Partitioning Harary graphs into connected subgraphs containing prescribed vertices

A graph G is arbitrarily partitionable (AP for short) if for every partition (n_1, n_2, ..., n_p) of |V(G)| there exists a partition (V_1, V_2, ..., V_p) of V(G) such that each V_i induces a connected subgraph of G with order n_i. If, additionally, k of these subgraphs (k <= p) each contains an a...

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Bibliographic Details
Main Authors: Olivier Baudon, Julien Bensmail, Eric Sopena
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2014-12-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/641/pdf