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- W1988706688 abstract "The Erdős-Lovasz Tihany Conjecture [Theory of Graphs (Proc. Colloq., Tihany, 1966), Academic Press, 1968] states that for any pair of integers s, t ≥ 2 and for any graph G with chromatic number equal to s+ t− 1 and clique number less than s+ t− 1 there are two disjoint subgraphs of G with chromatic number s and t, respectively. The Erdős-Lovasz Tihany Conjecture is still open except for a few small values of s and t. Given the same hypothesis as in the Erdős-Lovasz Tihany Conjecture, we study the problem of finding two disjoint subgraphs of G with complete minors of order s and t, respectively. If Hadwiger’s Conjecture holds, then this latter problem might be easier to settle than the Erdős-Lovasz Tihany Conjecture. In this paper we settle this latter problem for a few small additional values of s and t." @default.
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- W1988706688 date "2011-01-01" @default.
- W1988706688 modified "2023-10-02" @default.
- W1988706688 title "The Erdös-Lovász Tihany conjecture and complete minors" @default.
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- W1988706688 doi "https://doi.org/10.4310/joc.2011.v2.n4.a6" @default.
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