q-Enumeration of Type B and Type D Eulerian Polynomials Based on Parity of Descents
Hiranya Kishore Dey, Umesh Shankar, Sivaramakrishnan Sivasubramanian
Enumerative Combinatorics and Applications, Vol 4, Article #S2R3, 2024. available at arXiv:2211.15277 [math.CO]
Enumeration of flattened k-Stirling permutations with respect to descents
Umesh Shankar
accepted at Journal of Integer Sequences, available at arXiv:2307.07730 [math.CO]
On Gao-Thangadurai’s conjecture
Umesh Shankar, Srilakshmi Krishnamoorty, Karthikesh Baskaran
J. Ramanujan Math. Soc. 39, No. 3, 211-217 (2024).
Canonical reduced words and signed descent length enumeration in Coxeter groups
Umesh Shankar , Sivaramakrishnan Sivasubramanian
J Algebr Comb 60, 965–989 (2024), doi.org/10.1007/s10801-024-01359-2, available at arXiv:2307.07730 [math.CO]
Synchronicity of descent and excedance enumerators in the alternating subgroup
Umesh Shankar
Discrete Math. 348, No. 8, Article ID 114521, 9 p (2025), available at arXiv:2404.01783 [math.CO]
A descent-excedance correspondence in colored permutation groups
Hiranya Kishore Dey , Umesh Shankar, Sivaramakrishnan Sivasubramanian
Enumer. Comb. Appl. 5, No. 3, Article ID S2R24, 11 p. (2025), available at arXiv:2410.23206 [math.CO]
Ferry Cover with Connectivity Constraints
Niranjan Balachandran, Ankita Dargad, Urban Larsson, Neeldhara Misra, Umesh Shankar
accepted at FUN with Algorithms, 2026.
Two bijections in the spirit of the transformation fondamentale
Umesh Shankar
Available at arXiv:2404.01788 [math.CO]
Log-concavity of rows of triangular arrays satisfying a certain super-recurrence
Umesh Shankar
Available at arXiv:2508.12467 [math.CO]
Ordinal and disjoint sums of partially ordered patterns
Sucharita Biswas, Umesh Shankar, Sivaramakrishnan Sivasubramanian
Available at arXiv:2510.18761 [math.CO]
An insertion process and a parity based equidistribution
Umesh Shankar
Available at arXiv:2603.14508 [math.CO]
An extremal problem on vertex intersection graphs of paths
Niranjan Balachandran, Brahadeesh Sankarnarayanan, Shagnik Das, Umesh Shankar
Available upon request.
A cyclic sieving phenomenon in Motzkin objects
Umesh Shankar
Available upon request.
N. Balachandran (IIT Bombay)
Hiranya Kishore Dey (IIT Jammu)
Sivaramakrishnan Sivasubramanian (IIT Bombay)
Srilakshmi Krishnamoorthy (IISER Thiruvananthapuram)
Sucharita Biswas (IIT Bombay)
Brahadeesh Sankarnarayanan (IIT Jodhpur)
Ankita Dargad (IIT Bombay)
Neeldhara Misra (IIT Gandhinagar)
Urban Larsson (IIT Bombay)