Discrete Mathematics and Combinatorics, Applied Mathematics, Algebra and Number Theory, Computational Mathematics
5
Scopus Publications
16
Scholar Citations
2
Scholar h-index
Scopus Publications
Metric dimensions of the clean graph of a ring S. Jeyamangala Abirami, S. Angelin Kavitha Raj, S. Syed Ali Fathima Discrete Mathematics Algorithms and Applications, 2026 Let [Formula: see text] be a commutative ring with unity. The vertices of the clean graph [Formula: see text] of the ring [Formula: see text] are of the form [Formula: see text], where [Formula: see text] is an idempotent and [Formula: see text] is a unit element of [Formula: see text]. In this paper, we primarily focused on [Formula: see text], a subgraph of [Formula: see text] induced by non-zero idempotent elements and units of R. Two vertices [Formula: see text], are adjacent if and only if [Formula: see text] or [Formula: see text]. The main objective of this study is to investigate the metric, upper, and fault-tolerant metric dimensions of [Formula: see text], based on the idempotent and unit elements of the rings.
Fault-tolerant metric dimension of the intersection graph of gamma sets in the zero-divisor graph S. Jeyamangala Abirami, S. Angelin Kavitha Raj Discrete Mathematics Algorithms and Applications, 2025 The stable equivalent set is a finite collection of disjoint vertex subsets for a connected graph [Formula: see text] such that each set induces the same maximal independent set of [Formula: see text] and their union equals [Formula: see text]. The stable equivalence number is the maximum cardinality of the stable equivalent set [Formula: see text], and it is represented by the symbol [Formula: see text]. In order to analyze the fault-tolerant and local metric dimensions of the intersection graph of gamma sets in the zero-divisor graph, [Formula: see text], the stable equivalent set of [Formula: see text] was used.
Computation of reverse neighbourhood degree-based topological indices for the transition metal phthalocyanine polymers (poly-TMPc) S Jeyamangala Abirami, S Angelin Kavitha Raj, Muhammad Kamran Siddiqui Physica Scripta, 2024 In this article, we discuss the reverse neighbourhood degree-based topological indices for the transition metal phthalocyanine polymers (poly- TMPc). Degree-based topological indices have been extensively studied and linked to a variety of chemical properties. An even more recently established methodology for assessing chemical systems and geometries is the use of numerical descriptors based on the degree of definition defined by the reverse-degree concept technique. It highlights molecular characteristics as numerical descriptors based on the reverse-degree concept’s degree of definition and delivers numerical descriptors in algebraic form. On the other hand, due to their high catalytic activity, photostability, resistance to severe environments, and adaptable properties, transition metal phthalocyanines are a fascinating class of organic semiconductors. Furthermore, different types of reverse neighbourhood topological indices, such as the augmented Zagreb index, first and second Zagreb indexes, and Randi c ́ indexes, are defined and used to assess the complexity, stability, and other properties of poly-TMPc(m,n).
Computation of degree-based topological indices for the complex structure of ruthenium bipyridine S. Jeyamangala Abirami, S. Angelin Kavitha Raj, Muhammad Kamran Siddiqui, Tariq Javed Zia International Journal of Quantum Chemistry, 2024 In graph theory, a topological index is an important descriptor that helps analyze the physicochemical properties of the structure of chemical compounds through a chemical graph. Degree‐based topological indices have been extensively studied and linked to a variety of chemical properties. This work aims to construct a complex ruthenium‐bipyridine polymer structure involving triphenylamine, which will be useful in the manufacture of organic light‐emitting diodes, solar cells, organic field‐effect transistors, and photorefractive materials, especially as hole transport material. In order to study this novel complex ruthenium bipyridine structure, we employ a reliable mathematical tool called M‐polynomial and NM‐polynomial of the topological index, which displays some physical and chemical properties in numerical form.
Strong domination polynomials of flower graph S. Angelin Kavitha Raj, S. Jeya Mangala Abirami Aip Conference Proceedings, 2020 Let G=(V, E) be a simple graph. A set S ⊆ V is called a dominating set if every vertex v ∈ V is either a member of S or adjacent to a member of S. A set S ⊆ V is a Strong dominating set of G if for every vertex v ∈ V − S there exists a u ∈ S such that uv ∈ E and deg(u) ≥ deg(v). Let Fln be a Flower graph which is obtained from helm graph by joining each pendant vertex to the central vertex. Let Sd(Flnj) be the family of strong dominating set of Flower graph with number of elements in the set j and let Sd(Fln,j)= |Sd(Flnj)|. In this paper we establish Fln and obtain a iterative formula for Sd(Flnj). Using this iterative formula we consider the polynomial for SD(Fln,x)=∑j=02n(2nj) xj+1. Also we have determine several properties of polynomials on Flower graphs.
RECENT SCHOLAR PUBLICATIONS
Metric dimensions of the clean graph of a ring S Jeyamangala Abirami, S Angelin Kavitha Raj, S Syed Ali Fathima Discrete Mathematics, Algorithms and Applications, 2550190 , 2026 2026
Fault-tolerant metric dimension of the intersection graph of gamma sets in the zero-divisor graph SJ Abirami, SAK Raj Discrete Mathematics, Algorithms and Applications 17 (07), 2450117 , 2025 2025 Citations: 1
Perfectness of the Clean Graph of a Ring SJ Abirami, SAK Raj Indian Journal of Natural Sciences 15 (85), 76221-76225 , 2024 2024 Citations: 1
Computation of reverse neighbourhood degree-based topological indices for the transition metal phthalocyanine polymers (poly-TMPc) SJ Abirami, SAK Raj, MK Siddiqui Physica Scripta 99 (2), 025025 , 2024 2024 Citations: 4
Computation of degree-based topological indices for the complex structure of ruthenium bipyridine SJ Abirami, SAK Raj, MK Siddiqui, TJ Zia International Journal of Quantum Chemistry 124 (1) , 2023 2023 Citations: 8
Strong Domination Polynomials of Queen Crown Graph SAK Raj, SJ Abirami International Journal of Mathematics Trends and Technology 66 (2), 99-104 , 2020 2020
MOST CITED SCHOLAR PUBLICATIONS
Computation of degree-based topological indices for the complex structure of ruthenium bipyridine SJ Abirami, SAK Raj, MK Siddiqui, TJ Zia International Journal of Quantum Chemistry 124 (1) , 2023 2023 Citations: 8
Computation of reverse neighbourhood degree-based topological indices for the transition metal phthalocyanine polymers (poly-TMPc) SJ Abirami, SAK Raj, MK Siddiqui Physica Scripta 99 (2), 025025 , 2024 2024 Citations: 4
Fault-tolerant metric dimension of the intersection graph of gamma sets in the zero-divisor graph SJ Abirami, SAK Raj Discrete Mathematics, Algorithms and Applications 17 (07), 2450117 , 2025 2025 Citations: 1
Perfectness of the Clean Graph of a Ring SJ Abirami, SAK Raj Indian Journal of Natural Sciences 15 (85), 76221-76225 , 2024 2024 Citations: 1
Metric dimensions of the clean graph of a ring S Jeyamangala Abirami, S Angelin Kavitha Raj, S Syed Ali Fathima Discrete Mathematics, Algorithms and Applications, 2550190 , 2026 2026
Strong Domination Polynomials of Queen Crown Graph SAK Raj, SJ Abirami International Journal of Mathematics Trends and Technology 66 (2), 99-104 , 2020 2020
