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We study the intersection of finitely generated subgroups of free groups by utilizing the method of linear programming. We prove that if H1 is a finitely generated subgroup of a free group F , then the Walter Neumann coefficient σ(H1) of H1 is rational and can be computed in deterministic exponential time of size of H1. This coefficient σ(H1) is a minimal nonnegative real number such that, for ...

The approximation-solvability of a generalized system of nonlinear variational inequalities (SNVI) involving relaxed pseudococoercive mappings, based on the convergence of a system of projection methods, is presented. The class of relaxed pseudococoercive mappings is more general than classes of strongly monotone and relaxed cocoercive mappings. Let K1 and K2 be nonempty closed convex subsets o...

Given graphs H1, . . . ,Hk, let f(H1, . . . ,Hk) be the minimum order of a graph G such that for each i, the induced copies of Hi in G cover V (G). We prove constructively that f(H1,H2) ≤ 2(n(H1) + n(H2) − 2); equality holds when H1 = H2 = Kn. We prove that f(H1,Kn) = n + 2 √ δ(H1)n + O(1) as n → ∞. We also determine f(K1,m−1,Kn) exactly.

The general form of non-entangling unitary maps for measurement schemes is determined. It is shown that any POVM admits a non-entangling measurement. We prove the following. Proposition 1 Let H1,H2 be complex separable Hilbert spaces, φ0 a unit vector in H2. Assume U : H1 ⊗ H2 → H1 ⊗ H2 is a unitary map such that for all φ ∈ H1, U(φ ⊗ φ0) = φ′ ⊗ φ′ for some unit vectors φ′ ∈ H1, φ′ ∈ H2. Then U...

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Two cDNA clones isolated from a HepG2 lambda gt11 library encode the classical asialoglycoprotein receptor, H1, as well as a homologous membrane glycoprotein, H2 (Spiess, M., and Lodish, H.F. (1985) Proc. Natl. Acad. Sci. U.S.A. 82, 6465-6469). To study the relationship of H2 to H1 and its possible role in receptor-mediated endocytosis of desialyated glycoproteins, we generated anti-peptide ant...

The role of endogenous histamine and H1, H2 and H3 central receptors on food intake in broiler chickenswas investigated. For this purpose, a probe was used to manipulate the concentration of endogenoushistamine by intracerebroventricular (ICV) injection of thioperamide, an H3 receptor antagonist, and R-α-methylhistamine, an H3 receptor agonist and subsequently the effects of brain histaminergic...

Antibody-induced degradation and chemical cross-linking experiments have been carried out to assess the nature of the interaction between the two asialoglycoprotein-receptor polypeptides, H1 and H2, synthesized in HepG2 cells. Incubation of HepG2 cell monolayers with anti-H1 antibody caused a specific and equal loss of both H1 and H2 polypeptides. The same result was obtained with anti-H2 antib...