We prove the following results : (a) The Cube-Connected Cycles network of dimension n is a subgraph of the Butterry network of dimension n. (b) The Shuue-Exchange network of dimension n is a subgraph of the DeBruijn network of dimension n.

Necessary and sufficient conditions on n and A are given for the existence an edge-disjoint decomposition of AKn into copies of the graph of a 3-dimensional cube. Also, necessary and sufficient conditions on m, nand>' are given for similar decompositions of >'Km,n'

The fundamental group of a hyperbolic manifold acts on the limit set, giving rise to a cross-product C∗-algebra. We construct nontrivial K-cycles for the cross-product algebra, thereby extending some results of Connes and Sullivan to higher dimensions. We also show how the Patterson-Sullivan measure on the limit set can be interpreted as a center-valued KMS state.

Symmetries of a partial Latin square are primarily determined by its autotopism group. Analogously to the case of Latin squares, given an isotopism Θ, the cardinality of the set PLSΘ of partial Latin squares which are invariant under Θ only depends on the conjugacy class of the latter, or, equivalently, on its cycle structure. In the current paper, the cycle structures of the set of autotopisms...

The purpose of this study was to evaluate the amount and quality of scientific evidence supporting principles that are currently applied for cardiopulmonary bypass (CPB) performance. The scientific data concerning the effectiveness and safety of key principles of cardiopulmonary bypass is insufficient in both amount and quality to serve as a basis for practical, evidence-based guidelines.

The UCLA Academic Senate has completed its review of the UCPB Paper on Differential Fees and Nonresident Tuition. The proposal has been reviewed by our Council on Planning and Budget (CPB), Graduate Council, Undergraduate Council, Committee on Undergraduate Admissions and Relations with Schools, and numerous Faculty Executive Committees (School of Arts and Architecture, School of Theater, Film,...

Slow-fast systems on the two-torus T 2 provide new effects not observed for systems on the plane. Namely, there exist families without auxiliary parameters that have attracting canard cycles for arbitrary small values of the time scaling parameter ε. In order to demonstrate the new effect, we have chosen a particularly simple family, namely ẋ = a − cosx − cos y, ẏ = ε, a ∈ (1, 2) being fixed. T...