Hypergraph products for structural mechanics

4 years 10 months ago
Hypergraph products for structural mechanics
In this paper Cartesian, direct and strong Cartesian product of hypergraphs are investigated. A new concept named the adjacency function is defined on hypergraphs. This definition leads to distinct adjacency and Laplacian matrices for a hypergraph and makes it possible to express it in an algebraic form. Variable adjacency functions on hypergraphs result in generation of dynamic graph products which are applied to dynamic systems. For further clarity, some examples from structural mechanics are provided. The generality of the approach is shown through some examples, indicating this fact that the hypergraph products can encompass most of the available developments on the graph products in the literature.
A. Kaveh, B. Alinejad
Added 13 Apr 2016
Updated 13 Apr 2016
Type Journal
Year 2015
Where AES
Authors A. Kaveh, B. Alinejad
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