Achromatic numbers of Kneser graphs

Autor: Araujo-Pardo, Gabriela, Díaz-Patiño, Juan Carlos, Rubio-Montiel, Christian
Rok vydání: 2020
Předmět:
Zdroj: Ars Mathematica Contemporanea-2021
Druh dokumentu: Working Paper
DOI: 10.26493/1855-3974.2357.373
Popis: Complete colorings have the property that any two color classes has at least an edge between them. Parameters such as the Grundy, achromatic and pseudoachromatic numbers comes from complete colorings, with some additional requirement. In this paper, we estimate these numbers in the Kneser graph $K(n,k)$ for some values of $n$ and $k$. We give the exact value of the achromatic number of $K(n,2)$.
Comment: 15 pages, 8 figures
Databáze: arXiv