The Geometric Index of the Wheel, Wn
The geometric index of a graph G is defined as the smallest non-negative integer n such that a graph G is a unit graph in r. Graphs considered are finite, undirected, without loops nor multiple edges. Also, edge crossings are allowed in the figures but distinct vertices must have distinct coordinate...
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| Format: | Article |
| Language: | English |
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Davao Oriental State University
1998-12-01
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| Series: | Davao Research Journal |
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| Online Access: | https://davaoresearchjournal.ph/index.php/main/article/view/83 |
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| _version_ | 1849739135580897280 |
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| author | Rowena Baylon |
| author_facet | Rowena Baylon |
| author_sort | Rowena Baylon |
| collection | DOAJ |
| description | The geometric index of a graph G is defined as the smallest non-negative integer n such that a graph G is a unit graph in r. Graphs considered are finite, undirected, without loops nor multiple edges. Also, edge crossings are allowed in the figures but distinct vertices must have distinct coordinates and that the line segment joining adjacent vertices must not pass through any other vertex. In this paper, the geometric index g of the wheel Wn (n 3, 4, 5,…) is discovered and proven. The results of this study may serve as a benchmark information to other researchers interested in expanding the study of geometric index on all graphs. |
| format | Article |
| id | doaj-art-afecc61660ec4f1e897fa16e4b6a4e61 |
| institution | DOAJ |
| issn | 2244-4432 2984-7125 |
| language | English |
| publishDate | 1998-12-01 |
| publisher | Davao Oriental State University |
| record_format | Article |
| series | Davao Research Journal |
| spelling | doaj-art-afecc61660ec4f1e897fa16e4b6a4e612025-08-20T03:06:21ZengDavao Oriental State UniversityDavao Research Journal2244-44322984-71251998-12-0111636910.59120/drj.v1i1.8383The Geometric Index of the Wheel, WnRowena Baylon0Instructor, Mathematical Sciences Department, Davao Oriental State College of Science and TechnologyThe geometric index of a graph G is defined as the smallest non-negative integer n such that a graph G is a unit graph in r. Graphs considered are finite, undirected, without loops nor multiple edges. Also, edge crossings are allowed in the figures but distinct vertices must have distinct coordinates and that the line segment joining adjacent vertices must not pass through any other vertex. In this paper, the geometric index g of the wheel Wn (n 3, 4, 5,…) is discovered and proven. The results of this study may serve as a benchmark information to other researchers interested in expanding the study of geometric index on all graphs.https://davaoresearchjournal.ph/index.php/main/article/view/83unit graphsunit embedding |
| spellingShingle | Rowena Baylon The Geometric Index of the Wheel, Wn Davao Research Journal unit graphs unit embedding |
| title | The Geometric Index of the Wheel, Wn |
| title_full | The Geometric Index of the Wheel, Wn |
| title_fullStr | The Geometric Index of the Wheel, Wn |
| title_full_unstemmed | The Geometric Index of the Wheel, Wn |
| title_short | The Geometric Index of the Wheel, Wn |
| title_sort | geometric index of the wheel wn |
| topic | unit graphs unit embedding |
| url | https://davaoresearchjournal.ph/index.php/main/article/view/83 |
| work_keys_str_mv | AT rowenabaylon thegeometricindexofthewheelwn AT rowenabaylon geometricindexofthewheelwn |