9783540421399
Graph Colouring And The Probabilistic Method - Michael Molloy, Bruce Reed
Springer (2001)
In Collection
#7222

Read It:
Yes
Combinatorial analysis, Graph coloring, Map-coloring problem

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 include: Kahn's proofs that the Goldberg-Seymour and List Colouring Conjectures hold asymptotically; a proof that for some absolute constant C, every graph of maximum degree Delta has a Delta+C total colouring; Johansson's proof that a triangle free graph has a O(Delta over log Delta) colouring; algorithmic variants of the Local Lemma which permit the efficient construction of many optimal and near-optimal colourings.This begins with a gentle introduction to the probabilistic method and will be useful to researchers and graduate students in graph theory, discrete mathematics, theoretical computer science and probability.

Product Details
Dewey 514.223
Format Hardcover
Cover Price 119,00 €
No. of Pages 240
Height x Width 250 x 155 mm