Dense Arbitrarily Partitionable Graphs

A graph G of order n is called arbitrarily partitionable (AP for short) if, for every sequence (n1, . . . , nk) of positive integers with n1 + ⋯ + nk = n, there exists a partition (V1, . . . , Vk) of the vertex set V (G) such that Vi induces a connected subgraph of order ni for i = 1, . . . , k. In...

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Bibliographic Details
Main Authors: Kalinowski Rafał, Pilśniak Monika, Schiermeyer Ingo, Woźniak Mariusz
Format: Article
Language:English
Published: Sciendo 2016-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1833