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Rectangle-Visibility Representation of Products of Graphs


Rectangle-Visibility Representation of Products of Graphs


1. Auflage

von: Valentina Ocloo

15,99 €

Verlag: Grin Verlag
Format: PDF
Veröffentl.: 15.01.2018
ISBN/EAN: 9783668612228
Sprache: englisch
Anzahl Seiten: 37

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Beschreibungen

Thesis (M.A.) from the year 2017 in the subject Mathematics - Applied Mathematics, grade: 80.0, Kwame Nkrumah University of Science and Technology (AIMS-GH), course: M.Sc Mathematical Sciences, language: English, abstract: Visibility representation of a graph is a way of assigning the vertices of a graph to objects in a plane and the edges of the graph representing the positioning of the objects in such a way that they see one another. In this work, we consider representations of products of some classes of graphs as rectangle-visibility graphs (RVGs), i.e, graphs whose vertices are rectangles in the plane and edges are horizontal or vertical visibility. We focus on three types of graph products namely: cartesian, direct and strong products. We also investigate representations of products of some classes of graphs such as path, cycle with path, star with path and complete graphs that are RVGs. Furthermore, we discuss why some complete graphs are not RVGs. The results obtained are established by constructive proofs and yield linear-time layout.

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