A Search Procedure for Hamilton Paths and Circuits

Author:

Rubin Frank1

Affiliation:

1. IBM Corporation, Department B62--Building 707, Box 390, Poughkeepsie, New York

Abstract

A search procedure is given which will determine whether Hamilton paths or circuits exist in a given graph, and will find one or all of them. A combined procedure is given for both directed and undirected graphs. The search consists of creating partial paths and making deductions which determine whether each partial path is a section of any Hamilton path whatever, and which direct the extension of the partial paths.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Reference10 articles.

1. {. On finding simple paths and circuits in a graph;I~ LSON, GORDON I;IEEE Trans. Circuit Theor.,1968

2. All paths through a maze;K~ OFT, D;Proc. IEEE,1967

3. Enumeration of all paths in digraphs;It~ K.R;Psychometrika,1964

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