The Manhattan product of digraphs

The Manhattan product of digraphs

Blog Article

We study the main properties of a new product of bipartite digraphs which we call Manhattan product.This product allows us to understand the subjacent product in the Manhattan street Assessment of the quality of the healing process in experimentally induced skin lesions treated with autologous platelet concentrate associated or unassociated with allogeneic mesenchymal stem cells: preliminary results in a large animal model networks and can be used to built other networks with similar good properties.It is shown that if all the factors of such a product are (directed) cycles, then the digraph obtained is a Manhattan street network, a widely studied topology for modeling some interconnection networks.

To this respect, it is proved that many properties of these networks, such as high symmetries, reduced diameter and the presence of Hamiltonian cycles, are shared by the Manhattan product of some digraphs.Moreover, we show that the Manhattan product of two Manhattan streets networks is also a Manhattan street network.Finally, some sufficient Phishing page detection via learning classifiers from page layout feature conditions for the Manhattan product of two Cayley digraphs to be also a Cayley digraph are given.

Throughout our study we use some interesting recent concepts, such as the unilateral distance and related graph invariants.