2 citations · 6 across the 6 of their papers we have counts for
7 papers
Neighborhood Complexes of Kneser Graphs,
Nandini Nilakantan, Anurag Singh
In this article, we prove that the neighborhood complex of the Kneser graph is of the same homotopy type as that of a wedge of spheres…
Hom complexes of graphs of diameter
Anurag Singh
Given a finite simplicial complex and a connected graph of diameter , in \cite{anton} Dochtermann had conjectured that is homotopy equivalent to…
Homotopy type of Neighborhood Complexes of Kneser graphs,
Nandini Nilakantan, Anurag Singh
Schrijver identified a family of vertex critical subgraphs of the Kneser graphs called the stable Kneser graphs . Björner and de Longueville proved that the neighborhood…
Neighborhood Complexes of Some Exponential Graphs
Nandini Nilakantan, Samir Shukla
In this article, we consider the bipartite graphs . We first show that the connectedness of . Further, we show that $\text{Hom}(K_2 \…
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…
Connectedness of Certain Graph Coloring Complexes
Nandini Nilakantan, Samir Shukla
In this article, we consider the bipartite graphs . We prove that the connectedness of the complex is if $…