Samir Shukla

activity

20172026

most citedHomotopy type of the independence complexes of a family of regular bipartite graphs

1 citations · 1 across the 9 of their papers we have counts for

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3 papers · 2 filters

math.CO2017

Neighborhood Complexes of Some Exponential Graphs

Nandini Nilakantan, Samir Shukla

In this article, we consider the bipartite graphs $K_{2} \times K_{n}$ . We first show that the connectedness of $N (K_{n + 1}^{K_{n}}) = 0$ . Further, we show that $\text{Hom}(K_2 \…

math.CO2017★ 1 cited

Homotopy type of the independence complexes of a family of regular bipartite graphs

Nandini Nilakantan, Samir Shukla

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…

math.CO2017

Connectedness of Certain Graph Coloring Complexes

Nandini Nilakantan, Samir Shukla

In this article, we consider the bipartite graphs $K_{2} \times K_{n}$ . We prove that the connectedness of the complex $Hom (K_{2} \times K_{n}, K_{m})$ is $m - n - 1$ if $…