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For any two positive integers nr1, the well-known Turán Theorem states that there exists a least positive integer ex(n,Kr) such that every graph with n vertices and ex(n,Kr)+1 edges contains a subgraph isomorphic Buy Nike Free Run 3 to Kr. We determine the minimum number of edges sufficient for the existence of k cliques with r vertices each intersecting in exactly one common vertex.
It is shown that, by using ghost variables, one can develop a covariant operator constraint formalism which maintains a Hilbert space structure and, reproduces the quantised physical theory. The explicit ordering for observables that are linear and quadratic in the momenta is presented.
Zero-knowledge interactive proofs are very promising for user identifications in distributed systems. However, some frauds exist (e.g., the mafia attack) when they are in use. In this paper, a new approach will be proposed to avoid the mafia attack to the extended Fiat-Shamir scheme.
A real matrix A is called S-monotone if S is a complementary Nike Free Run 3 Footlocker Canada subspace of N(A) and if Ax0, x∈S → x0. A is called almost monotone if it is S-monotone for every such S. These types of monotonicity appear in the study of regular splittings for iterative methods. Almost and S-monotonicity are characterized here and are related to six other types of monotonicity.