Ising Model on Edge-Dual of Random Networks

We consider Ising model on edge-dual of uncorrelated random networks with arbitrary degree distribution. These networks have a finite clustering in the thermodynamic limit. High and low temperature expansions of Ising model on the edge-dual of random networks are derived. A detailed comparison of the critical behavior of Ising model on scale free random networks and their edge-dual is presented.Comment: 23 pages, 4 figures, 1 tabl

Detection of node group membership in networks with group overlap

Most networks found in social and biochemical systems have modular structures. An important question prompted by the modularity of these networks is whether nodes can be said to belong to a single group. If they cannot, we would need to consider the role of "overlapping communities." Despite some efforts in this direction, the problem of detecting overlapping groups remains unsolved because there is neither a formal definition of overlapping community, nor an ensemble of networks with which to test the performance of group detection algorithms when nodes can belong to more than one group. Here, we introduce an ensemble of networks with overlapping groups. We then apply three group identification methods--modularity maximization, k-clique percolation, and modularity-landscape surveying--to these networks. We find that the modularity-landscape surveying method is the only one able to detect heterogeneities in node memberships, and that those heterogeneities are only detectable when the overlap is small. Surprisingly, we find that the k-clique percolation method is unable to detect node membership for the overlapping case.Comment: 12 pages, 6 figures. To appear in Euro. Phys. J

Comment on: Kinetic Roughening in Slow Combustion of Paper

We comment on a recent Letter by Maunuksela et al. [Phys. Rev. Lett. 79, 1515 (1997)].Comment: 1 page, 1 figure, http://polymer.bu.edu/~hmakse/Home.htm

Tamoxifen and Assymptomatic Endometrial Thickness

Tamoxifen is a first-line agent for adjuvant treatment of estrogen-receptor positive breast cancer, and is used to reduce the risk of this condition in high-risk individuals. Retrospective studies established an association between tamoxifen use, endometrial thickness and endometrial cancer. There have been many attempts to identify an effective screening program for tamoxifen-related endometrial cancer, which have led to the use of transvaginal ultrasound and invasive procedures. The use of a 5mm endometrial cut-off in vaginal ultrasound is known to raise the number of endometrial biopsies with no gain in early cancer diagnosis. A review of the scientific literature was performed in order to establish the best available evidence for endometrial evaluation of asymptomatic breast cancer patients on tamoxifen