More Aspects of Arbitrarily Partitionable Graphs

Autor: Bensmail Julien, Li Binlong
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Discussiones Mathematicae Graph Theory, Vol 42, Iss 4, Pp 1237-1261 (2022)
Druh dokumentu: article
ISSN: 2083-5892
DOI: 10.7151/dmgt.2343
Popis: A graph G of order n is arbitrarily partitionable (AP) if, for every sequence (n1, . . ., np) partitioning n, there is a partition (V1, . . ., ,Vp) of V (G) such that G[Vi] is a connected ni-graph for i = 1, . . ., p. The property of being AP is related to other well-known graph notions, such as perfect matchings and Hamiltonian cycles, with which it shares several properties. This work is dedicated to studying two aspects behind AP graphs.
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