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Biplab Basak

0000-0002-4978-7022
math.GTmath.COmath.GN

On Valency

published · living versions
W_8jbvw4xn·v1 · currentpublished
Topological Insights and Combinatorial Frameworks for Twist Knot Complements
with Mangaldeep Saha, Ayushi Trivedi
1 version

Preprints & journals

29 papers in the corpus · 2013–2026
The Homotopy Types of the Independence and Perfect Matching Complexes of Möbius and Circular Ladder Graphs2608.30601v2 · Anshu Agarwal, Biplab Basak2026 · 0 citationsarXiv
A Complete Classification of Discrete dd-Pseudomanifolds with at Most 2d+72d+7 Vertices2606.29753v1 · Biplab Basak, Debolina Ghosh, Raju Kumar Gupta2026 · 0 citationsarXiv
Coloring discrete pseudomanifolds2601.03592v1 · Biplab Basak, Vanny Doem, Chandal Nahak2026 · 0 citationsElectron. J. Graph Theory Appl. (EJGTA) 14 (2026), no 1, 127--137
A classification of semi-equivelar gems on the double torus2512.13135v2 · Anshu Agarwal, Biplab Basak, Debolina Ghosh2025 · 0 citationsarXiv
Regular genus of S2×S1×S1\mathbb{S}^2 \times \mathbb{S}^1 \times \mathbb{S}^1, 44-torus, and small covers over Δ2×Δ2\Delta^2 \times \Delta^22506.01315v1 · Anshu Agarwal, Biplab Basak2025 · 0 citationsarXiv
Normal 44-pseudomanifolds with a relative 2-skeleton2505.03413v1 · Biplab Basak, Mangaldeep Saha, Sourav Sarkar2025 · 0 citationsarXiv
Minimal Simplicial Degree dd Maps from Genus gg Surfaces to the Torus2505.02386v2 · Biplab Basak, Ayushi Trivedi2025 · 1 citationarXiv
Embeddings of edge-colored dual graphs of balanced 3- and 4-manifolds2503.06133v2 · Biplab Basak, Sourav Sarkar2025 · 0 citationsarXiv
Simplicial degree dd self-maps on nn-spheres2409.00907v2 · Biplab Basak, Raju Kumar Gupta, Ayushi Trivedi2024 · 0 citationsarXiv
Crystallizations of small covers over the nn-simplex Δn\Delta^n and the prism Δn−1×I\Delta^{n-1} \times I2408.05922v3 · Anshu Agarwal, Biplab Basak2024 · 0 citationsDiscrete Math. 349 (2026), no. 7, Paper No. 115057
Minimal simplicial degree dd self-maps of Sn−1×S1\mathbb{S}^{n-1}\times \mathbb{S}^12407.10128v2 · Anshu Agarwal, Biplab Basak, Sourav Sarkar2024 · 0 citationsarXiv
Average edge order of normal 33-pseudomanifolds2406.14010v2 · Biplab Basak, Raju Kumar Gupta2024 · 0 citationsarXiv
A classification of semi-equivelar gems of PL dd-manifolds on the surface with Euler characteristic −1-12405.04005v2 · Anshu Agarwal, Biplab Basak2024 · 0 citationsTopol. Methods Nonlinear Anal. 65 (2025), no. 2, 765 -- 783
A structure theorem for homology 4-manifolds with g2≤5g_2\leq 52302.02355v2 · Biplab Basak, Sourav Sarkar2023 · 1 citationAdv. in Appl. Math. 157 (2024), Paper No. 102705, 26 pp
Semi-equivelar gems of PL dd-manifolds2207.01812v2 · Biplab Basak, Manisha Binjola2022 · 0 citationsBeitr Algebra Geom (2025) 66(2): 239--252
On a construction of some homology dd-manifolds2206.01117v2 · Biplab Basak, Sourav Sarkar2022 · 0 citationsDiscrete Math. 349 (2026), no. 2, Paper No. 114843, 16 pp
A characterization of g2g_2-minimal normal 3-pseudomanifolds with at most four singularities2202.06582v3 · Biplab Basak, Raju Kumar Gupta, Sourav Sarkar2022 · 2 citationsTopol. Methods Nonlinear Anal. 64 (2024), no. 2, 479 -- 491
A characterization of normal 33-pseudomanifolds with g2≤4g_2\leq42202.06638v1 · Biplab Basak, Raju Kumar Gupta2022 · 0 citationsarXiv
A characterization of normal 3-pseudomanifolds with at most two singularities2104.03751v3 · Biplab Basak, Raju Kumar Gupta, Sourav Sarkar2021 · 3 citationsDiscrete Math. 346 (12) (2023), Paper No. 113588, 15 pp
Handle decompositions for a class of closed orientable PL 4-manifolds2103.13602v3 · Biplab Basak, Manisha Binjola2021 · 0 citationsIndian J. Pure Appl. Math. 55 (2024), no. 4, 1166--1172
On regular genus and G-degree of PL 4-manifolds with boundary2011.00761v2 · Biplab Basak, Manisha Binjola2020 · 0 citationsJournal of the Indian Math. Soc. Vol. 91, Nos. (1-2) (2024), 155--170
Minimal crystallizations of 3-manifolds with boundary2001.10214v5 · Biplab Basak, Manisha Binjola2020 · 2 citationsBeitr. Algebra Geom. 63(4) (2022), 907--919
Three-dimensional normal pseudomanifolds with relatively few edges1803.08942v3 · Biplab Basak, Ed Swartz2018 · 9 citationsAdvances in Mathematics 365 (2020) 107035
Genus-minimal crystallizations of PL 4-manifolds1606.07196v3 · Biplab Basak2016 · 11 citationsBeitr. Algebra Geom. 59 (1) (2018), 101 -- 111
Lower bounds for regular genus and gem-complexity of PL 4-manifolds1504.00771v2 · Biplab Basak, Maria Rita Casali2015 · 17 citationsForum Math. 29 (4) (2017), 761 -- 773
An algorithmic approach to construct crystallizations of 33-manifolds from presentations of fundamental groups1410.5917v3 · Biplab Basak2014 · 1 citationProc. Indian Acad. Sci. (Math. Sci.) Vol. 126, No. 4, November 2016
Simple crystallizations of 4-manifolds1407.0752v2 · Biplab Basak, Jonathan Spreer2014 · 16 citationsAdv. Geom. 16 (2016), no. 1
Minimal crystallizations of 3-manifolds1308.6137v3 · Biplab Basak, Basudeb Datta2013 · 17 citationsElectron. J. Combin. 21 (2014), no. 1
Equilibrium and equivariant triangulations of some small covers with minimum number of vertices1306.1568v3 · Biplab Basak, Soumen Sarkar2013 · 5 citationsJ. Ramanujan Math. Soc. 30 (2015), no. 1
Career total: 36 works. 29 are in this corpus.

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