Journal Publications

1. Čech complexes of hypercube graphs (with H. Adams and S. Shukla), Homology, Homotopy and Applications, to appear. (arXiv, Journal)

2. Fröberg's Theorem, vertex splittability and higher independence complexes (with P. Deshpande, A. Roy, and A. Van Tuyl), Journal of Commutative Algebra, to appear. (arXiv, Journal)

3. Subsequence frequency in binary words (with K. Menon), Discrete Mathematics, vol. 347, no. 5, 113928, 2024. (arXiv, Journal)

4. Dyck paths, binary words, and Grassmannian permutations avoiding an increasing pattern (with K. Menon), Annals of Combinatorics, 2023. (arXiv, Journal)

5. Homomorphism complexes, reconfiguration, and homotopy for directed graphs (with A. Dochtermann), European Journal of Combinatorics, vol. 110, 103704, 2023. (arXiv, Journal)

6. Chordal graphs, higher independence and vertex decomposable complexes (with F.M. Abdelmalek, P. Deshpande, S. Goyal, and A. Roy), International Journal of Algebra and Computation, vol. 33, no. 3, 481-498, 2023. (arXiv, Journal)

7. On the topology of bi-cyclopermutohedra (with P. Deshpande and N. Manikandan), Indian Journal of Pure and Applied Mathematics, vol. 54, 159-181, 2023. (arXiv, Journal)

8. The Borsuk-Ulam theorem for planar polygon spaces (with N. Daundkar, P. Deshpande, and S. Goyal), Topology and its applications, vol. 318, 108204, 2022. (arXiv, Journal) .

9. Pattern avoidance of [4,k]-pairs in circular permutations (with K. Menon), Advances in Applied Mathematics, vol. 138, 102346, 2022. (arXiv, Journal)

10. Distance r-domination number and r-Independence complexes of graphs (with P. Deshpande and S. Shukla), European Journal of Combinatorics, vol. 102, 103508, 2022. (arXiv, Journal)

11. Higher matching complexes of complete graphs and complete bipartite graphs, Discrete Mathematics, vol. 345, no. 4, 112761, 2022. (arXiv, Journal)

12. Vertex decomposability of complexes associated to forests, Transactions on Combinatorics, vol. 11, no. 1, pp. 1-13, 2022. (arXiv, Journal)

13. Topology of clique complexes of line graphs (with S. Goyal and S. Shukla), The Art of Discrete and Applied Mathematics, vol. 5, no. 2, 2022.  (arXiv, Journal)

14. Matching complexes of 3 × n grid graphs (with S. Goyal and S. Shukla), Electronic Journal of Combinatorics, vol. 28, no. 4, Article no. P4.16, 2021. (arXiv, Journal)

15. Neighborhood complexes of Kneser graphs, KG_{3,k} (with N. Nilakantan), Southeast Asian Bulletin of Mathematics, vol. 47, no. 2, 241-261, 2023. (arXiv, Journal)

16. Pattern avoidance and dominating compositions (with K. Menon), Enumerative Combinatorics and Applications, vol. 2, no. 1, Article #S2R4, 2021. (arXiv, Journal)

17. A combinatorial statistics for labeled threshold graphs (with P. Deshpande and K. Menon), Enumerative Combinatorics and Applications, vol.  1, no. 3, Article #S2R22, 2021. (arXiv, Journal)

18. Homotopy Type of Independence Complexes of Certain Families of Graphs (with S. Goyal and S. Shukla), Contribution to Discrete Mathematics, vol. 16, no. 3, 74-92, 2021. (arXiv, Journal)

19. Counting regions of the boxed threshold arrangements (with P. Deshpande and K. Menon), Journal of Integer Sequences, vol 24, no. 5, Article 21.5.7 - 19 pp.,  2021. (arXiv, Journal)

20. Higher Independence complexes of graphs and their homotopy types (with P. Deshpande), Journal of the Ramanujan Mathematical Society, vol. 36, no. 1, 53–71, 2021. (arXiv, Journal)

21. Bounded degree complexes of forests, Discrete Mathematics, vol. 343, no. 10, 112009, 2020. (arXiv, Journal)

22. Homotopy Type of Neighborhood complexes of Kneser graphs, KG_{2,k} (with N. Nilakantan), Proceedings of the Indian Academy of Sciences - Mathematical Sciences, vol. 128, no. 5, p. 53, 2018. (arXiv, Journal)

Extended Abstracts

• Homomorphism complexes, reconfiguration, and homotopy for directed graphs (with A. Dochtermann), Séminaire Lotharingien de Combinatoire 86B, Article #7, 12 pp., 2022. (Link)