Abstract
We prove a generalisation of Bollobás’ classical result on the asymptotics of the chromatic number of the binomial random graph to the stochastic block model. In addition, by allowing the number of blocks to grow, we determine the chromatic number in the Chung-Lu model. Our approach is based on the estimates for the weighted independence number, where weights are specifically designed to encapsu-late inhomogeneities of the random graph.
Originalsprache | englisch |
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Aufsatznummer | P2.56 |
Fachzeitschrift | Electronic Journal of Combinatorics |
Jahrgang | 30 |
Ausgabenummer | 2 |
DOIs | |
Publikationsstatus | Veröffentlicht - 2023 |
ASJC Scopus subject areas
- Diskrete Mathematik und Kombinatorik
- Theoretische Informatik
- Geometrie und Topologie
- Theoretische Informatik und Mathematik
- Angewandte Mathematik
Fields of Expertise
- Information, Communication & Computing