Research Reports from the Department of Operations

Authors

Daniel Solow

Document Type

Report

Publication Date

5-1-1978

Abstract

A new proof technique for showing certain graphs are Hamiltonian is presented. One assumes G to be non-Hamiltonian and derives a contradiction by showing that a largest cycle of G can be strictly increased in length. The results are that if certain theta subgraphs do not appear in G then G is Hamiltonian.

Keywords

Operations research, Graph theory, Hamiltonian graph theory, Proof theory, Graph algorithms

Publication Title

Technical Memorandums from the Department of Operations, School of Management, Case Western Reserve University

Issue

Technical memorandum no. 440

Rights

This work is in the public domain and may be freely downloaded for personal or academic use

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