Critical Subgraphs of Schrijver Graphs for the Fractional Chromatic Number

被引：0
|
作者：
Gujgiczer, Anna [1 ,2 ]
Simonyi, Gabor [1 ,3 ]
机构：
[1] Budapest Univ Technol & Econ, Fac Elect Engn & Informat, Dept Comp Sci & Informat Theory, Budapest, Hungary
[2] MTA BME Lendulet Arithmet Combinator Res Grp, Budapest, Hungary
[3] HUN REN Alfred Reny Inst Math, Budapest, Hungary
来源：
GRAPHS AND COMBINATORICS | 2024年 / 40卷 / 03期
关键词：
Schrijver graphs; Fractional coloring; Graph homomorphism; Circular complete graphs; EDGE-CRITICAL SUBGRAPHS;
D O I：
10.1007/s00373-024-02782-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Schrijver graphs are vertex-color-critical subgraphs of Kneser graphs having the same chromatic number. They also share the value of their fractional chromatic number but Schrijver graphs are not critical for that. Here we present an induced subgraph of every Schrijver graph that is vertex-critical with respect to the fractional chromatic number. These subgraphs turn out to be isomorphic with certain circular complete graphs. We also characterize the critical edges within this subgraph.
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页数：17
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