AN INCLUSIVE LOCAL IRREGULARITY VERTEX COLORING OF BOOK GRAPH FAMILY
Let is a simple and connected graph with as vertex set and as edge set. Vertex labeling on inclusive local irregularity vertex coloring is defined by mapping and the function of the inclusive local irregularity vertex coloring is with . In other words, an inclusive local irregularity vertex...
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Universitas Pattimura
2023-06-01
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| Series: | Barekeng |
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6514 |
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| author | Robiatul Adawiyah Muslihatul Aima Arika Indah Kristiana |
| author_facet | Robiatul Adawiyah Muslihatul Aima Arika Indah Kristiana |
| author_sort | Robiatul Adawiyah |
| collection | DOAJ |
| description | Let is a simple and connected graph with as vertex set and as edge set. Vertex labeling on inclusive local irregularity vertex coloring is defined by mapping and the function of the inclusive local irregularity vertex coloring is with . In other words, an inclusive local irregularity vertex coloring is defined by coloring the graph so that its weight value is obtained by adding up the labels of the neighboring vertex and its label. The inclusive local irregularity chromatic number is defined as the minimum number of colors obtained from coloring the vertex of the inclusive local irregularity in graph G, denoted by . In this paper, we learn about the inclusive local irregularity vertex coloring and determine the chromatic number on the book graphs. |
| format | Article |
| id | doaj-art-535f1a8d776444669d50da42dc1ad73f |
| institution | Kabale University |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2023-06-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-535f1a8d776444669d50da42dc1ad73f2025-08-20T03:37:33ZengUniversitas PattimuraBarekeng1978-72272615-30172023-06-011720601060810.30598/barekengvol17iss2pp0601-06086514AN INCLUSIVE LOCAL IRREGULARITY VERTEX COLORING OF BOOK GRAPH FAMILYRobiatul Adawiyah0Muslihatul Aima1Arika Indah Kristiana2Mathematics Education, Faculty of Teacher Training and Education, University of Jember, IndonesiaMathematics Education, Faculty of Teacher Training and Education, University of Jember, IndonesiaMathematics Education, Faculty of Teacher Training and Education, University of Jember, IndonesiaLet is a simple and connected graph with as vertex set and as edge set. Vertex labeling on inclusive local irregularity vertex coloring is defined by mapping and the function of the inclusive local irregularity vertex coloring is with . In other words, an inclusive local irregularity vertex coloring is defined by coloring the graph so that its weight value is obtained by adding up the labels of the neighboring vertex and its label. The inclusive local irregularity chromatic number is defined as the minimum number of colors obtained from coloring the vertex of the inclusive local irregularity in graph G, denoted by . In this paper, we learn about the inclusive local irregularity vertex coloring and determine the chromatic number on the book graphs.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6514an inclusive local irregularity vertex coloringbook graphs |
| spellingShingle | Robiatul Adawiyah Muslihatul Aima Arika Indah Kristiana AN INCLUSIVE LOCAL IRREGULARITY VERTEX COLORING OF BOOK GRAPH FAMILY Barekeng an inclusive local irregularity vertex coloring book graphs |
| title | AN INCLUSIVE LOCAL IRREGULARITY VERTEX COLORING OF BOOK GRAPH FAMILY |
| title_full | AN INCLUSIVE LOCAL IRREGULARITY VERTEX COLORING OF BOOK GRAPH FAMILY |
| title_fullStr | AN INCLUSIVE LOCAL IRREGULARITY VERTEX COLORING OF BOOK GRAPH FAMILY |
| title_full_unstemmed | AN INCLUSIVE LOCAL IRREGULARITY VERTEX COLORING OF BOOK GRAPH FAMILY |
| title_short | AN INCLUSIVE LOCAL IRREGULARITY VERTEX COLORING OF BOOK GRAPH FAMILY |
| title_sort | inclusive local irregularity vertex coloring of book graph family |
| topic | an inclusive local irregularity vertex coloring book graphs |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6514 |
| work_keys_str_mv | AT robiatuladawiyah aninclusivelocalirregularityvertexcoloringofbookgraphfamily AT muslihatulaima aninclusivelocalirregularityvertexcoloringofbookgraphfamily AT arikaindahkristiana aninclusivelocalirregularityvertexcoloringofbookgraphfamily AT robiatuladawiyah inclusivelocalirregularityvertexcoloringofbookgraphfamily AT muslihatulaima inclusivelocalirregularityvertexcoloringofbookgraphfamily AT arikaindahkristiana inclusivelocalirregularityvertexcoloringofbookgraphfamily |