The bandwidth of the tower graph Tm,n

The bandwidth problem for a graph is that of labeling its vertices with distinct integers so that the maximum difference across an edge is minimized. In this study, the bandwidth of a tower graph Tm,n is investigated. A tower graph Tm,n is a block graph such that the following are satisfied: 1. the...

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Bibliographic Details
Main Authors: Lim, Yvette F., Garcia, Mark Anthony A.
Format: text
Published: Animo Repository 2009
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Online Access:https://animorepository.dlsu.edu.ph/faculty_research/6069
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Institution: De La Salle University
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Summary:The bandwidth problem for a graph is that of labeling its vertices with distinct integers so that the maximum difference across an edge is minimized. In this study, the bandwidth of a tower graph Tm,n is investigated. A tower graph Tm,n is a block graph such that the following are satisfied: 1. the vertices can be partitioned into a cartesian product Km x Pn and an independent set; and,2. each vertex of the clique Km has exactly one neighbor in the independent set.