FORCING LARGE COMPLETE (TOPOLOGICAL) MINORS IN INFINITE GRAPHS∗
Author
dc.contributor.author
Stein, Maya
Author
dc.contributor.author
Zamora, José
es_CL
Admission date
dc.date.accessioned
2014-01-24T18:30:58Z
Available date
dc.date.available
2014-01-24T18:30:58Z
Publication date
dc.date.issued
2013
Cita de ítem
dc.identifier.citation
SIAM J. DISCRETE MATH.
en_US
Identifier
dc.identifier.other
DOI. 10.1137/100819722
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/126282
General note
dc.description
Artículo de publicación ISI.
en_US
Abstract
dc.description.abstract
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