Homogeneous coloured multipartite graphs

Autor: John K. Truss, Deborah C. Lockett
Rok vydání: 2014
Předmět:
Zdroj: European Journal of Combinatorics. 42:217-242
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2014.06.006
Popis: We classify the countable homogeneous coloured multipartite graphs with any finite number of parts. By Fraisse's Theorem this amounts to classifying the families F of pairwise non-embeddable finite coloured multipartite graphs for which the class Forb(F) of multipartite graphs which forbid these is an amalgamation class. We show that once we understand such families F in the quadripartite case, things do not become any more complicated for larger numbers of parts.
Comment: 27 pages
Databáze: OpenAIRE