Journal and conference publications

Bounded fractional intersecting families are linear in size

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

Electron. J. Combin. 32 (Aug. 2025), no. 3, #P3.34, 10 pp., doi:10.37236/12900, available at arXiv:2402.14981 [math.CO].  PDF

Low-rank matrices, tournaments, and symmetric designs

N. Balachandran, B. Sankarnarayanan.

Linear Algebra Appl. 694 (Aug. 2024), 136–147, doi:10.1016/j.laa.2024.04.006, available at arXiv:2401.14015v4 [math.CO] with typos fixed.

MR4736676,  Zbl 1539.05071.  PDF

Almost full rank matrices arising from transitive tournaments

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

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

MR4703565,  Zbl 1533.05147.  PDF (VoR).  PDF (AM)

On hierarchically closed fractional intersecting families

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

Electron. J. Combin. 30 (Dec. 2023), no. 4, #P4.37, 17 pp., doi:10.37236/11651, available at arXiv:2211.02540 [math.CO] with addendum.

MR4672585,  Zbl 1533.05268.  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 07728658.  PDF

An ensemble of high rank matrices arising from tournaments

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

Linear Algebra Appl. 658 (Feb. 2023), 310–318, doi:10.1016/j.laa.2022.11.004, available at arXiv:2108.10871 [math.CO] with addendum.

MR4513895,  Zbl 1506.15034.  PDF

Addendum notified in R. A. Brualdi, "From the Editor-in-Chief", Linear Algebra Appl. 684 (Mar. 2024), 158–159, doi:10.1016/j.laa.2023.12.013.  

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

B. Sankarnarayanan.

Ann. Combin. 26 (Feb. 2022), no. 3, 559–569, doi:10.1007/s00026-022-00573-8, available at arXiv:2106.01037 [math.CO].

MR4473892,  Zbl 1497.05098.  PDF

Typos:

§4.1, last sentence: "k ≥ 4" should be "k ≥ 3".

§4.2: "T(1, 2s, ⌊(s – 1)/2⌋)" should be "T(1, 2s, s – 1)".

§4.3: "T(1, 2r, ⌊(r − 1)/2⌋)" should be "T(1, 2r, r − 1)".

§4.4, second paragraph: "5-chromatic" should be "5-colorable".

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

N. Balachandran, B. Sankarnarayanan.

Electron. J. Combin. 28 (Dec. 2021), no. 4, #P4.50, 20 pp., doi:10.37236/10263, available at arXiv:2102.06993 [math.CO].

MR4394670,  Zbl 1486.05101.  PDF

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 (Oct. 2019), no. 10, 4210–4215,  doi:10.1080/00927872.2019.1581211.

MR3975999,  Zbl 1432.20031.  PDF (VoR).  PDF (AM)

Preprints

List of coauthors

• N. Balachandran (IIT Bombay)

• K. Balasubramanian (IISER Bhopal)

• S. Bhattacharya (IIT Palakkad)

• S. Das (National Taiwan University)

• K. V. Kher (IIT Hyderabad)

• R. Mathew (IIT Hyderabad)

• K. S. Senthil Raani (IISER Berhampur)

• U. Shankar (IIT Bombay)