General Operators Associated with Hypergraphs

Aim:

1. Find a unified framework to study seemingly disparate but related notions of operators associated with hypergraphs.

2. Introduce the General diffusion operator and model all the diffusion like processes in hypergraphs.

3. Find relations among the hypergraph properties and the spectra of our introduced general operators.

4. Identify some classes of hypergraphs, such that the spectra of the operators associated with hypergraph can be computed from some easy observations.

5. Find some possible applications of our introduced operators.