Clique immersions in graphs of independence number two with certain forbidden subgraphs

Fecha

2021

Profesor Guía

Formato del documento

Articulo

ORCID Autor

Título de la revista

ISSN de la revista

Título del volumen

Editor

Elsevier

Ubicación

ISBN

ISSN

item.page.issne

Facultad

Facultad de Ingeniería

Departamento o Escuela

Instituto de Ingenieria Matematica

Determinador

Recolector

Especie

Nota general

No disponible para descarga

Resumen

The Lescure–Meyniel conjecture is the analogue of Hadwiger’s conjecture for the immersion order. It states that every graph contains the complete graph as an immersion, and like its minor-order counterpart it is open even for graphs with independence number 2. We show that every graph with independence number and no hole of length between 4 and satisfies this conjecture. In particular, every -free graph with satisfies the Lescure–Meyniel conjecture. We give another generalisation of this corollary, as follows. Let and be graphs with independence number at most 2, such that . If is -free, then satisfies the Lescure–Meyniel conjecture.

Descripción

Lugar de Publicación

Auspiciador

Palabras clave

GRAPH IMMERSION, INDEPENDENCE NUMBER, FORBIDDEN SUBGRAPHS, CHROMATIC NUMBER, HADWIGER’S CONJECTURE, CLIQUE

Licencia

URL Licencia