首页|Edge-critical subgraphs of Schrijver graphs II: The general case

Edge-critical subgraphs of Schrijver graphs II: The general case

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We give a simple combinatorial description of an (n - 2k + 2)-chromatic edge-critical subgraph of the Schrijver graph SG(n, k), itself an induced vertex-critical subgraph of the Kneser graph KG(n, k). This extends the main result of Kaiser and Stehlik (2020) [5] to all values of k, and sharpens the classical results of Lovasz and Schrijver from the 1970s. (c) 2021 Elsevier Inc. All rights reserved.

Kneser graphSchrijver graphGraph colouringEdge-critical graph

Kaiser, Tomas、Stehlik, Matej

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Univ West Bohemia

Univ Grenoble Alpes

2022

Journal of Combinatorial Theory

Journal of Combinatorial Theory

ISSN:0095-8956
年,卷(期):2022.152
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