Anti fuzzy line graphs
In crisp graphs, if a graph G is given then we can define line graph L(G) of it. In a similar way, for a given fuzzy graph, we can determine its fuzzy line graph. A number of important results about fuzzy line graphs have been obtained. However, study of anti fuzzy line graphs is still open. Motivat...
| Main Authors: | , , , , |
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| Format: | Proceedings |
| Language: | English English |
| Published: |
IOP Publishing Ltd.
2021
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| Subjects: | |
| Online Access: | https://eprints.ums.edu.my/id/eprint/31918/1/Anti%20fuzzy%20line%20graphs.ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/31918/2/Anti%20Fuzzy%20Line%20Graphs.pdf |
| _version_ | 1825714597346148352 |
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| author | Toto Nusantara Desi Rahmadani Asmianto Yuliana Trisanti Abdullah Gani |
| author_facet | Toto Nusantara Desi Rahmadani Asmianto Yuliana Trisanti Abdullah Gani |
| author_sort | Toto Nusantara |
| collection | UMS |
| description | In crisp graphs, if a graph G is given then we can define line graph L(G) of it. In a similar way, for a given fuzzy graph, we can determine its fuzzy line graph. A number of important results about fuzzy line graphs have been obtained. However, study of anti fuzzy line graphs is still open. Motivated by this, we are interested in studying anti fuzzy line graphs. In this paper, we define the concept of anti fuzzy line graphs. We derive a necessary and sufficient condition for an anti fuzzy graph to be isomorphic to its corresponding anti fuzzy line graph. We investigate when an isomorphism between two anti fuzzy graphs follows from an isomorphism of their corresponding anti fuzzy line graphs. We conjecture a necessary and sufficient condition for an anti fuzzy graph to be the anti fuzzy line graph of some anti fuzzy graph. In particular, we give some result related to regular anti fuzzy line graphs. |
| first_indexed | 2024-03-06T03:14:11Z |
| format | Proceedings |
| id | ums.eprints-31918 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:14:11Z |
| publishDate | 2021 |
| publisher | IOP Publishing Ltd. |
| record_format | dspace |
| spelling | ums.eprints-319182022-03-18T05:48:22Z https://eprints.ums.edu.my/id/eprint/31918/ Anti fuzzy line graphs Toto Nusantara Desi Rahmadani Asmianto Yuliana Trisanti Abdullah Gani QA75.5-76.95 Electronic computers. Computer science In crisp graphs, if a graph G is given then we can define line graph L(G) of it. In a similar way, for a given fuzzy graph, we can determine its fuzzy line graph. A number of important results about fuzzy line graphs have been obtained. However, study of anti fuzzy line graphs is still open. Motivated by this, we are interested in studying anti fuzzy line graphs. In this paper, we define the concept of anti fuzzy line graphs. We derive a necessary and sufficient condition for an anti fuzzy graph to be isomorphic to its corresponding anti fuzzy line graph. We investigate when an isomorphism between two anti fuzzy graphs follows from an isomorphism of their corresponding anti fuzzy line graphs. We conjecture a necessary and sufficient condition for an anti fuzzy graph to be the anti fuzzy line graph of some anti fuzzy graph. In particular, we give some result related to regular anti fuzzy line graphs. IOP Publishing Ltd. 2021-02 Proceedings PeerReviewed text en https://eprints.ums.edu.my/id/eprint/31918/1/Anti%20fuzzy%20line%20graphs.ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/31918/2/Anti%20Fuzzy%20Line%20Graphs.pdf Toto Nusantara and Desi Rahmadani and Asmianto and Yuliana Trisanti and Abdullah Gani (2021) Anti fuzzy line graphs. https://www.proquest.com/openview/07dc229aa993ecfa1898a21fa0581cc9/1?pq-origsite=gscholar&cbl=4998668 |
| spellingShingle | QA75.5-76.95 Electronic computers. Computer science Toto Nusantara Desi Rahmadani Asmianto Yuliana Trisanti Abdullah Gani Anti fuzzy line graphs |
| title | Anti fuzzy line graphs |
| title_full | Anti fuzzy line graphs |
| title_fullStr | Anti fuzzy line graphs |
| title_full_unstemmed | Anti fuzzy line graphs |
| title_short | Anti fuzzy line graphs |
| title_sort | anti fuzzy line graphs |
| topic | QA75.5-76.95 Electronic computers. Computer science |
| url | https://eprints.ums.edu.my/id/eprint/31918/1/Anti%20fuzzy%20line%20graphs.ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/31918/2/Anti%20Fuzzy%20Line%20Graphs.pdf |
| work_keys_str_mv | AT totonusantara antifuzzylinegraphs AT desirahmadani antifuzzylinegraphs AT asmianto antifuzzylinegraphs AT yulianatrisanti antifuzzylinegraphs AT abdullahgani antifuzzylinegraphs |