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The fractional chromatic number of triangle-free graphs with

✍ Scribed by Linyuan Lu; Xing Peng


Book ID
118735024
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
498 KB
Volume
312
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


A triangle-free circle graph with chroma
✍ A.A. Ageev πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 170 KB

It follows from the results of , Gyirfis and Lehel (1985), and Kostochka (1988) that 4 ~x\* ## ~5 where x\* = max {X(G): G is a triangle-free circle graph}. We show that X\* ? 5 and thus X\* = 5. This disproves the conjecture of Karapetyan that X\* = 4 and answers negatively a question of Gyirfis

The fractional chromatic number of infin
✍ Imre Leader πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 398 KB πŸ‘ 1 views

## Abstract The fractional chromatic number of a graph __G__ is the infimum of the total weight that can be assigned to the independent sets of __G__ in such a way that, for each vertex __v__ of __G__, the sum of the weights of the independent sets containing __v__ is at least 1. In this note we g

The fractional chromatic number of mycie
✍ Michael Larsen; James Propp; Daniel Ullman πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 236 KB

The most familiar construction of graphs whose clique number is much smaller than their chromatic number is due to Mycielski, who constructed a sequence G, of triangle-free graphs with ,y(G,) = n. In this article, w e calculate the fractional chromatic number of G, and show that this sequence of num