A note on arbitrarily vertex decomposable graphs

A graph \(G\) of order \(n\) is said to be arbitrarily vertex decomposable if for each sequence \((n_{1},\ldots,n_k)\) of positive integers such that \(n_{1}+\ldots+n_{k}=n\) there exists a partition \((V_{1},\ldots,V_{k})\) of the vertex set of \(G\) such that for each \(i \in \{1,\ldots,k\}\),...

Full description

Bibliographic Details
Main Author: Antoni Marczyk
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2006-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol26/1/art/opuscula_math_2606.pdf