Over the past decade, many major advances have been made in the field of graph colouring via the probabilistic method. This monograph provides an accessible and unified treatment of these results, using tools such as the Lovasz Local Lemma and Talagrand's concentration inequality.The topics covered
โฆ LIBER โฆ
Graph Colouring and the Probabilistic Methodby Michael Molloy; Bruce Reed
โ Scribed by Review by: Noga Alon
- Book ID
- 124946171
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2003
- Tongue
- English
- Weight
- 357 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0036-1445
- DOI
- 10.2307/25054375
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We show that the strong chromatic index of a graph with maximum degree 2 is at most (2&=) 2 2 , for some =>0. This answers a question of Erdo s and Nes etr il. 1997 Academic Press ## 1. Introduction A strong edge-colouring of a (simple) graph, G, is a proper edge-colouring of G with the added res