On the longest path in a recursively partitionable graph

A connected graph \(G\) with order \(n \geq 1\) is said to be recursively arbitrarily partitionable (R-AP for short) if either it is isomorphic to \(K_1\), or for every sequence \((n_1, \ldots , n_p)\) of positive integers summing up to \(n\) there exists a partition \((V_1, \ldots , V_p)\) of \(V(G...

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Bibliographic Details
Main Author: Julien Bensmail
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2013-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol33/4/art/opuscula_math_3334.pdf