THE HARMONIOUS, ODD HARMONIOUS, AND EVEN HARMONIOUS LABELING
Suppose is a simple and connected graph with edges. A harmonious labeling on a graph is an injective function so that there exists a bijective function where for each An odd harmonious labeling on a graph is an injective function from to non-negative integer set less than so that there i...
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| Format: | Article |
| Language: | English |
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Universitas Pattimura
2022-12-01
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| Series: | Barekeng |
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5091 |
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| author | Ahmad Lasim Ikhsanul Halikin Kristiana Wijaya |
| author_facet | Ahmad Lasim Ikhsanul Halikin Kristiana Wijaya |
| author_sort | Ahmad Lasim |
| collection | DOAJ |
| description | Suppose is a simple and connected graph with edges. A harmonious labeling on a graph is an injective function so that there exists a bijective function where for each An odd harmonious labeling on a graph is an injective function from to non-negative integer set less than so that there is a function where for every An even harmonious labeling on a graph is an injective function so that there is a bijective function where for each . In this paper, we discuss how to build new labeling (harmonious, odd harmonious, even harmonious) based on the existing labeling (harmonious, odd harmonious, even harmonious) |
| format | Article |
| id | doaj-art-c757b136570b455ebbc966a49ee983a4 |
| institution | Kabale University |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2022-12-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-c757b136570b455ebbc966a49ee983a42025-08-20T03:37:34ZengUniversitas PattimuraBarekeng1978-72272615-30172022-12-011641131113810.30598/barekengvol16iss4pp1131-11385091THE HARMONIOUS, ODD HARMONIOUS, AND EVEN HARMONIOUS LABELINGAhmad Lasim0Ikhsanul Halikin1Kristiana Wijaya2Graph and Algebra Research Group, Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas JemberGraph and Algebra Research Group, Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas JemberGraph and Algebra Research Group, Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas JemberSuppose is a simple and connected graph with edges. A harmonious labeling on a graph is an injective function so that there exists a bijective function where for each An odd harmonious labeling on a graph is an injective function from to non-negative integer set less than so that there is a function where for every An even harmonious labeling on a graph is an injective function so that there is a bijective function where for each . In this paper, we discuss how to build new labeling (harmonious, odd harmonious, even harmonious) based on the existing labeling (harmonious, odd harmonious, even harmonious)https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5091harmonious labelingodd harmonious labelingeven harmonious labeling |
| spellingShingle | Ahmad Lasim Ikhsanul Halikin Kristiana Wijaya THE HARMONIOUS, ODD HARMONIOUS, AND EVEN HARMONIOUS LABELING Barekeng harmonious labeling odd harmonious labeling even harmonious labeling |
| title | THE HARMONIOUS, ODD HARMONIOUS, AND EVEN HARMONIOUS LABELING |
| title_full | THE HARMONIOUS, ODD HARMONIOUS, AND EVEN HARMONIOUS LABELING |
| title_fullStr | THE HARMONIOUS, ODD HARMONIOUS, AND EVEN HARMONIOUS LABELING |
| title_full_unstemmed | THE HARMONIOUS, ODD HARMONIOUS, AND EVEN HARMONIOUS LABELING |
| title_short | THE HARMONIOUS, ODD HARMONIOUS, AND EVEN HARMONIOUS LABELING |
| title_sort | harmonious odd harmonious and even harmonious labeling |
| topic | harmonious labeling odd harmonious labeling even harmonious labeling |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5091 |
| work_keys_str_mv | AT ahmadlasim theharmoniousoddharmoniousandevenharmoniouslabeling AT ikhsanulhalikin theharmoniousoddharmoniousandevenharmoniouslabeling AT kristianawijaya theharmoniousoddharmoniousandevenharmoniouslabeling AT ahmadlasim harmoniousoddharmoniousandevenharmoniouslabeling AT ikhsanulhalikin harmoniousoddharmoniousandevenharmoniouslabeling AT kristianawijaya harmoniousoddharmoniousandevenharmoniouslabeling |