We prove that for every proper minor-closed class I of graphs there exists a constant c such that for every integer n the class I includes at most n ! c(n) graphs with vertex-set (1,2,...,n). This answers a question of Welsh. (c) 2006 Robin Thomas. Published by Elsevier Inc. All rights reserved.
Proper minor-closed families are small / Serguei, Norine; Paul, Seymour; R., Thomas; Wollan, PAUL JOSEPH. - In: JOURNAL OF COMBINATORIAL THEORY. - ISSN 0095-8956. - 96:5(2006), pp. 754-757. [10.1016/j.jctb.2006.01.006]
Proper minor-closed families are small
WOLLAN, PAUL JOSEPH
2006
Abstract
We prove that for every proper minor-closed class I of graphs there exists a constant c such that for every integer n the class I includes at most n ! c(n) graphs with vertex-set (1,2,...,n). This answers a question of Welsh. (c) 2006 Robin Thomas. Published by Elsevier Inc. All rights reserved.File allegati a questo prodotto
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