My area of research lies in Applied Topology and Combinatorics. I am interested in the applications of topology in graph theory, combinatorics, and other related fields. The following is the list of my publications and preprints.
Published:
Čech complexes of hypercube graphs, (with Henry Adams and Anurag Singh),
Homology, Homotopy and Applications , 2024, To appear, [arXiv]
Connectedness of certain graph coloring complexes, (with Nandini Nilakantan),
Topology and its Applications, Volume:354, 108985, 2024, [arXiv]
SIAM Journal on Discrete Mathematics, 37.3, pp. 1472-1495, 2023 [arXiv]
Vertex cut of a graph and topological connectivity of its neighborhood complex, (with Rekha Santhanam)
Discrete Mathematics, 364.8, 113432, 2023 [arXiv]
Graphs and Combinatorics, 38.3, 1-14, 2022, [arXiv]
Distance r-domination number and r-independence complexes of graphs, (with Priyavrat Deshpande and Anurag Singh),
European Journal of Combinatorics, 102, 103508, 2022, [arXiv]
Topology of clique complexes of line graphs, (with Shuchita Goyal and Anurag Singh)
The Art of Discrete and Applied Mathematics, 5, no 2, Paper no:2.06, 12 pp, 2022, [arXiv]
Homotopy type of independence complexes of certain families of graphs, (with Shuchita Goyal and Anurag Singh),
Contributions to Discrete Mathematics, 16.3, 74-92, 2021, [arXiv]
Matching complexes of 3 x n grid graphs, (with Shuchita Goyal and Anurag Singh)
The Electronic Journal of Combinatorics, 28, no.4: P4.16, 2021.
Spectral gap bounds for the simplicial Laplacian and an application to random complexes, (with D. Yogeshwaran),
Journal of Combinatorial Theory, Series A 169, 105134, 20 pp., 2020 [arXiv]
The Electronic Journal of Combinatorics, 26, no. 2: P2.4, 2019.
Neighborhood complexes of some exponential graphs, (with Nandini Nilakantan),
The Electronic Journal of Combinatorics, 23, no. 2: P2.26, 2016.
Preprints:
3-cut complexes of squared cycle graphs (with Pratiksha Chauhan and Kumar Vinayak), (submitted), [arXiv]
On the matching complexes of categorical product of path graphs (with Raju Kumar Gupta, Sourav Sarkar and Sagar S. Sawant), (submitted) [arXiv]
Bounds for the collapsibility number of a simplicial complex and non-cover complexes of hypergraphs, (with Rekha Santhanam and Anurag Singh) (submitted), [arXiv]
Homotopy type of the independence complexes of a family of regular bipartite graphs., (with Nandini Nilakantan), [arXiv]
Collaborators:
Raju Kumar Gupta (Indian Institute of Technology Delhi, India)
Sourav Sarkar (Indian Institute of Technology Delhi, India)
Sagar Sawant (Indian Institute of Technology Madras, India)