Sergey A. Orshanskiy

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Recent graph-theoretic approaches have demonstrated remarkable successes for ranking networked entities, but most of their applications are limited to homogeneous networks such as the network of citations between publications. This paper proposes a novel method for co-ranking authors and their publications using several networks: the social network(More)
Let M be a PL-manifold of nonnegative curvature that is homeomorphic to a product of two spheres, S × S. We prove that M is a direct metric product of two spheres endowed with some polyhedral metrics. In other words, M is a direct metric product of the surfaces of two convex polyhedra in R. The background of the question is the following. In the Riemannian(More)
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