Savari Prabhu - Academia.edu (original) (raw)

Papers by Savari Prabhu

CAUCHY: Jurnal Matematika Murni dan Aplikasi

Basically, the new topic of the dominant local metric dimension which be symbolized by Ddim_l (H)... more Basically, the new topic of the dominant local metric dimension which be symbolized by Ddim_l (H) is a combination of two concepts in graph theory, they were called the local metric dimension and dominating set. There are some terms in this topic that is dominant local resolving set and dominant local basis. An ordered subset W_l is said a dominant local resolving set of G if W_l is dominating set and also local resolving set of G. While dominant local basis is a dominant local resolving set with minimum cardinality. This study uses literature study method by observing the local metric dimension and dominating number before detecting the dominant local metric dimension of the graphs. After obtaining some new results, the purpose of this research is how the dominant local metric dimension of vertex amalgamation product graphs. Some special graphs that be used are star, friendship, complete graph and complete bipartite graph. Based on all observation results, it can be said that the d...

F1000Research, Jan 24, 2023

The funders had no role in study design, data collection and analysis, decision to publish, or pr... more The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.

RAIRO - Operations Research

Power utilities must track their power networks to respond to changing demand and availability co... more Power utilities must track their power networks to respond to changing demand and availability conditions to ensure effective and efficient operation. As a result, several power companies employ phase measuring units (PMUs) to check their power networks continuously. Supervising an electric power system with the fewest possible measurement equipment is precisely the vertex covering graph-theoretic problem, in which a set D is defined as a power dominating set (PDS) of a graph if it supervises every components (vertices and edges) in the system (with a couple of rules). The γp(G) is the minimal cardinality of a PDS of a graph G. In this present study, the PDS is identified for octahedral networks.

Cycloarenes are a particular category of polycyclic aromatic hydrocarbons that have intrigued the... more Cycloarenes are a particular category of polycyclic aromatic hydrocarbons that have intrigued the experimental world for decades owing to the distinctiveness of their atomic and electrical configurations. They are suitable venues for investigating fundamental problems of aromaticity, particularly those involving the π-electron distribution in complex aromatic structures. Cycloarenes have recently attracted much attention due to their distribution as analogs for graphene pores. Kekulene is the member of this family that has been studied the most. For decades, its electrical structure has been a source of contention. It’s a doughnut-shaped chemical structure of circularly stacked benzene rings with interesting structural characteristics that lend themselves to experimental investigations like π-electron conjugation circuits. To predict their properties, topological characterization of such structures is required. This paper discusses two new series of big polycyclic compounds made by ...

For a long time, the structure and characteristics of benzene and other arenes have piqued resear... more For a long time, the structure and characteristics of benzene and other arenes have piqued researchers curiosity in quantum chemistry. The structural features of polycyclic aromatic compounds, like the fundamental molecular topology, have a strong influence on their chemical and biological properties. Quantitative structure-activity and property relationship (QSAR/QSPR) techniques for predicting characteristics of polycyclic aromatic compounds (PAC) and related graphs from chemical structures have been developed in this approach. To obtain degree-based topological indices, we have many polynomials. The neighbourhood M-polynomial is one of these polynomials, which is used to produce a number of topological indices based on neighborhood degree sum. In this study, we offer the exact analytical expressions of neighborhood M-polynomial and their corresponding topological indices for supercoronene (SC), cove-hexabenzocoronene (cHBC), and triangular-shaped discotic graphene (TDG) with hexa...

Polycyclic Aromatic Compounds, 2021

Polycyclic Aromatic Compounds, 2022

Applied Mathematics and Computation, 2022

A set of vertices S ⊆ V (G) is a basis or resolving set of a graph G if for each x, y ∈ V (G) the... more A set of vertices S ⊆ V (G) is a basis or resolving set of a graph G if for each x, y ∈ V (G) there is a vertex u ∈ S such that d(x, u) = d(y, u). A basis S is a fault-tolerant basis if S \ {x} is a basis for every x ∈ S. The fault-tolerant metric dimension (FTMD) β ′ (G) of G is the minimum cardinality of a fault-tolerant basis. It is shown that each twin vertex of G belongs to every fault-tolerant basis of G. As a consequence, β ′ (G) = n(G) iff each vertex of G is a twin vertex, which corrects a wrong characterization of graphs G with β ′ (G) = n(G) from [Mathematics 7(1) (2019) 78]. This FTMD problem is reinvestigated for Butterfly networks, Benes networks, and silicate networks. This extends partial results from [IEEE Access 8 (2020) 145435-145445], and at the same time, disproves related conjectures from the same paper.

Complex., 2021

The study of structure-property relations including the transformations of molecules is of utmost... more The study of structure-property relations including the transformations of molecules is of utmost importance in correlations with corresponding physicochemical properties. The graph topological indices have been used effectively for such study and, in particular, bond-based indices play a vital role. The bond-additive topological indices of a molecular graph are defined as a sum of edge measures over all edges in which edge measures can be computed based on degrees, closeness, peripherality, and irregularity. In this study, we provide the mathematical characterization of the transformation of a structure that can be accomplished by the novel edge adjacency and incidence relations. We derive the exact expressions of bond type indices such as second Zagreb, sigma indices, and their coindices of total transformation and two types of semitransformations of the molecules which in turn can be used to characterize the topochemical and topostructural properties.

ArXiv, 2019

In this paper we initialize the study of independent domination in directed graphs. We show that ... more In this paper we initialize the study of independent domination in directed graphs. We show that an independent dominating set of an orientation of a graph is also an independent dominating set of the underlying graph, but that the converse is not true in general. We then prove existence and uniqueness theorems for several classes of digraphs including orientations of complete graphs, paths, trees, DAGs, cycles, and bipartite graphs. We also provide the idomatic number for special cases of some of these families of digraphs.

International Journal of Quantum Chemistry, 2021

The entire world is struggling to control the spread of coronavirus (COVID-19) as there are no pr... more The entire world is struggling to control the spread of coronavirus (COVID-19) as there are no proper drugs for treating the disease. Under clinical trials, some of the repurposed antiviral drugs have been applied to COVID-19 patients and reported the efficacy of the drugs with the diverse inferences. Molecular topology has been developed in recent years as an influential approach for drug design and discovery in which molecules that are structurally related show similar pharmacological properties. It permits a purely mathematical description of the molecular structure so that in the development of identification of new drugs can be found through adequate topological indices. In this paper, we study the structural properties of the several antiviral drugs such as chloroquine, hydroxychloroquine, lopinavir, ritonavir, remdesivir, theaflavin, nafamostat, camostat, umifenovir and bevacizumab by considering the distance and bond measures of chemical compounds. Our quantitative values of the topological indices are extremely useful in the recent development of designing new drugs for COVID-19.

Computational and Theoretical Chemistry, 2021

Abstract In Chemical lea, the polycyclic aromatic hydrocarbons (PAHs) have intricate as a minimum... more Abstract In Chemical lea, the polycyclic aromatic hydrocarbons (PAHs) have intricate as a minimum of two benzene rings enclosed in the cluster, linear, or angular arrangements. Benzenoids are analyzed interestingly by mathematicians and mathematical chemists in immeasurable papers for the last three decades. The main aim of chemical graph theory arises in graph invariants, which investigate a particle’s chemical properties in a molecular graph. The convex benzenoid system (CBS) is the parent structure of polyacene, parallelogram, trapezium, circumcorone, circum-pyrene, triangular, and bitrapezium structures. The counting polynomials were the most powerful tool to achieve molecular orbitals of alkenes, alkynes, and aromatic hydrocarbons. This exploration presents the topological description of CBS, in the expressions of Ω ( G , x ) , Θ ( G , x ) , PI ( G , x ) , Sd ( G , x ) polynomials and subsequent indices like theta index, PI index and Sadhana index. In this paper, we generalize the results of existing papers related to counting polynomials of certain molecular structures, which are CBS substructures.

Materials Research Express, 2020

Zeolites are aluminosilicates with extensive application both commercially and in materials scien... more Zeolites are aluminosilicates with extensive application both commercially and in materials science. Current applications include dehydrating natural gas and in humidity sensors. Synthesis of new frameworks is an important area of research in chemistry and materials science. The Zeolite LTA framework in particular is getting much attention in this area due to its potential for application. Topological indices are graph invariants which provide information on the structure of graphs and have proven very useful in quantitative structure activity relationships (QSAR) and quantitative structure property relationships (QSPR) at predicting important chemico-phyiscal aspects of chemical compounds. In this paper we compute nine of the most significant distance based topological indices of the Zeolite LTA framework and thirteen valency based molecular descriptors.

The European Physical Journal Plus, 2021

The study of benzenoid systems has been steadily gaining momentum due to their extensive applicat... more The study of benzenoid systems has been steadily gaining momentum due to their extensive applications in many emerging fields including nanosciences. Topological descriptors provide a mathematical expression of the molecular structure of chemical compounds and their properties. They serve as efficient and cost-effective tools to theoretically predict the properties of compounds using quantitative structure-activity (QSAR) and structure-property relationship (QSPR) studies. This paper demonstrates the computation of degree-based and irregularity-based topological descriptors using edge-partition techniques for two benzenoid structures. This analysis of degree-based descriptors for these structures can lay the basis for further exploration into benzenoids and their properties.