LOCAL IRREGULARITY POINT COLORING ON THE RESULT OF SUBDIVISION OPERATION OF HELM GRAPHS
One of the sub-chapters studied in graphs is local irregularity vertex coloring of graph. The based on definition of local irregularity vertex coloring of graph, as follow : (i)l : V (G) →{1, 2, 3, . . . , k} as a vertex irregular labeling and w : V (G) → N, for every uv ∈ E(G), w(u) ̸=w(v) with w(u...
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Universitas Nusa Cendana
2023-10-01
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| Series: | Jurnal Diferensial |
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| Online Access: | https://ejurnal.undana.ac.id/index.php/JD/article/view/12197 |
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| author | Ilmiatun Nuroeni Arika Indah Kristiana Saddam Hussen Susi Setiawani Robiatul Adawiyah |
| author_facet | Ilmiatun Nuroeni Arika Indah Kristiana Saddam Hussen Susi Setiawani Robiatul Adawiyah |
| author_sort | Ilmiatun Nuroeni |
| collection | DOAJ |
| description | One of the sub-chapters studied in graphs is local irregularity vertex coloring of graph. The based on definition of local irregularity vertex coloring of graph, as follow : (i)l : V (G) →{1, 2, 3, . . . , k} as a vertex irregular labeling and w : V (G) → N, for every uv ∈ E(G), w(u) ̸=w(v) with w(u) = Pv∈N(u)l(v) and (i) Opt(l) = min{max(li); li is a vertex irregular labeling}. The chromatic number of the local irregularity vertex coloring of G denoted by χlis(G), is the minimum cardinality of the largest label over all such local irregularity vertex colorings. In this article, discuss about local irregularity vertex coloring of subdivision by helm graph (Sg(Hn)). |
| format | Article |
| id | doaj-art-241b181f6cae4617932cd8d0618bbfed |
| institution | DOAJ |
| issn | 2775-9644 |
| language | English |
| publishDate | 2023-10-01 |
| publisher | Universitas Nusa Cendana |
| record_format | Article |
| series | Jurnal Diferensial |
| spelling | doaj-art-241b181f6cae4617932cd8d0618bbfed2025-08-20T02:55:10ZengUniversitas Nusa CendanaJurnal Diferensial2775-96442023-10-015211712510.35508/jd.v5i2.1219712197LOCAL IRREGULARITY POINT COLORING ON THE RESULT OF SUBDIVISION OPERATION OF HELM GRAPHSIlmiatun Nuroeni0Arika Indah Kristiana1Saddam Hussen2Susi Setiawani3Robiatul Adawiyah4Universitas JemberUniversity of JemberUniversitas JemberUniversitas JemberUniversitas JemberOne of the sub-chapters studied in graphs is local irregularity vertex coloring of graph. The based on definition of local irregularity vertex coloring of graph, as follow : (i)l : V (G) →{1, 2, 3, . . . , k} as a vertex irregular labeling and w : V (G) → N, for every uv ∈ E(G), w(u) ̸=w(v) with w(u) = Pv∈N(u)l(v) and (i) Opt(l) = min{max(li); li is a vertex irregular labeling}. The chromatic number of the local irregularity vertex coloring of G denoted by χlis(G), is the minimum cardinality of the largest label over all such local irregularity vertex colorings. In this article, discuss about local irregularity vertex coloring of subdivision by helm graph (Sg(Hn)).https://ejurnal.undana.ac.id/index.php/JD/article/view/12197vertex coloringlocal irregularitysubdivisionhelm graph |
| spellingShingle | Ilmiatun Nuroeni Arika Indah Kristiana Saddam Hussen Susi Setiawani Robiatul Adawiyah LOCAL IRREGULARITY POINT COLORING ON THE RESULT OF SUBDIVISION OPERATION OF HELM GRAPHS Jurnal Diferensial vertex coloring local irregularity subdivision helm graph |
| title | LOCAL IRREGULARITY POINT COLORING ON THE RESULT OF SUBDIVISION OPERATION OF HELM GRAPHS |
| title_full | LOCAL IRREGULARITY POINT COLORING ON THE RESULT OF SUBDIVISION OPERATION OF HELM GRAPHS |
| title_fullStr | LOCAL IRREGULARITY POINT COLORING ON THE RESULT OF SUBDIVISION OPERATION OF HELM GRAPHS |
| title_full_unstemmed | LOCAL IRREGULARITY POINT COLORING ON THE RESULT OF SUBDIVISION OPERATION OF HELM GRAPHS |
| title_short | LOCAL IRREGULARITY POINT COLORING ON THE RESULT OF SUBDIVISION OPERATION OF HELM GRAPHS |
| title_sort | local irregularity point coloring on the result of subdivision operation of helm graphs |
| topic | vertex coloring local irregularity subdivision helm graph |
| url | https://ejurnal.undana.ac.id/index.php/JD/article/view/12197 |
| work_keys_str_mv | AT ilmiatunnuroeni localirregularitypointcoloringontheresultofsubdivisionoperationofhelmgraphs AT arikaindahkristiana localirregularitypointcoloringontheresultofsubdivisionoperationofhelmgraphs AT saddamhussen localirregularitypointcoloringontheresultofsubdivisionoperationofhelmgraphs AT susisetiawani localirregularitypointcoloringontheresultofsubdivisionoperationofhelmgraphs AT robiatuladawiyah localirregularitypointcoloringontheresultofsubdivisionoperationofhelmgraphs |