In this paper, we give a combinatorial characterization of the special graphs of fat Hoffman graphs containing K1,2 with smallest eigenvalue greater than −3, where K1,2 is the Hoffman graph having one slim vertex and two fat vertices.

The following question was recently raised by A. J. Hoffman [2]: "If P is a d-polytope, i>0 an integer and &,••*, C* closed convex sets in P, such that every /-flat that meets P meets Uf=i d; do there exist polytopes Di, • • • , Dk, with DiQd for all 1 ̂ i^k, such that if a ¿-flat meets P, it meets Uf_x 7>,?" The purpose of this note is to give a counterexample to this conjecture, with d = 3, t ...

For a compact space X we consider extending endomorphisms of the algebra C(X) to be endomorphisms of Arens-Hoffman and Cole extensions of C(X). Given a non-linear, monic polynomial p ∈ C(X)[t], with C(X)[t]/pC(X)[t] semi-simple, we show that if an endomorphism of C(X) extends to the Arens-Hoffman extension with respect to p then it also extends to the simple Cole extension with respect to p. We...

This document describes a framework for preparing text strings in order to increase the likelihood that string input and string comparison work in ways that make sense for typical users throughout the world. The stringprep protocol is useful for protocol identifier values, company and personal names, internationalized domain names, and other text strings. This document does not specify how prot...

This document provides a glossary of terms used in the IETF when discussing internationalization. The purpose is to help frame discussions of internationalization in the various areas of the IETF and to help introduce the main concepts to IETF participants.

PURPOSE In recent times, there has been great interest in the use of Geiger-mode avalanche photodiodes (GAPDs) as scintillator readout in positron emission tomography (PET) detectors because of their advantages, such as high gain, compact size, low power consumption, and magnetic field insensitivity. The purpose of this study was to develop a novel PET system based on GAPD arrays for brain imag...

background: the heterogeneous composition of the human body presents numerous tissue types and cavities with widely differing radiologic properties. the aim of the present work was to develop a low cost homogeneous and heterogeneous phantom and the absorbed dose were measured by ionization chamber for different radiotherapy treatment techniques and compared with treatment planning system absorb...

background long-term clinical symptoms and functional status of above-knee amputees are not well documented. this study documents the long-term outcomes of war related above-knee amputations. objective to study the long-term outcomes of unilateral above-knee amputation. materials and methods the study consisted of a comprehensive assessment, examination, and review of history and wartime medica...