Spectral clustering is widely used to partition graphs into distinct modules or communities. Existing methods for spectral clustering use the eigenvalues and eigenvectors of the graph Laplacian, an operator that is closely associated with random walks on graphs. We propose a spectral partitioning method that exploits the properties of epidemic diffusion.
View Article and Find Full Text PDFPhys Rev E Stat Nonlin Soft Matter Phys
August 2012
Network structure is a product of both its topology and interactions between its nodes. We explore this claim using the paradigm of distributed synchronization in a network of coupled oscillators. As the network evolves to a global steady state, nodes synchronize in stages, revealing the network's underlying community structure.
View Article and Find Full Text PDFPhys Rev E Stat Nonlin Soft Matter Phys
June 2011
A variety of metrics have been proposed to measure the relative importance of nodes in a network. One of these, alpha-centrality [P. Bonacich, Am.
View Article and Find Full Text PDFInt J Ayurveda Res
July 2010
Objective: To study the efficacy of Kumbhajatu in reducing the cholesterol levels and as an antioxidant in hypercholesterolemic rats.
Materials And Methods: Hypercholesterolemia was induced in normal rats by including 2% w/w cholesterol, 1% w/w sodium cholate and 2.5% w/w coconut oil in the normal diet.