A PROPERLY EVEN HARMONIOUS LABELING OF SOME WHEEL GRAPH W_n FOR n IS EVEN
A properly even harmonious labeling of a graph G with q edges is an injective mapping f from the vertices of graph G to the integers from 0 to 2q-1 such that induces a bijective mapping f* from the edges of G to {0,2,...,2q-2} defined by f*(v_iv_j)=(f(v_i)+f(v_j))(mod2q). A graph that has a proper...
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| Format: | Article |
| Language: | English |
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Universitas Pattimura
2024-03-01
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| Series: | Barekeng |
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/11101 |
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| author | Fakhrun Nisa M. Ivan Ariful Fathoni Adika Setia Brata |
| author_facet | Fakhrun Nisa M. Ivan Ariful Fathoni Adika Setia Brata |
| author_sort | Fakhrun Nisa |
| collection | DOAJ |
| description | A properly even harmonious labeling of a graph G with q edges is an injective mapping f from the vertices of graph G to the integers from 0 to 2q-1 such that induces a bijective mapping f* from the edges of G to {0,2,...,2q-2} defined by f*(v_iv_j)=(f(v_i)+f(v_j))(mod2q). A graph that has a properly even harmonious labeling is called a properly even harmonious graph. In this research, we will show the existence of a properly even harmonious labeling of some wheel graph W_n for n is even. |
| format | Article |
| id | doaj-art-8ccb0c8e5bd04208b4d1f780d9de79e5 |
| institution | Kabale University |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-8ccb0c8e5bd04208b4d1f780d9de79e52025-08-20T03:37:31ZengUniversitas PattimuraBarekeng1978-72272615-30172024-03-011810553056410.30598/barekengvol18iss1pp0553-056411101A PROPERLY EVEN HARMONIOUS LABELING OF SOME WHEEL GRAPH W_n FOR n IS EVENFakhrun Nisa0M. Ivan Ariful Fathoni1Adika Setia Brata2Department of Mathematics Education, FKIP, University of Nahdlatul Ulama Sunan Giri, IndonesiaDepartment of Mathematics Education, FKIP, University of Nahdlatul Ulama Sunan Giri, IndonesiaDepartment of Statistics, Institut Sains dan Teknologi Nahdlatul Ulama Bali, IndonesiaA properly even harmonious labeling of a graph G with q edges is an injective mapping f from the vertices of graph G to the integers from 0 to 2q-1 such that induces a bijective mapping f* from the edges of G to {0,2,...,2q-2} defined by f*(v_iv_j)=(f(v_i)+f(v_j))(mod2q). A graph that has a properly even harmonious labeling is called a properly even harmonious graph. In this research, we will show the existence of a properly even harmonious labeling of some wheel graph W_n for n is even.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/11101properly even harmonious labelingproperly even harmonious graphwheel graph |
| spellingShingle | Fakhrun Nisa M. Ivan Ariful Fathoni Adika Setia Brata A PROPERLY EVEN HARMONIOUS LABELING OF SOME WHEEL GRAPH W_n FOR n IS EVEN Barekeng properly even harmonious labeling properly even harmonious graph wheel graph |
| title | A PROPERLY EVEN HARMONIOUS LABELING OF SOME WHEEL GRAPH W_n FOR n IS EVEN |
| title_full | A PROPERLY EVEN HARMONIOUS LABELING OF SOME WHEEL GRAPH W_n FOR n IS EVEN |
| title_fullStr | A PROPERLY EVEN HARMONIOUS LABELING OF SOME WHEEL GRAPH W_n FOR n IS EVEN |
| title_full_unstemmed | A PROPERLY EVEN HARMONIOUS LABELING OF SOME WHEEL GRAPH W_n FOR n IS EVEN |
| title_short | A PROPERLY EVEN HARMONIOUS LABELING OF SOME WHEEL GRAPH W_n FOR n IS EVEN |
| title_sort | properly even harmonious labeling of some wheel graph w n for n is even |
| topic | properly even harmonious labeling properly even harmonious graph wheel graph |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/11101 |
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