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On the partition dimension of trees

✍ Scribed by Rodríguez-Velázquez, Juan A.; González Yero, Ismael; Lemańska, Magdalena


Book ID
122111395
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
483 KB
Volume
166
Category
Article
ISSN
0166-218X

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A graph G admits a tree-partition of width k if its vertex set can be partitioned into sets of size at most k so that the graph obtained by identifying the vertices in each set of the partition, and then deleting loops and parallel edges, is a forest. In the paper, we characterize the classes of gra