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3-Colouring P-t-Free Graphs Without Short Odd Cycles

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Autor(es):
Rojas Anriquez, Alberto ; Stein, Maya
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: ALGORITHMICA; v. N/A, p. 23-pg., 2022-10-17.
Resumo

For any odd t >= 9, we present a polynomial-time algorithm that solves the 3-colouring problem, and finds a 3-colouring if one exists, in Pt-free graphs of odd girth at least t-2. In particular, our algorithm works for (P9, C3, C5)-free graphs, thus making progress towards determining the complexity of 3-colouring in P-t-free graphs, which is open for t >= 8. (AU)

Processo FAPESP: 19/13364-7 - Problemas extremais e estruturais em teoria dos grafos
Beneficiário:Cristina Gomes Fernandes
Modalidade de apoio: Auxílio à Pesquisa - Regular