Forcing large complete (topological) minors in infinite graphs

Maya Stein, José Zamora

Resultado de la investigación: Contribución a una revistaArtículo

2 Citas (Scopus)

Resumen

It is well known that in finite graphs, large complete minors/topological minors can be forced by assuming a large average degree. Our aim is to extend this fact to infinite graphs. For this, we generalize the notion of the relative end degree, which had been previously introduced by the first author for locally finite graphs, and show that large minimum relative degree at the ends and large minimum degree at the vertices imply the existence of large complete (topological) minors in infinite graphs with countably many ends.

Idioma originalInglés
Páginas (desde-hasta)697-707
Número de páginas11
PublicaciónSIAM Journal on Discrete Mathematics
Volumen27
N.º2
DOI
EstadoPublicada - 2013

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