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pro vyhledávání: '"Nilakantan, Nandini"'
Autor:
Nilakantan, Nandini, Shukla, Samir
Publikováno v:
In Topology and its Applications 1 September 2024 354
Autor:
Nilakantan, Nandini, Singh, Anurag
In this article, we prove that the neighborhood complex of the Kneser graph $KG_{3,k}$ is of the same homotopy type as that of a wedge of $\frac{(k+1)(k+3)(k+4)(k+6)}{4}+1$ spheres of dimension $k$. We construct a maximal subgraph $S_{3,k}$ of $KG_{3
Externí odkaz:
http://arxiv.org/abs/1807.11732
Autor:
Nilakantan, Nandini, Singh, Anurag
Publikováno v:
Proceedings-Mathematical Sciences 128.5 (2018): 53
Schrijver identified a family of vertex critical subgraphs of the Kneser graphs called the stable Kneser graphs $SG_{n,k}$. Bj\"{o}rner and de Longueville proved that the neighborhood complex of the stable Kneser graph $SG_{n,k}$ is homotopy equivale
Externí odkaz:
http://arxiv.org/abs/1802.05848
Autor:
Nilakantan, Nandini, Shukla, Samir
In this article, we define a family of regular bipartite graphs and show that the homotopy type of the independence complexes of this family is the wedge sum of spheres of certain dimensions.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/1709.04789
Autor:
Nilakantan, Nandini, Shukla, Samir
Publikováno v:
The Electronic Journal of Combinatorics, 23(2) (2016), #P2.26
In this article, we consider the bipartite graphs $K_2 \times K_n$. We first show that the connectedness of $\mathcal{N}(K_{n+1}^{K_n}) =0$. Further, we show that $\text{Hom}(K_2 \times K_{n}, K_{m})$ is homotopic to $S^{m-2}$, if $2\leq m
Externí odkaz:
http://arxiv.org/abs/1709.05263
Autor:
Nilakantan, Nandini, Shukla, Samir
In this article, we consider the bipartite graphs $K_2 \times K_n$. We prove that the connectedness of the complex $\displaystyle \text{Hom}(K_2\times K_{n}, K_m) $ is $m-n-1$ if $m \geq n$ and $m-3$ in the other cases. Therefore, we show that for th
Externí odkaz:
http://arxiv.org/abs/1702.03527
Autor:
Nilakantan, Nandini1 nandini@iitk.ac.in, Singh, Anurag2 asinghiitg@gmail.com
Publikováno v:
Southeast Asian Bulletin of Mathematics. 2023, Vol. 47 Issue 2, p241-261. 21p.
Autor:
Datta, Basudeb, Nilakantan, Nandini
A normal pseudomanifold is a pseudomanifold in which the links of simplices are also pseudomanifolds. So, a normal 2-pseudomanifold triangulates a connected closed 2-manifold. But, normal $d$-pseudomanifolds form a broader class than triangulations o
Externí odkaz:
http://arxiv.org/abs/math/0701038
Autor:
Datta, Basudeb1 dattab@math.iisc.ernet.in, Nilakantan, Nandini2
Publikováno v:
International Journal of Mathematics & Mathematical Sciences. 2008, p1-21. 21p. 4 Diagrams, 1 Chart.
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