina M.H. de Figueiredo; JoΓ£o Meidanis; CΓ©lia Picinin de Mello πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 1020 KB
Definitions of criticality with respect
✍ A. J. W. Helton πŸ“‚ Article πŸ“… 1977 πŸ› John Wiley and Sons 🌐 English βš– 310 KB

## Abstract Here we examine six definitions of criticality concerning the chromatic index (edge chromatic number) of a simple graph. Five of these turn out to be almost always almost equivalent. Some problems arise and some conjectures are posed.