MULTIPLICATIVE TOPOLOGICAL INDICES OF UNIT GRAPHS ON FINITE COMMUTATIVE RING
DOI:
https://doi.org/10.3126/jist.v31i1.82774Keywords:
Commutative ring, Idempotents, Topological indices, UnitsAbstract
We provide and examine the multiplicative atom-bond connectivity index (MABCI) and the multiplicative Randić index (MRI) for unit graphs connected to Commutative rings, specifically for direct products of finite fields. For these indices, we provide explicit combinatorial formulas by applying the H-join decomposition method. A systematic methodology for calculating these indices is established by characterising edge partitions and degree distributions.
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