The dimension of the join of two graphs

A graph is of dimension n if it can be drawn in then-dimensional Euclidian space Rn such that the edges are straight line segments of one unit long, but not in some Eucliclean space of lower dimension. A study has been made by Maehara on the dimension of the graph obtained from a complete graph afte...

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Bibliographic Details
Main Authors: Gervacio, Severino V., Jos, Isagani B.
Format: text
Published: Animo Repository 2005
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Online Access:https://animorepository.dlsu.edu.ph/faculty_research/7301
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Institution: De La Salle University
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Summary:A graph is of dimension n if it can be drawn in then-dimensional Euclidian space Rn such that the edges are straight line segments of one unit long, but not in some Eucliclean space of lower dimension. A study has been made by Maehara on the dimension of the graph obtained from a complete graph after removing the edges of a disjoint family of complete subgraphs. This paper investigates the dimension of the join of two trees, a tree and a cycle, or two cycles.