## On a Visibility Representation of Graphs
Cobos, F. J. and Dana, J. C. and Hurtado, Ferran and Márquez, Alberto and Mateos, F.
(1996)
Full text not available from this repository. ## AbstractWe 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.
Repository Staff Only: item control page References |