Gujgiczer, Anna and Simonyi, Gábor (2024) Critical Subgraphs of Schrijver Graphs for the Fractional Chromatic Number. GRAPHS AND COMBINATORICS, 40. No.-64. ISSN 0911-0119 (print); 1435-5914 (online)
|
Text
s00373-024-02782-9.pdf Available under License Creative Commons Attribution. Download (404kB) | Preview |
Official URL: https://doi.org/10.1007/s00373-024-02782-9
Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Schrijver graphs, Fractional coloring, Graph homomorphism, Circular complete graphs |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA166-QA166.245 Graphs theory / gráfelmélet |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 30 May 2024 13:02 |
| Last Modified: | 30 May 2024 13:02 |
| URI: | https://real.mtak.hu/id/eprint/196179 |
Actions (login required)
 |
Edit Item |
