"Some characterizations of Eulerian and Hamiltonian graphs" by Philip Gabriel Y. Andrada and Hans Vernie L. Ong

Some characterizations of Eulerian and Hamiltonian graphs

Date of Publication

2006

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Thesis Adviser

Rigor B. Ponsones

Defense Panel Member

Severino V. Gervacio
Wilson Cordova
Francis Joseph H. Campeña

Abstract/Summary

The thesis is an exposition of some characterization of Eulerian and Hamiltonian graphs. It discusses the definitions of an Eulerian graph, Hamiltonian graph and examples, a necessary and sufficient condition for a graph to be Eulerian, a necessary and sufficient condition for a graph to be edge-traceable, the Fleury's algorithms and its justification, and sufficient conditions for a graph to be Hamiltonian.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU13526

Shelf Location

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

Physical Description

vi, 46, [16] leaves : ill.

Keywords

Eulerian graph theory

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