A solution to the problem of finding an optimal spanning tree using the computer

Date of Publication

1991

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Applied Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

This paper presents two algorithms in finding an optimal (minimum or maximum) spanning tree of a given weighted, simple, connected graph G on n vertices, where 1 n 10. The algorithms, which are a version of Kruskal's and Prim's algorithms combined, are coded into two programming languages namely CLIPPER and TURBO C. A detailed proof of the algorithm for finding a minimum spanning tree of G is provided. The researchers likewise presented a variation of Kruskal's algorithm, that is, finding optimal spanning trees with arbitrarily fixed edges.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU05691

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

71 numb. leaves

Keywords

Trees (Graph theory); Programming (Mathematics); Problem solving

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