Year: 2025 | Month: December | Volume: 12 | Issue: 12 | Pages: 248-253
DOI: https://doi.org/10.52403/ijrr.20251227
Super (a,d)-C_m-Antimagic Total Labeling of Generalized Book Graphs
Niswah Qonita1, Agista Surya Bawana1
1Department of Mathematics, Faculty of Science and Mathematics, Universitas Diponegoro, Semarang, Indonesia
Corresponding Author: Niswah Qonita
ABSTRACT
A graph is considered to admit a covering if every edge of lies in a subgraph isomorphic to . We refer to as super antimagic total when there exists a bijection with such that the weights of all subgraphs isomorphic to , defined by , form an arithmetic sequence for integers and , where is the number of such subgraphs. In this work, we establish super antimagic total labelings for the classical book graph and for a generalized book graph constructed by extending the cycle-based structure of the standard model. We further show that the classical book graph appears as a special case of this generalized structure and that both graphs satisfy the super antimagic total property.
Keywords: Super (a,d)-antimagic total labeling, C_m-antimagic, Book graph, generalized book graph, Graph coverings
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