DIMENSI METRIK KETETANGGAAN LOKAL GRAF HASIL OPERASI k-COMB
Research on the local adjacency metric dimension has not been found in all operations of the graph, one of them is comb product graph. The purpose of this research was to determine the local adjacency metric dimension of k-comb product graph and level comb product graph between any connected graph...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universitas Airlangga
2019-08-01
|
| Series: | Contemporary Mathematics and Applications (ConMathA) |
| Subjects: | |
| Online Access: | https://e-journal.unair.ac.id/CONMATHA/article/view/14771 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850138518418882560 |
|---|---|
| author | Fryda Arum Pratama Liliek Susilowati Moh. Imam Utoyo |
| author_facet | Fryda Arum Pratama Liliek Susilowati Moh. Imam Utoyo |
| author_sort | Fryda Arum Pratama |
| collection | DOAJ |
| description | Research on the local adjacency metric dimension has not been found in all operations of the graph, one of them is comb product graph. The purpose of this research was to determine the local adjacency metric dimension of k-comb product graph and level comb product graph between any connected graph G and H. In this research graph G and graph H such as cycle graph, complete graph, path graph, and star graph. K-comb product graph between any graph G and H denoted by GokH. While level k comb product graph between any graph G and H denoted by GokH.
In this research, local adjacency metric dimension of GokSm graph only dependent to multiplication of the cardinality of V(G) and many of k value, while GokKm graph and GokCm graph is dependent to dominating number of G and multiplication of the cardinality of V(G), many of k value, and local adjacency metric dimension of Km graph or Cm graph. And then, local adjacency metric dimension of GokSm graph only dependent to the cardinality of V(Gok-1Sm), while GokKm graph and GokCm graph is dependent to dominating number of G and multiplication of the local adjacency metric dimension of Km graph or Cm graph with cardinality of V(Gok-1Km) or V(Gok-1Cm). |
| format | Article |
| id | doaj-art-c0c0e4d44dee4cd99abdccfaf1a654ca |
| institution | OA Journals |
| issn | 2686-5564 |
| language | English |
| publishDate | 2019-08-01 |
| publisher | Universitas Airlangga |
| record_format | Article |
| series | Contemporary Mathematics and Applications (ConMathA) |
| spelling | doaj-art-c0c0e4d44dee4cd99abdccfaf1a654ca2025-08-20T02:30:34ZengUniversitas AirlanggaContemporary Mathematics and Applications (ConMathA)2686-55642019-08-011111810.20473/conmatha.v1i1.1477111999DIMENSI METRIK KETETANGGAAN LOKAL GRAF HASIL OPERASI k-COMBFryda Arum Pratama0Liliek Susilowati1Moh. Imam Utoyo2Airlangga UniversityUniversitas AirlanggaUniversitas AirlanggaResearch on the local adjacency metric dimension has not been found in all operations of the graph, one of them is comb product graph. The purpose of this research was to determine the local adjacency metric dimension of k-comb product graph and level comb product graph between any connected graph G and H. In this research graph G and graph H such as cycle graph, complete graph, path graph, and star graph. K-comb product graph between any graph G and H denoted by GokH. While level k comb product graph between any graph G and H denoted by GokH. In this research, local adjacency metric dimension of GokSm graph only dependent to multiplication of the cardinality of V(G) and many of k value, while GokKm graph and GokCm graph is dependent to dominating number of G and multiplication of the cardinality of V(G), many of k value, and local adjacency metric dimension of Km graph or Cm graph. And then, local adjacency metric dimension of GokSm graph only dependent to the cardinality of V(Gok-1Sm), while GokKm graph and GokCm graph is dependent to dominating number of G and multiplication of the local adjacency metric dimension of Km graph or Cm graph with cardinality of V(Gok-1Km) or V(Gok-1Cm).https://e-journal.unair.ac.id/CONMATHA/article/view/14771local adjacency metric dimensionk-comb product graphlevel k comb product graphcomplete graphpath graphcycle graphand star graph |
| spellingShingle | Fryda Arum Pratama Liliek Susilowati Moh. Imam Utoyo DIMENSI METRIK KETETANGGAAN LOKAL GRAF HASIL OPERASI k-COMB Contemporary Mathematics and Applications (ConMathA) local adjacency metric dimension k-comb product graph level k comb product graph complete graph path graph cycle graph and star graph |
| title | DIMENSI METRIK KETETANGGAAN LOKAL GRAF HASIL OPERASI k-COMB |
| title_full | DIMENSI METRIK KETETANGGAAN LOKAL GRAF HASIL OPERASI k-COMB |
| title_fullStr | DIMENSI METRIK KETETANGGAAN LOKAL GRAF HASIL OPERASI k-COMB |
| title_full_unstemmed | DIMENSI METRIK KETETANGGAAN LOKAL GRAF HASIL OPERASI k-COMB |
| title_short | DIMENSI METRIK KETETANGGAAN LOKAL GRAF HASIL OPERASI k-COMB |
| title_sort | dimensi metrik ketetanggaan lokal graf hasil operasi k comb |
| topic | local adjacency metric dimension k-comb product graph level k comb product graph complete graph path graph cycle graph and star graph |
| url | https://e-journal.unair.ac.id/CONMATHA/article/view/14771 |
| work_keys_str_mv | AT frydaarumpratama dimensimetrikketetanggaanlokalgrafhasiloperasikcomb AT lilieksusilowati dimensimetrikketetanggaanlokalgrafhasiloperasikcomb AT mohimamutoyo dimensimetrikketetanggaanlokalgrafhasiloperasikcomb |