Let $G$ be a graph with vertex set $V(G)$ and edge set $E(G)$, a vertex labeling $f : V(G)rightarrow mathbb{Z}_2$ induces an edge labeling $ f^{+} : E(G)rightarrow mathbb{Z}_2$ defined by $f^{+}(xy) = f(x) + f(y)$, for each edge $ xyin E(G)$.  For each $i in mathbb{Z}_2$, let $ v_{f}(i)=|{u in V(G) : f(u) = i}|$ and $e_{f^+}(i)=|{xyin E(G) : f^{+}(xy) = i}|$. A vertex labeling $f$ of a graph $G...

Structure Property Correlation methods such as regression analysis and pattern recognition are applied to predict the molecular properties of two members of an ampicillin homologous series. The pentyl and hexyl esters of ampicillin are also evaluated for their similarity to other penicillins by use of multiple regression, contingency tables, cluster analysis, correspondence analysis, self organ...

This paper introduces a new graphing mechanism to allow easy comparison of software performance of the SHA-3 candidates. The new mechanism concisely captures a large amount of performance data without oversimplifying the data. We have integrated this graphing mechanism into our eBASH (ECRYPT Benchmark­ ing of All Submitted Hashes) project. New graphs are automatically posted at the top of http:...

OBJECTIVE Health care researchers have not taken full advantage of the potential to effectively convey meaning in their multivariate data through graphical presentation. The aim of this paper is to translate knowledge from the fields of analytical chemistry, toxicology, and marketing research to the field of medicine by introducing the radar plot, a useful graphical display method for multivari...

This paper reports a robotics-based learning experiement that took place in a school physics class (20 students aged 15). The students worked in groups to construct a robotic vehicle using Lego Mindstorms NXT kit, and then they programmed it to move in linear way first at constant speed, then at constant acceleration and deceleration. Position-time data from each experiement was logged and grap...

The purpose of this study was to explore the effect of a technology-supported learning environment utilizing an interactive whiteboard (IWB) and NuCalc graphing software compared to a traditional direct instruction-based environment on student achievement in graphs of quadratic functions and attitudes towards mathematics and technology. Sixty-five high school graduates attending cram schools (c...

a graceful labeling of a graph g of size n is an injective assignment of integers from {0, 1,..., n} to the vertices of g, such that when each edge of g has assigned a weight, given by the absolute dierence of the labels of its end vertices, the set of weights is {1, 2,..., n}. if a graceful labeling f of a bipartite graph g assigns the smaller labels to one of the two stable sets of g, then f...

objectives: stigma is a negative value. many behaviors are to ward stigmatized people. down syndrome is one of conditions with stigma. the aim of this study is to determine the sources of labeling in iranian down syndrome. methods: the view of 105 down syndrome families concerning stigma were conducted. all of down syndrome was under 50 years. results: a fair proportion of down syndrome familie...