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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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Mathematics Department UIN Maulana Malik Ibrahim Malang
2025-03-01
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| Series: | Cauchy: Jurnal Matematika Murni dan Aplikasi |
| Subjects: | |
| Online Access: | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/29968 |
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| Summary: | 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. |
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| ISSN: | 2086-0382 2477-3344 |