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Assistant Professor of Mathematics · Program Head, Data Science Programs · Ph.D. · Graph Theorist · Computational Researcher

I am a mathematician and an Assistant Professor at Marwadi University, Rajkot. My research began in spectral graph theory, particularly graph energy, eccentricity-based invariants and structural questions about graphs. I continue to work on these mathematical problems while exploring their connections with complex networks, molecular structures and data-driven scientific models.

I enjoy research that brings together a precise mathematical question and a careful computational investigation. In my collaborative work, I value clear proofs, reproducible experiments and an equally clear account of what the evidence does—and does not—establish.

• Graph theory and spectral methods. I study graph energy, eccentricity-related matrices and invariants, extremal problems, and structural and algorithmic questions.
• Networks and resilience. I investigate how network structure relates to vulnerability, edge failure and decisions in infrastructure systems.
• Molecular and biomolecular graphs. My work includes molecular graph descriptors, structure–property modelling and residue-network geometry.
• Scientific machine learning. I am interested in how uncertainty, representation limits and the quality of evidence affect the reliability of computational conclusions.

My publicly available research materials span four related areas: graph theory, network systems, molecular and biomolecular graphs, and scientific machine learning. These repositories include mathematical results, computational experiments and reproducibility materials.

I study how operation-labelled directed architectures can have indistinguishable ordinary route spectra while differing under eccentricity-weighted route operators. The research repository contains exact mathematical constructions and verification materials.

Residue-network geometry around mutations	Flood-road inspection and transfer evaluation
Graph-theoretic consistency and verification	Geographic transfer and predictive reliability
Graph spectra and electrical vulnerability	Representation limits of molecular descriptors
Scientific rules and applicability under shift	Uncertainty calibration across composition regimes

• Reciprocal Irregularity Under Partial Edge Subdivision. International Journal of Advanced Multidisciplinary Research and Studies, 6(5), 1336–1341, September–October 2026.
• Edge Failure Sensitivity of Wiener and Harary Indices in Classical Network Graphs. International Journal of Scientific Development and Research, 11(9), b394–b402, September 2026.
• Explainable Machine Learning for Real-Time Cyber Threat Detection: An Intelligent Framework for Adaptive Information Security. Computer and Decision Making: An International Journal, 3(5S), 89–102, October 2026.
• Eccentricity-Based Bounds for the Spectral Radius of Graph Matrices. International Journal of Science and Research, Vol. 15, pp. 681–686, 2026.
• On Vertex Eccentricity Labeled Energy of a Graph. International Journal of Basic and Applied Sciences, 14(4), 339–350, 2025.

For additional publication details, please see my academic CV.

At Marwadi University, I also serve as Program Head, Data Science Programs and Area Chair — Advanced Computing. These responsibilities complement my work in teaching, mentoring and research.

My teaching includes Linear Algebra, Calculus, Discrete Mathematics, Probability, Statistics, Operations Research and Applied Mathematics. I am particularly interested in helping students connect mathematical foundations with real computational problems.

I welcome academic collaborations in graph theory, network science, mathematical chemistry, scientific computing and related areas where complementary expertise can lead to meaningful results.

Contact: dr.sunilgargusai@gmail.com · Marwadi University profile