Graph Theory and its Applications Group

The Graph Theory and its Applications Group investigates structural and spectral properties of graphs, with a strong emphasis on real-world modelling and applications. Research spans algebraic and topological aspects of graph theory — including Castelnuovo–Mumford regularity, simplicial complexes, and Laplacian eigenvectors — as well as graph modelling in bioinformatics and ontology, chemical graph theory problems, applications of graph theory in complex networks and dynamical systems. The group maintains active collaborations with researchers in combinatorial algebra and topology, bioinformatics, computer science, and dynamical systems.