Minimal congestion trees

Analyzes the results of M.I. Ostrovskii's theorem of inequalities which estimate the minimal edge congestion for finite simple graphs. Uses the generic results of the theorem to examine and further reduce the parameters of inequalities for specific families of graphs, particularly complete grap...

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Bibliographic Details
Main Author: Dawson, Shelly Jean
Format: Others
Published: CSUSB ScholarWorks 2006
Subjects:
Online Access:https://scholarworks.lib.csusb.edu/etd-project/3005
https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=4022&context=etd-project
Description
Summary:Analyzes the results of M.I. Ostrovskii's theorem of inequalities which estimate the minimal edge congestion for finite simple graphs. Uses the generic results of the theorem to examine and further reduce the parameters of inequalities for specific families of graphs, particularly complete graphs and complete bipartite graphs. Also, explores a possible minimal congestion tree for some grids while forming a conjecture for all grids.