On local antimagic chromatic number of the join of two special families of graphs | II
Null graphs (respectively, 1-regular graphs) are the only regular graphs with local antimagic chromatic number 1 (respectively, undefined). In this paper, we proved that the join of 1-regular graph and a null graph has local antimagic chromatic number 3. As a by-product, we also obtained many families of (possibly disconnected or regular) bipartite and tripartite graph with local antimagic chromatic number 3.
Publication Details
- Journal
- Utilitas Mathematica
- Published
- 2025-09-27
- DOI
- https://doi.org/10.61091/um124-12
- Primary Topic
- Geochemistry and Geologic Mapping
- Type
- article
- Field-Weighted Citation Impact
- 0.00