𝔖 Bobbio Scriptorium
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GRAPHS EDGE-CRITICAL WITH RESPECT TO INDEPENDENCE NUMBER

✍ 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

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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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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

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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

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The graphs with exactly one, two or three independent edges are determined.