The discontinuous Galerkin (DG) discretization relies on an integral (weak) formulation of the hyperbolic conservation law, which leads to the evaluation of several surface and line integrals for multidimensional problems. An alternative formulation of the DG method is possible under the flux reconstruction (FR) framework, where the equations are solved in differential form and the discretizati...

We give upper bounds on the order of the automorphism group of a simple graph In this note we present some upper bounds on the order of the automorphism group of a graph, which is assumed to be simple, having no loops or multiple edges. Somewhat surprisingly, we did not find such bounds in the literature and the goal of this paper is to fill this gap. As a matter of fact, implicitly such bounds...

Frequency planning consists in allocating frequencies to the transmitters of a cellular network so as to ensure that no pair of transmitters interfere. We study the problem of reducing interference by modeling this by a radio k-labeling problem on graphs: For a graph G and an integer k ≥ 1, a radio k-labeling of G is an assignment f of non negative integers to the vertices of G such that |f(x) ...

The hippocampus makes new memories and is involved in mental cognition, and the hippocampal dentate gyrus (DG) is critical because neurogenesis, which occurs throughout life, occurs in the DG. We observed the differentiation of neuroblasts into mature neurons (granule cells) in the DG of C57BL/6 mice at various early postnatal (P) ages: P1, P7, P14, and P21 using doublecortin (DCX) immunohistoc...

Background: Despite the relative success of surgical resection followed by proton, proton/photon, or conventional radiotherapy in terms of recurrence-free survival, chordomas are still associated with a high rate of recurrence. To our knowledge there are only very few reported cases of this rare tumor detected by F-18 FDG-PET. Materials and Methods: In this case we show the significanc...

2 McAlister F, Laupacis A, Wells G, Sackett D. Users’ guides to the medical literature: XIX. Applying clinical trial results B. Guidelines for determining whether a drug is exerting (more than) a class effect. JAMA 1999;282:1371-7. 3 Bucher HC, Guyatt GH, Griffith LE, Walter SD. The results of direct and indirect treatment comparisons in meta-analysis of randomized controlled trials. J Clin Epi...

This paper presents a novel method of improving Combinatory Categorial Grammar (CCG) parsing using features generated from Dependency Grammar (DG) parses and combined using reranking. Different grammar formalisms have different strengths and different parsing models have consequently divergent views of the data. More specifically, dependency parsers are sensitive to linguistic generalisations t...

The vertex independence number of a graph G is the maximal number of independent vertices in G. The clique number of G is the size of the largest complete subgraph of G. Let !1(v,n,r) denote the class of simple graphs on v vertices having vertex independence number n and clique number r. Let [(v,n,r) == min {dG): G E !1(v,n,r)}, where dG} denotes the number of edges in G, In this paper we study...