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A clustering-based algorithm for the rectilinear steiner tree problem

Karimjee, Yousuali Karim (1994) A clustering-based algorithm for the rectilinear steiner tree problem. Masters thesis, King Fahd University of Petroleum and Minerals.


Arabic Abstract


English Abstract

The Steiner Tree Problem is the determination of the shortest connecting length between a given set of points and additional points. The Rectilinear Steiner Tree Problem is the same as above but the connecting lines are confined to the horizontal or vertical lines only (L₁ metric). A cluster is a set of points that influence each other locally. This research gives a new algorithm based on a clustering metric that determines much less steiner points locally in a cluster as well as those external to it. The algorithm matches the worst-case time complexity of O(nlogn) of previous authors while giving better average results then theirs. In addition a Neural Solution to the Steiner problem in Networks, which is a graph-theoretic representation of the problem, is explored and its limitations presented.

Item Type:Thesis (Masters)
Date:June 1994
Date Type:Completion
Divisions:College Of Computer Sciences and Engineering > Information and Computer Science Dept
Creators:Karimjee, Yousuali Karim
Committee Advisor:Er, Meng
Committee Members:Faisal, Kanaan Abed and Braham, Rafik
ID Code:10046
Deposited By:KFUPM ePrints Admin
Deposited On:22 Jun 2008 16:55
Last Modified:25 Apr 2011 10:00

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