The r-parity tensor of a graph is a generalization of the adjacency matrix, where the tensor’s entries denote the parity of the number of edges in subgraphs induced by r distinc...
A d-regular graph has largest or first (adjacency matrix) eigenvalue 1 = d. In this paper we show the following conjecture of Alon. Fix an integer d > 2 and a real > 0. Then...
PageRank is defined as the stationary state of a Markov chain depending on a damping factor that spreads uniformly part of the rank. The choice of is eminently empirical, and in...