ar X iv : 1 10 7 . 07 98 v 2 [ cs . D S ] 1 9 A ug 2 01 1 Generalized Maneuvers in Route Planning

ar X iv : 0 80 8 . 01 63 v 1 [ cs . D S ] 1 A ug 2 00 8 Twice - Ramanujan Sparsifiers ∗

We prove that for every d > 1 and every undirected, weighted graph G = (V, E), there exists a weighted graph H with at most ⌈d |V |⌉ edges such that for every x ∈ IR , 1 ≤ x T LHx x LGx ≤ d + 1 + 2 √ d d + 1 − 2 √ d , where LG and LH are the Laplacian matrices of G and H , respectively.

ar X iv : m at h / 05 01 13 9 v 2 [ m at h . FA ] 1 A ug 2 00 5 Stability of Adjointable Mappings in Hilbert C ∗ - Modules ∗

The generalized Hyers–Ulam–Rassias stability of adjointable mappings on Hilbert C∗-modules is investigated. As a corollary, we establish the stability of the equation f(x)∗y = xg(y)∗ in the context of C∗-algebras.

ar X iv : 1 30 7 . 76 27 v 2 [ he p - ex ] 1 A ug 2 01 3 Combination of CDF and D 0 W - Boson Mass Measurements

ar X iv : h ep - e x / 01 08 02 1 v 1 9 A ug 2 00 1 PROSPECTS FOR HERMES RUN II

Data taking for Run II of the HERMES experiment will start in late 2001 with three main physics objectives for the next 4-5 years: a measurement of transversity distributions , an improved measurement of helicity distributions, and measurements of exclusive reactions to access Generalized Parton Distributions.

ar X iv : d g - ga / 9 50 80 01 v 1 3 A ug 1 99 5 On the L n 2 - norm of Scalar Curvature

Comparisons on L n 2-norms of scalar curvatures between Riemannian metrics and standard metrics are obtained. The metrics are restricted to conformal classes or under certain curvature conditions.