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On a visibility representation of graphs


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Author: Cobos Gavala, Javier
Dana Jiménez, Juan Carlos
Hurtado, Ferrán
Márquez Pérez, Alberto
Mateos Mateos, Felipe
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Date: 1996
Published in: Graph Drawing, 1027, 152-161.
Document type: Article
Abstract: We give a visibility representation of graphs which extends some very well-known representations considered extensively in the literature. Concretely, the vertices are represented by a collection of parallel hyper-rectangles in R n and the visibility is orthogonal to those hyper-rectangles. With this generalization, we can prove that each graph admits a visibility representation. But, it arises the problem of determining the minimum Euclidean space where such representation is possible. We consider this problem for concrete well-known families of graphs such as planar graphs, complete graphs and complete bipartite graphs.
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