arXiv Open Access 2025

D-Antimagic Labelings of Oriented Star Forests

Ahmad Muchlas Abrar Rinovia Simanjuntak

Lihat Sumber

Abstrak

For a distance set $D$, an oriented graph $\overrightarrow{G}$ is $D$-antimagic if there exists a bijective vertex labeling such that the sum of all labels of $D$-out-neighbors is distinct for each vertex. This paper provides all orientations and all possible $D$s of a $D$-antimagic oriented star. We provide necessary and sufficient condition for $D$-antimagic oriented star forest containing isomorphic oriented stars. We show that for all possible $D$s, there exists an orientation for a star forest to admit a $D$-antimagic labeling.

Topik & Kata Kunci

math.CO

Penulis (2)

Ahmad Muchlas Abrar

Rinovia Simanjuntak

Format Sitasi

APA MLA BibTeX

Abrar, A.M., Simanjuntak, R. (2025). D-Antimagic Labelings of Oriented Star Forests. https://arxiv.org/abs/2501.05148

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓