Journal/conference publications

Self-dual representations of SL(2,F): an approach using the Iwahori–Hecke algebra

K. Balasubramanian, K. S. Senthil Raani, B. Sankarnarayanan.

Comm. Algebra 47 (2019), no. 10, 4210–4215,  doi:10.1080/00927872.2019.1581211.

MR3975999,  Zbl 1432.20031.  PDF

The choice number versus the chromatic number for graphs embeddable on orientable surfaces

N. Balachandran, B. Sankarnarayanan.

Electron. J. Comb. 28 (2021), no. 4, #P4.50, doi:10.37236/10263.

MR4394670,  Zbl 1486.05101.  Available at arXiv:2102.06993 [math.CO].  PDF

Note on 4-coloring 6-regular triangulations on the torus

B. Sankarnarayanan.

Ann. Comb. 26 (2022), no. 3, 559–569, doi:10.1007/s00026-022-00573-8.

MR4473892,  Zbl 1497.05098.  Available at arXiv:2106.01037 [math.CO].  PDF

An ensemble of high rank matrices arising from tournaments

N. Balachandran, S. Bhattacharya, B. Sankarnarayanan.

Linear Algebra Appl. 658 (2023), 310–318, doi:10.1016/j.laa.2022.11.004.

MR4513895,  Zbl 1506.15034.  Available with addendum at arXiv:2108.10871 [math.CO].  PDF

5-list-coloring toroidal 6-regular triangulations in linear time

N. Balachandran, B. Sankarnarayanan.

CALDAM 2023. In: A. Bagchi, R. Muthu (eds.) Algorithms and Discrete Applied Mathematics, LNCS 13947, pp. 134–146, Springer, Cham. (2023), doi:10.1007/978-3-031-25211-2_10. Extended abstract.

MR4573050,  Zbl 7728658.  PDF

 On hierarchically closed fractional intersecting families

N. Balachandran, S. Bhattacharya, K. V. Kher, R. Mathew, B. Sankarnarayanan.

Electron. J. Comb. 30 (2023), no. 4, #P4.37, doi:10.37236/11651.

MR4672585,  Zbl 07806264.  Available with addendum at arXiv:2211.02540 [math.CO].  PDF

Almost full rank matrices arising from transitive tournaments

N. Balachandran, S. Bhattacharya, B. Sankarnarayanan.

Linear Multilinear Algebra 72 (2024), no. 2, 153–161, doi:10.1080/03081087.2022.2158168.

MR4703565,  Zbl 07808500.  PDF

Low-rank matrices, tournaments, and symmetric designs

N. Balachandran, B. Sankarnarayanan.

Linear Algebra Appl. 694 (2024), 136–147, doi:10.1016/j.laa.2024.04.006.

Available at arXiv:2401.14015 [math.CO].  PDF

Preprints

5-list-coloring toroidal 6-regular triangulations in linear time

N. Balachandran, B. Sankarnarayanan.

Preprint (2021).

Available at arXiv:2106.01633 [math.CO].  PDF

Bounded fractional intersecting families are linear in size

N. Balachandran, S. Das, B. Sankarnarayanan.

Preprint (2024).

Available at arXiv:2402.14981 [math.CO].  PDF