2 citations · 5 across the 11 of their papers we have counts for
13 papers
Nearest Graph Laplacians with Prescribed Connected Components: A Convex Framework for Network Reconstruction
Udit Raj, Sudeepto Bhattacharya, Prince Kanhya
We study the problem of constructing the nearest graph Laplacian matrix to a given Laplacian while enforcing a prescribed connected-component structure. Let the vertex set be parti…
Combinatorial metaplexes and centrality indices for identifying higher-order interactions
Hiren J. Dhameliya, Udit Raj, Sudeepto Bhattacharya
Complex systems consist of interacting units whose interactions may be pairwise, involving two units, or higher-order, involving more than two units simultaneously. Graphs capture…
Study of higher-order interactions in unweighted, undirected networks using persistent homology
Udit Raj, Slobodan Maletić, Sudeepto Bhattacharya
Persistent homology has been studied to better understand the structural properties and topology features of weighted networks. It can reveal hidden layers of information about the…
Simplicial structures in ecological networks
Udit Raj, Shashankaditya Upadhyay, Moumita Karmakar +1
An ecological network is a formal representation of a specific type of interaction in a corresponding ecosystem. Such networks have traditionally been modelled as encoding exclusiv…
Higher-order social-ecological network as a simplicial complex
Sudeepto Bhattacharya
A social-ecological network is a formal representation of a corresponding social-ecological system, and encodes a relation within a given system as an interaction. Conventionally,…
Community structures in simplicial complexes: an application to wildlife corridor designing in Central India -- Eastern Ghats landscape complex, India
Saurabh Shanu, Shashankaditya Upadhyay, Arijit Roy +2
The concept of simplicial complex from Algebraic Topology is applied to understand and model the flow of genetic information, processes and organisms between the areas of unimpaire…