PEWARNAAN TITIK TOTAL SUPER ANTI-AJAIB LOKAL PADA GRAF PETERSEN DIPERUMUM P(n,k) DENGAN k=1,2
The local antimagic total vertex labeling of graph G is a labeling that every vertices and edges label by natural number from 1 to such that every two adjacent vertices has different weights, where is The sum of a vertex label and the labels of all edges that incident to the vertex. If the labelin...
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Universitas Pattimura
2021-12-01
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| Series: | Barekeng |
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/3830 |
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| author | Deddy Setyawan Anis Nur Afni Rafiantika Megahnia Prihandini Ermita Rizki Albirri Arika Indah Kristiana |
| author_facet | Deddy Setyawan Anis Nur Afni Rafiantika Megahnia Prihandini Ermita Rizki Albirri Arika Indah Kristiana |
| author_sort | Deddy Setyawan |
| collection | DOAJ |
| description | The local antimagic total vertex labeling of graph G is a labeling that every vertices and edges label by natural number from 1 to such that every two adjacent vertices has different weights, where is The sum of a vertex label and the labels of all edges that incident to the vertex. If the labeling start the smallest label from the vertex then the edge so that kind of coloring is called the local super antimagic total vertex labeling. That local super antimagic total vertex labeling induces vertex coloring of graph G where for vertex v, the weight w(v) is the color of v. The minimum number of colors that obtained by coloring that induces by local super antimagic total vertex labeling of G called the chromatic number of local super antimagic total vertex coloring of G, denoted by χlsat(G). In this paper, we consider the chromatic number of local super antimagic total vertex coloring of Generalized Petersen Graph P(n,k) for k=1, 2. |
| format | Article |
| id | doaj-art-5ef90479eed448bc8d4c3c4cf2766bb3 |
| institution | Kabale University |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2021-12-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-5ef90479eed448bc8d4c3c4cf2766bb32025-08-20T03:37:37ZengUniversitas PattimuraBarekeng1978-72272615-30172021-12-0115465165810.30598/barekengvol15iss4pp651-6583830PEWARNAAN TITIK TOTAL SUPER ANTI-AJAIB LOKAL PADA GRAF PETERSEN DIPERUMUM P(n,k) DENGAN k=1,2Deddy Setyawan0Anis Nur Afni1Rafiantika Megahnia Prihandini2Ermita Rizki Albirri3Arika Indah Kristiana4Universitas JemberUniversitas JemberUniversitas JemberUniversitas JemberUniversitas JemberThe local antimagic total vertex labeling of graph G is a labeling that every vertices and edges label by natural number from 1 to such that every two adjacent vertices has different weights, where is The sum of a vertex label and the labels of all edges that incident to the vertex. If the labeling start the smallest label from the vertex then the edge so that kind of coloring is called the local super antimagic total vertex labeling. That local super antimagic total vertex labeling induces vertex coloring of graph G where for vertex v, the weight w(v) is the color of v. The minimum number of colors that obtained by coloring that induces by local super antimagic total vertex labeling of G called the chromatic number of local super antimagic total vertex coloring of G, denoted by χlsat(G). In this paper, we consider the chromatic number of local super antimagic total vertex coloring of Generalized Petersen Graph P(n,k) for k=1, 2.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/3830vertex coloringgeneralized petersen graphlocal super antimagic total chromatic number |
| spellingShingle | Deddy Setyawan Anis Nur Afni Rafiantika Megahnia Prihandini Ermita Rizki Albirri Arika Indah Kristiana PEWARNAAN TITIK TOTAL SUPER ANTI-AJAIB LOKAL PADA GRAF PETERSEN DIPERUMUM P(n,k) DENGAN k=1,2 Barekeng vertex coloring generalized petersen graph local super antimagic total chromatic number |
| title | PEWARNAAN TITIK TOTAL SUPER ANTI-AJAIB LOKAL PADA GRAF PETERSEN DIPERUMUM P(n,k) DENGAN k=1,2 |
| title_full | PEWARNAAN TITIK TOTAL SUPER ANTI-AJAIB LOKAL PADA GRAF PETERSEN DIPERUMUM P(n,k) DENGAN k=1,2 |
| title_fullStr | PEWARNAAN TITIK TOTAL SUPER ANTI-AJAIB LOKAL PADA GRAF PETERSEN DIPERUMUM P(n,k) DENGAN k=1,2 |
| title_full_unstemmed | PEWARNAAN TITIK TOTAL SUPER ANTI-AJAIB LOKAL PADA GRAF PETERSEN DIPERUMUM P(n,k) DENGAN k=1,2 |
| title_short | PEWARNAAN TITIK TOTAL SUPER ANTI-AJAIB LOKAL PADA GRAF PETERSEN DIPERUMUM P(n,k) DENGAN k=1,2 |
| title_sort | pewarnaan titik total super anti ajaib lokal pada graf petersen diperumum p n k dengan k 1 2 |
| topic | vertex coloring generalized petersen graph local super antimagic total chromatic number |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/3830 |
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