With the emergence of multi-core processors, parallelism has gone main-stream. However, parallel programming is difficult for many reasons. Programmers now must think about which operations can legally be executed in parallel, when to insert synchronizations, and so on. In addition, parallelism and non-determinism nature of it makes debugging much harder. One approach to address this problem is...

This paper proposes a novel optimization framework for the Data-Flow Graph Language (DFGL), a dependence-based notation for macro-dataflow model which can be used as an embedded domain-specific language. Our optimization framework follows a “dependence-first” approach in capturing the semantics of DFGL programs in polyhedral representations, as opposed to the standard polyhedral approach of der...

Polyhedral tilings are often used to represent structures such as atoms in materials, grains in crystals, foams, galaxies in the universe, etc. In the previous paper, we have developed a theory to convert a way of how polyhedra are arranged to form a polyhedral tiling into a codeword (series of numbers) from which the original structure can be recovered. The previous theory is based on the idea...

The tree complex is a simplicial defined in recent work of Belk, Lanier, Margalit, and Winarski with applications to mapping class groups dynamics. This article introduces connection between this setting the convex polytopes known as associahedra cyclohedra. Specifically, we describe characterization these using planar embeddings trees show that barycentric subdivision polyhedral cell for which...

We have demonstrated a new strategy to synthesize Au mesocages using polyhedral Cu(2)O templates. The obtained polyhedral Au mesocages show a strong shape effect in highly sensitive single-particle surface-enhanced Raman spectroscopy (sp-SERS).

In this paper, we prove the existence of acute triangulations for general polyhedral surfaces. We also show how to obtain nonobtuse subtriangulations of triangulated polyhedral surfaces. © 2008 Elsevier Ltd. All rights reserved.