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UBC Theses and Dissertations
Straight-line realization of planar graphs. Shiau, Luang-hung
Abstract
Few theorems are known about planar graphs. For, example, Kuratowski proved that a graph is planar if and only if it has no subgraph homeomorphic to K₅ or K₃,₃. It has remained as a direct criterion for determining whether a graph is planar or not. Powerful as the theorem is, it is not always easy to apply. This leads us to try some practical methods to test a planar graph. In this thesis, we have an algorithm for finding an outer circuit for a simple connected planar graph. Then, we use this outer circuit to draw a straight line graph in the plane. The programme for this algorithm is written in FORTRAN for an IBM 360/67 Computer.
Item Metadata
| Title |
Straight-line realization of planar graphs.
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
1971
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| Description |
Few theorems are known about planar graphs.
For, example, Kuratowski proved that a graph is planar if and only if it has no subgraph homeomorphic to K₅ or K₃,₃. It has remained as a direct criterion for determining whether a graph is planar or not. Powerful as the theorem is, it is not always easy to apply. This leads us to try some practical methods to test a planar graph.
In this thesis, we have an algorithm for finding an outer circuit for a simple connected planar graph. Then, we use this outer circuit to draw a straight line graph in the plane. The programme for this algorithm is written in FORTRAN for an IBM 360/67 Computer.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2011-05-03
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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 |
10.14288/1.0051252
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| URI | |
| Degree | |
| Program | |
| 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.