Independent transversals in r-partite graphs

  title={Independent transversals in r-partite graphs},
  author={Raphael Yuster},
  journal={Discrete Mathematics},
Let G(r, n) denote the set of all r-partite graphs consisting of n vertices in each partite class. An independent transversal of G ∈ G(r, n) is an independent set consisting of exactly one vertex from each vertex class. Let ∆(r, n) be the maximal integer such that every G ∈ G(r, n) with maximal degree less than ∆(r, n) contains an independent transversal. Let Cr = limn→∞ ∆(r,n) n . We establish the following upper and lower bounds on Cr, provided r > 2: 2blog rc−1 2blog rc − 1 ≥ Cr ≥ max{ 1 2e… CONTINUE READING
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Publications referenced by this paper.
Showing 1-6 of 6 references

On complete subgraphs of r-chromatic graphs

Discrete Mathematics • 1975
View 7 Excerpts
Highly Influenced

The Probabilistic Method

SODA • 1992
View 2 Excerpts

The String Chromatic Number of a Graph

Random Struct. Algorithms • 1992
View 1 Excerpt

An Algorithmic Approach to the Lovász Local Lemma. I

Random Struct. Algorithms • 1991
View 1 Excerpt

Extremal Graph Theory

B. Bollobás
View 2 Excerpts

Graphs and matching theorems

O. Ore
Duke Math. Journal 22 • 1955
View 1 Excerpt

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