On Local Antimagic b-Coloring and Its Application for STGNN Time Series Forecasting on Horizontal Farming
This article discusses a local antimagic coloring which is a combination between antimagic labeling and coloring. It is a new notion. We define a vertex weight of as where is the set of edges incident to . The bijection is said to be a local antimagic labeling if for any two adjacent vertices, t...
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| Format: | Article |
| Language: | English |
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Mathematics Department UIN Maulana Malik Ibrahim Malang
2025-03-01
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| Series: | Cauchy: Jurnal Matematika Murni dan Aplikasi |
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| Online Access: | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/29968 |
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| author | R. Sunder Ika Hesti Agustin Dafik Dafik Ika Nur Maylisa N. Mohanapriya Marsidi Marsidi |
| author_facet | R. Sunder Ika Hesti Agustin Dafik Dafik Ika Nur Maylisa N. Mohanapriya Marsidi Marsidi |
| author_sort | R. Sunder |
| collection | DOAJ |
| description | This article discusses a local antimagic coloring which is a combination between antimagic labeling and coloring. It is a new notion. We define a vertex weight of as where is the set of edges incident to . The bijection is said to be a local antimagic labeling if for any two adjacent vertices, their vertex weights must be distinct. Furthermore a coloring of a graph is a proper coloring of the vertices of such that in each color class there exists a vertex having neighbors in all other color classes. If we assign color on each vertex by the vertex weight such that it induces a graph coloring satisfying coloring property, then this concept falls into a local antimagic coloring of graph. A local antimagic chromatic number, denoted by , is the maximum number of colors chosen for any colorings generated by local antimagic coloring of . In this paper we initiate to explore some new lemmas or theorems regarding to . Furthermore, to see the robust application of local antimagic coloring, at the end of this paper we will analyse the implementation of local antimagic coloring on Graph Neural Networks (GNN) multi-step time series forecasting on for NPK (Nitrogen, Phosphorus, and Potassium) concentration of companion plantations. |
| format | Article |
| id | doaj-art-a83d9696ce394fa98b4f66d4c09f5582 |
| institution | OA Journals |
| issn | 2086-0382 2477-3344 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Mathematics Department UIN Maulana Malik Ibrahim Malang |
| record_format | Article |
| series | Cauchy: Jurnal Matematika Murni dan Aplikasi |
| spelling | doaj-art-a83d9696ce394fa98b4f66d4c09f55822025-08-20T02:13:45ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442025-03-0110111713210.18860/cauchy.v10i1.299688643On Local Antimagic b-Coloring and Its Application for STGNN Time Series Forecasting on Horizontal FarmingR. Sunder0Ika Hesti Agustin1Dafik Dafik2Ika Nur Maylisa3N. Mohanapriya4Marsidi Marsidi5Galgotias UniversityUniversitas JemberUniversity of JemberUniversity of JemberDepartment of Mathematics, Kongunadu Arts and Science College, Tamil NaduDepartment of Mathematics Education, Universitas PGRI Argopuro JemberThis article discusses a local antimagic coloring which is a combination between antimagic labeling and coloring. It is a new notion. We define a vertex weight of as where is the set of edges incident to . The bijection is said to be a local antimagic labeling if for any two adjacent vertices, their vertex weights must be distinct. Furthermore a coloring of a graph is a proper coloring of the vertices of such that in each color class there exists a vertex having neighbors in all other color classes. If we assign color on each vertex by the vertex weight such that it induces a graph coloring satisfying coloring property, then this concept falls into a local antimagic coloring of graph. A local antimagic chromatic number, denoted by , is the maximum number of colors chosen for any colorings generated by local antimagic coloring of . In this paper we initiate to explore some new lemmas or theorems regarding to . Furthermore, to see the robust application of local antimagic coloring, at the end of this paper we will analyse the implementation of local antimagic coloring on Graph Neural Networks (GNN) multi-step time series forecasting on for NPK (Nitrogen, Phosphorus, and Potassium) concentration of companion plantations.https://ejournal.uin-malang.ac.id/index.php/Math/article/view/29968local antimagic b-chromatic numbergnn time series forecastingnpk companion plantation |
| spellingShingle | R. Sunder Ika Hesti Agustin Dafik Dafik Ika Nur Maylisa N. Mohanapriya Marsidi Marsidi On Local Antimagic b-Coloring and Its Application for STGNN Time Series Forecasting on Horizontal Farming Cauchy: Jurnal Matematika Murni dan Aplikasi local antimagic b-chromatic number gnn time series forecasting npk companion plantation |
| title | On Local Antimagic b-Coloring and Its Application for STGNN Time Series Forecasting on Horizontal Farming |
| title_full | On Local Antimagic b-Coloring and Its Application for STGNN Time Series Forecasting on Horizontal Farming |
| title_fullStr | On Local Antimagic b-Coloring and Its Application for STGNN Time Series Forecasting on Horizontal Farming |
| title_full_unstemmed | On Local Antimagic b-Coloring and Its Application for STGNN Time Series Forecasting on Horizontal Farming |
| title_short | On Local Antimagic b-Coloring and Its Application for STGNN Time Series Forecasting on Horizontal Farming |
| title_sort | on local antimagic b coloring and its application for stgnn time series forecasting on horizontal farming |
| topic | local antimagic b-chromatic number gnn time series forecasting npk companion plantation |
| url | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/29968 |
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