Topological spaces associated with simple graphs
The aim of this article is to associate a topology with a set of vertices for any simple graph (finite or infinite), called incidence topology. A subbasis family to generate the topology is introduced. Some properties of this topology were investigated and were shown that this topology satisfies the...
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| Format: | Article |
| Language: | English |
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Ilirias Research Institute
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/74314/ http://psasir.upm.edu.my/id/eprint/74314/1/Topological%20spaces%20associated%20with%20simple%20graphs.pdf |
| _version_ | 1848857475024945152 |
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| author | Kilicman, Adem Abdulkalek, Khalid |
| author_facet | Kilicman, Adem Abdulkalek, Khalid |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The aim of this article is to associate a topology with a set of vertices for any simple graph (finite or infinite), called incidence topology. A subbasis family to generate the topology is introduced. Some properties of this topology were investigated and were shown that this topology satisfies the property of Alexandroff, i.e. the intersection of each collection of open sets is open. Giving a fundamental step toward studying some properties of simple graphs by their corresponding topology is our motivation. Furthermore, a comparison between two different subbases to generate a topology is presented. |
| first_indexed | 2025-11-15T11:58:08Z |
| format | Article |
| id | upm-74314 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:58:08Z |
| publishDate | 2018 |
| publisher | Ilirias Research Institute |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-743142020-04-19T15:43:08Z http://psasir.upm.edu.my/id/eprint/74314/ Topological spaces associated with simple graphs Kilicman, Adem Abdulkalek, Khalid The aim of this article is to associate a topology with a set of vertices for any simple graph (finite or infinite), called incidence topology. A subbasis family to generate the topology is introduced. Some properties of this topology were investigated and were shown that this topology satisfies the property of Alexandroff, i.e. the intersection of each collection of open sets is open. Giving a fundamental step toward studying some properties of simple graphs by their corresponding topology is our motivation. Furthermore, a comparison between two different subbases to generate a topology is presented. Ilirias Research Institute 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/74314/1/Topological%20spaces%20associated%20with%20simple%20graphs.pdf Kilicman, Adem and Abdulkalek, Khalid (2018) Topological spaces associated with simple graphs. Journal of Mathematical Analysis, 9 (4). 44 - 52. ISSN 2217-3412 http://ilirias.com/jma/ |
| spellingShingle | Kilicman, Adem Abdulkalek, Khalid Topological spaces associated with simple graphs |
| title | Topological spaces associated with simple graphs |
| title_full | Topological spaces associated with simple graphs |
| title_fullStr | Topological spaces associated with simple graphs |
| title_full_unstemmed | Topological spaces associated with simple graphs |
| title_short | Topological spaces associated with simple graphs |
| title_sort | topological spaces associated with simple graphs |
| url | http://psasir.upm.edu.my/id/eprint/74314/ http://psasir.upm.edu.my/id/eprint/74314/ http://psasir.upm.edu.my/id/eprint/74314/1/Topological%20spaces%20associated%20with%20simple%20graphs.pdf |