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MATHEMATICS
The vertex local antimagicness for Knödel and Fibonacci graphs
L. Uma, G. Rajasekaran School of Advanced Sciences, Vellore Institute of Techonology, Vellore Campus, Tiruvalam Rd, Katpadi, Vellore, Tamil Nadu, 632014, India
Abstract:
In this article, we present the vertex local anti-magic chromatic number for some Knödel graphs $\mathcal{G}$ and Fibonacci graphs; disjoint union of Knödel graphs; and the join graphs $\mathcal{G}\vee \mathcal{H}$, where ${\mathcal{H}\in\{O_s,K_s,C_s,K_{s,\ell}\}}$.
Keywords:
vertex local anti-magic labeling, complete graphs, trivial graph, complete bipartite graphs, Knödel graphs, Fibonacci graphs, join graphs
Received: 31.07.2024 Accepted: 25.03.2025
Citation:
L. Uma, G. Rajasekaran, “The vertex local antimagicness for Knödel and Fibonacci graphs”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 35:2 (2025), 297–314
Linking options:
https://www.mathnet.ru/eng/vuu928 https://www.mathnet.ru/eng/vuu/v35/i2/p297
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