K. Pattabiraman

ORCID: 0000-0001-7236-0732
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About
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Research Areas
  • Graph theory and applications
  • Computational Drug Discovery Methods
  • Graph Labeling and Dimension Problems
  • Advanced Graph Theory Research
  • Synthesis and Properties of Aromatic Compounds
  • Free Radicals and Antioxidants
  • Topological and Geometric Data Analysis
  • History and advancements in chemistry
  • Cholinesterase and Neurodegenerative Diseases
  • Interconnection Networks and Systems
  • Graphene research and applications
  • Limits and Structures in Graph Theory
  • Complex Network Analysis Techniques
  • Molecular Junctions and Nanostructures
  • Transportation Planning and Optimization
  • RNA modifications and cancer
  • Simulation Techniques and Applications
  • Dendrimers and Hyperbranched Polymers
  • graph theory and CDMA systems
  • Sensory Analysis and Statistical Methods
  • Advanced biosensing and bioanalysis techniques
  • Finite Group Theory Research
  • Graph Theory and Algorithms
  • Chemical Thermodynamics and Molecular Structure
  • Synthesis and biological activity

Annamalai University
2014-2024

A topological index, which is a number, connected to graph. It often used in chemometrics, biomedicine, and bioinformatics anticipate various physicochemical properties biological activities of compounds. The purpose this article encourage original research focused on graph indices for the drugs azacitidine, decitabine, guadecitabine as well an investigation genesis symmetry actual networks. Symmetry universal phenomenon that applies nature’s conservation rules complicated systems. Although...

10.3390/sym15030603 article EN Symmetry 2023-02-27

The threat of developing a cancer therapy has been there for the past two to three decades. Almost 10 million people worldwide are affected by this illness each year. Anticancer medications those that used treat cancer, malignant condition. These anticancer come in variety types, such as hormones, antimetabolites, and alkalizing agents. Numerous studies demonstrate close relationship between chemical structure drugs alkane characteristics including boiling, melting, enthalpy. Some antiviral...

10.1080/10406638.2022.2145320 article EN Polycyclic aromatic compounds 2022-11-18

The inverse sum indeg index ISI(G) of a simple graph G is defined as the terms dG(u)dG(v)dG(u)+dG(v) over all edges uv G, where dG(u) denotes degree vertex u G. In this paper, we present several upper and lower bounds on in some molecular structural parameters relate to various well-known descriptors.

10.1016/j.akcej.2017.06.001 article EN cc-by-nc-nd AKCE International Journal of Graphs and Combinatorics 2017-08-15

10.1016/j.dam.2011.10.020 article EN publisher-specific-oa Discrete Applied Mathematics 2011-11-08

The Wiener index of a connected graph G, denoted by W(G), is defined as 1 P u,v∈V (G) dG(u,v). Similarly, the hyper-Wiener WW(G), W(G) + d 2 (u,v). vertex Padmakar-Ivan (vertex PI) G sum over all edges uv number vertices which are not equidistant from u and v. In this paper, exact formulae for Wiener, hyperWiener PI indices strong product ⊠ Km0,m1,...,mr−1 , where complete multipartite with partite sets sizes m0,m1,...,mr−1, obtained. Also lower bounds graphs established.

10.7151/dmgt.1647 article EN Discussiones Mathematicae Graph Theory 2012-01-01

In this paper, we present exact formula for the weighted PI index of corona product two connected graphs in terms other graph invariants including index, first Zagreb and second index. Then, apply our result to compute indices t-fold bristled graph, bottleneck sunlet star fan wheel some classes bridge graphs.

10.1142/s1793830914500554 article EN Discrete Mathematics Algorithms and Applications 2014-08-06

10.1016/j.chemolab.2024.105180 article EN Chemometrics and Intelligent Laboratory Systems 2024-07-20

A topological index is a number that connected to chemical composition in order correlate substance’s makeup with different physical characteristics, reactivity, or biological activity. It common model drugs and other substances as forms, trees, graphs. Certain physico-chemical features of better degree-based invariants. Predictions concerning the dynamics continuing pandemic may be made use graphic theoretical approaches given here. In Networks, degree entropy epidemic related trees was...

10.3390/math11040960 article EN cc-by Mathematics 2023-02-13

10.1016/j.dam.2012.01.021 article EN publisher-specific-oa Discrete Applied Mathematics 2012-02-20

The Wiener index, denoted by W (G), of a connected graph G is the sum all pairwise distances vertices graph, that is, u, v).In this paper, we obtain index tensor product path and cycle.

10.7151/dmgt.1576 article EN Discussiones Mathematicae Graph Theory 2011-01-01

10.1016/j.dam.2014.07.020 article EN publisher-specific-oa Discrete Applied Mathematics 2014-08-15

10.1016/j.endm.2016.05.020 article EN Electronic Notes in Discrete Mathematics 2016-09-01

10.1016/j.endm.2017.11.009 article EN Electronic Notes in Discrete Mathematics 2017-12-01

The reformulated Zagreb index (or) RZ-invariant of a connected graph 𝒢 is defined as where d (a ) the degree vertex in 𝒢. In this paper, we study RZ-invariants for version -join given general graphs which are related to subdivision and total graph.

10.1080/09720529.2019.1681672 article EN Journal of Discrete Mathematical Sciences and Cryptography 2020-02-13

In this paper, first we investigate the basic properties of F-index and its coindex graph. Next obtain exact expression F-indices coindices for bridge graph, chain graph transformation Using some these results, have obtained value indices important classes chemical graphs.

10.37193/cmi.2017.02.09 article EN Creative Mathematics and Informatics 2017-01-01

10.1007/s40819-016-0167-6 article EN International Journal of Applied and Computational Mathematics 2016-04-04

In theoretical chemistry, topological indices are commonly employed to model the physico-chemical properties of chemical compounds. Mathematicians frequently use Zagreb calculate a compound's strain energy, melting point, boiling temperature, distortion, and stability. The current global pandemic caused by new SARS-CoV-2, also known as COVID-19, is significant public health concern. Various therapy modalities advised. issue has become worse since there hasn't been enough counseling....

10.1016/j.heliyon.2023.e21401 article EN cc-by-nc-nd Heliyon 2023-10-27

10.1007/s40819-016-0159-6 article EN International Journal of Applied and Computational Mathematics 2016-03-22
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