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Computer generation of regular graphs Bowman, Diane M.
Abstract
The following is a study of the problem of computer generation of non-isomorphic regular graphs of degree d on n points. The uork consists of a study of various properties and representations of regular graphs and a discussion of hov these might be useful in solving the isomorphism problem in the computer generation of regular graphs. An algorithm for the generation of regular graphs of degree 3 on n points with a Hamiltonian cycle is presented. The algorithm is not ideal in that it does not generate distinct (ie. non-isomorphic) copies, and so a procedure for detecting graph isomorphism is used to process the list of graphs produced by the algorithm.
Item Metadata
| Title |
Computer generation of regular graphs
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
1974
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| Description |
The following is a study of the problem of computer generation of non-isomorphic regular graphs of degree d on n points. The uork consists of a study of various properties and representations of regular graphs and a discussion of hov these might be useful in solving the isomorphism problem in the computer generation of regular graphs. An algorithm for the generation of regular graphs of degree 3 on n points with a Hamiltonian cycle is presented. The algorithm is not ideal in that it does not generate distinct (ie. non-isomorphic) copies, and so a procedure for detecting graph isomorphism is used to process the list of graphs produced by the algorithm.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2010-01-19
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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| DOI |
10.14288/1.0051754
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| URI | |
| Degree (Theses) | |
| Program (Theses) | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.