WESD--Weighted Spectral Distance for Measuring Shape Dissimilarity

A Method for Defuzzication by Weighted Distance

An iterative approach for estimation of efficiency by weighted distance

Spectral triples of weighted groups

We study spectral triples on (weighted) groups and consider functors between the categories of weighted groups and spectral triples. We study the properties of weights and the corresponding functor for spectral triples coming from discrete weighted groups.

a method for defuzzication by weighted distance

Distance, dissimilarity index, and network community structure.

We address the question of finding the community structure of a complex network. In an earlier effort [H. Zhou, Phys. Rev. E 67, 041908 (2003)], the concept of network random walking is introduced and a distance measure defined. Here we calculate, based on this distance measure, the dissimilarity index between nearest-neighboring vertices of a network and design an algorithm to partition these ...