We prove a new sufficient condition for a cubic 3-connected planar graph to be Hamiltonian. This condition is most easily described as a property of the dual graph. Let G be a planar triangulation. Then the dual G∗ is a cubic 3-connected planar graph, and G∗ is bipartite if and only if G is Eulerian. We prove that if the vertices of G are (improperly) coloured blue and red, such that the blue v...

0. Introduction 336 1. Main results 337 1.1. Semisimple groups 337 1.2. Factorization problem 338 1.3. Total positivity 339 1.4. Generalized minors 339 1.5. The twist maps 340 1.6. Formulas for factorization parameters 341 1.7. Total positivity criteria 343 1.8. Fundamental determinantal identities 343 2. Preliminaries 344 2.1. Involutions 344 2.2. Commutation relations 345 2.3. Generalized det...

BACKGROUND The World Health Organization (WHO) classification of hematologic malignancies, published in 2000, was designed to improve diagnostic accuracy by incorporating the latest in scientific understanding. The impact of the WHO classification on the frequency of diagnostic discrepancy in lymphoma is unknown. METHODS We reviewed all second-opinion pathology of lymphoma at our National Can...

Richard S. Gross (Jet Propulsion laboratory, California institute of Technology, 4800 Oak Grove Drive, Pasadena, CA 91 109; ph: 1-818-354-4010; fx: 1-818-393-6890; email: Richard [email protected]. gov) Yi Chao (Jet Propulsion Laboratory, California Institute of Teclmology, 4800 Oak Grove Drive, Pasadena, CA 91 109; ph: 1-818-354-8168; fx: 1-81 8-393-6720; email: [email protected]. gov) Steven L. ...

Abstract Introduction Differential attainment (DA), according to the General Medical Council (GMC), is gap between levels in different groups. Attainment measures should cover aspects that include academic performance and career progression. Two such areas surgical training are MRCS examinations ARCPs, both of which required for progression a surgery. Our aim was investigation whether socio-eco...

Between the years 1958 and 1967, 354 patients with gout were examined personally at Hammersmith Hospital (257 cases seen between 1958 and 1967), and more recently at the Charing Cross and West London Hospitals (97 cases seen during 1966 and 1967). This paper describes a retrospective computer-assisted analysis of these patients. Some of them were followed for considerable periods of time by our...

Relationships between student approaches to learning and learning outcomes were explored in a population of fi rst year students studying anatomy in a medical program off ered by a research intensive Australian university. An online survey version of the Study Process Questionnaire (Biggs et al, 2001), examination scripts and student results were the source data for this study. Th ese students ...

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