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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© 1996 Springer-Verlag Berlin Heidelberg
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Cobos, F.J., Dana, J.C., Hurtado, F., Márquez, A., Mateos, F. (1996). On a visibility representation of graphs. In: Brandenburg, F.J. (eds) Graph Drawing. GD 1995. Lecture Notes in Computer Science, vol 1027. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0021799
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DOI: https://doi.org/10.1007/BFb0021799
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