2-biplacement without fixed points of (p,q)-bipartite graphs

In this paper we consider \(2\)-biplacement without fixed points of paths and \((p,q)\)-bipartite graphs of small size. We give all \((p,q)\)-bipartite graphs \(G\) of size \(q\) for which the set \(\mathcal{S}^{*}(G)\) of all \(2\)-biplacements of \(G\) without fixed points is empty.

Bibliographic Details
Main Author: Beata Orchel
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2005-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol25/2/art/opuscula_math_2517.pdf