Journal and conference publications

Bounded fractional intersecting families are linear in size

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

The Electronic Journal of Combinatorics 32 (Aug. 2025), no. 3, #P3.34, 10 pp., doi:10.37236/12900, available at arXiv:2402.14981 [math.CO].

Zbl 08097662.  PDF

Low-rank matrices, tournaments, and symmetric designs

N. Balachandran, B. Sankarnarayanan.

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

MR4703565,  Zbl 1533.05147.  PDF (Version of Record).  PDF (Accepted Manuscript)

On hierarchically closed fractional intersecting families

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

The Electronic Journal of Combinatorics 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.

Conference on Algorithms and Discrete Applied Mathematics 2023. In: A. Bagchi, R. Muthu (eds.) Algorithms and Discrete Applied Mathematics, Lecture Notes in Computer Science 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 and its Applications 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 and its Applications 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.

Annals of Combinatorics 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.

The Electronic Journal of Combinatorics 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.

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

MR3975999,  Zbl 1432.20031.  PDF (Verson of Record).  PDF (Accepted Manuscript)

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)