The bandwidth of tower graphs Tm,2 and Tm,3

The bandwidth problem deals with finding a labeling of a graph G using non-negative integers such that the maximum difference between adjacent vertices is minimized. This thesis is a study on the bandwidth of tower graphs Tm,2 and Tm,3. Furthermore, some theorems and properties of bandwidth-critical...

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Bibliographic Details
Main Author: Garcia, Mark Anthony A.
Format: text
Published: Animo Repository 2007
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Online Access:https://animorepository.dlsu.edu.ph/faculty_research/6070
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Institution: De La Salle University
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Summary:The bandwidth problem deals with finding a labeling of a graph G using non-negative integers such that the maximum difference between adjacent vertices is minimized. This thesis is a study on the bandwidth of tower graphs Tm,2 and Tm,3. Furthermore, some theorems and properties of bandwidth-critical subgraphs included in the paper entitled The bandwidth problem: Critical subgraphs and solution for caterpillars by Maciej Syslo and Jerzy Zak were proven and were used in the proofs for the bandwidth of tower graphs Tm,2 and Tm,3.