A Conjecture on Super Edge-Magic Total Labeling of 4-Cycle Books
A graph G is called cycle books B4,m,2 if G consists of m cycles C4 with a common path P2. Figueroa-Centeno, Ichishima, and Muntaner-Batle conjecture that the graph B4,m,2 is super edge-magic total if and only if m is even or m≡5 mod8. In this article, we prove this conjecture for m ≥ 36 and m = 0...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2021/8483926 |
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| _version_ | 1850178948006150144 |
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| author | Mudin Simanihuruk Tri Atmojo Kusmayadi Baki Swita Minsi Romala Friska Damanik |
| author_facet | Mudin Simanihuruk Tri Atmojo Kusmayadi Baki Swita Minsi Romala Friska Damanik |
| author_sort | Mudin Simanihuruk |
| collection | DOAJ |
| description | A graph G is called cycle books B4,m,2 if G consists of m cycles C4 with a common path P2. Figueroa-Centeno, Ichishima, and Muntaner-Batle conjecture that the graph B4,m,2 is super edge-magic total if and only if m is even or m≡5 mod8. In this article, we prove this conjecture for m ≥ 36 and m = 0 mod (2). |
| format | Article |
| id | doaj-art-becbc5e1069a45a4afcb61f2aa8ec8d4 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-becbc5e1069a45a4afcb61f2aa8ec8d42025-08-20T02:18:36ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252021-01-01202110.1155/2021/84839268483926A Conjecture on Super Edge-Magic Total Labeling of 4-Cycle BooksMudin Simanihuruk0Tri Atmojo Kusmayadi1Baki Swita2Minsi Romala3Friska Damanik4Mathematics Department, Universitas Bengkulu, Bengkulu 38371, IndonesiaMathematics Department, Universitas Sebelas Maret, Surakarta 57126, IndonesiaMathematics Department, Universitas Bengkulu, Bengkulu 38371, IndonesiaMathematics Department, Universitas Bengkulu, Bengkulu 38371, IndonesiaMathematics Department, Universitas Bengkulu, Bengkulu 38371, IndonesiaA graph G is called cycle books B4,m,2 if G consists of m cycles C4 with a common path P2. Figueroa-Centeno, Ichishima, and Muntaner-Batle conjecture that the graph B4,m,2 is super edge-magic total if and only if m is even or m≡5 mod8. In this article, we prove this conjecture for m ≥ 36 and m = 0 mod (2).http://dx.doi.org/10.1155/2021/8483926 |
| spellingShingle | Mudin Simanihuruk Tri Atmojo Kusmayadi Baki Swita Minsi Romala Friska Damanik A Conjecture on Super Edge-Magic Total Labeling of 4-Cycle Books International Journal of Mathematics and Mathematical Sciences |
| title | A Conjecture on Super Edge-Magic Total Labeling of 4-Cycle Books |
| title_full | A Conjecture on Super Edge-Magic Total Labeling of 4-Cycle Books |
| title_fullStr | A Conjecture on Super Edge-Magic Total Labeling of 4-Cycle Books |
| title_full_unstemmed | A Conjecture on Super Edge-Magic Total Labeling of 4-Cycle Books |
| title_short | A Conjecture on Super Edge-Magic Total Labeling of 4-Cycle Books |
| title_sort | conjecture on super edge magic total labeling of 4 cycle books |
| url | http://dx.doi.org/10.1155/2021/8483926 |
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