The ROSE algebra, defined earlier, is a system of spatial data types for use in spatial database systems. It offers data types to represent points, lines, and regions in the plane together with a comprehensive set of operations; semantics of types and operations have been formally defined. Values of these data types have a quite general structure, e.g. an object of type regions may consist of s...

This paper clarifies the relation between synchronization and graph topology. Applying the Connection Graph Stability method developed by Belykh et al. [2004a] to the study of synchronization in networks of coupled oscillators, we show which graph properties matter for synchronization. In particular, while we explicitly link the stability of synchronization with the average path length for a wi...

background: rose bengal is a common test for serologic diagnosis of brucellosis. the aim of this study was to evaluate the agreement rate between modified rose bengal, rose bengal and rapid wright tests for detection of antibody positive serum samples.  methods: c ross section study was designed. 941 serum sample of patients referred to the central medical laboratory of kermanshah, were evaluat...

A graph theoretic process that models level-based, incomplete LU factorization (ILU(`)) of sparse unsymmetric matrices is developed. The model leads to two incomplete fill path theorems that are generalizations of the original fill path theorem of Rose, Tarjan, and Lueker. Our S-level incomplete fill path theorem leads to the development of new, embarrassingly parallel algorithms for computing ...

The Abstract check box identifies a class that serves as a base class. An abstract class defines operations and states that will be inherited by subclasses. This field corresponds to the abstract class adornment displayed inside the class icon. To toggle the abstract adornment, select or clear the abstract check box in the Class Specification. When you click Abstract and you view the model in B...

Manipulation of granular materials such as sand or rice remains an unsolved problem due to challenges the difficulty defining their configuration modeling and particles interactions. Current approaches tend simplify material dynamics omit interactions between particles. In this paper, we propose use a graph-based representation model interaction rigid bodies manipulating it. This allows plannin...

let $r$ be a commutative ring with identity. let $g(r)$ denote the maximal graph associated to $r$, i.e., $g(r)$ is a graph with vertices as the elements of $r$, where two distinct vertices $a$ and $b$ are adjacent if and only if there is a maximal ideal of $r$ containing both. let $gamma(r)$ denote the restriction of $g(r)$ to non-unit elements of $r$. in this paper we study the various graphi...

We propose a working hypothesis supported by numerical simulations that brain networks evolve based on the principle of the maximization of their internal information flow capacity. We find that synchronous behavior and capacity of information flow of the evolved networks reproduce well the same behaviors observed in the brain dynamical networks of Caenorhabditis elegans and humans, networks of...