The concept of Zagreb eccentricity indices ( 1 E and 2 E ) was introduced in the chemical graph theory very recently. The eccentric connectivity index ( ) c ξ is a distance-based molecular structure descriptor that was used for mathematical modeling of biological activities of diverse nature. The second geometric-arithmetic index 2 ( ) GA was introduced in 2010, is found to be useful tool in QS...

A topological index is a function having set of graphs as its domain and real numbers range. Here we concentrated on indices involving the number vertices, edges maximum minimum vertex degree. The aim this paper to compute lower upper bounds second Zagreb index, third Hyper Harmonic Redefined first First reformulated Forgotten square F-index, Sum-connectivity Randic Reciprocal Gourava Sombar Ni...

This paper presents 3D-EPUG-OVERLAY, an exact and parallel algorithm for computing the intersection of 3D triangulated meshes, a problem with applications in several fields such as GIS and CAD. 3D-EPUG-OVERLAY presents several innovations: it employs exact arithmetic and, thus, the computations are completely exact, which avoids topological impossibilities that are often created by floating poi...

Efficient implementation of DSP applications are critical for embedded systems. However, current applications written in C, make extensive use of pointer arithmetic making compiler analysis and optimisation difficult. This paper presents a method for conversion of a restricted class of pointer-based memory accesses typically found in DSP codes into array accesses with explicit index functions. ...

In this paper we analyze some of the main properties of a double base number system, using bases 2 and 3; in particular we emphasize the sparseness of the representation. A simple geometric interpretation allows an efficient implementation of the basic arithmetic operations and we introduce an index calculus for logarithmic-like arithmetic with considerable hardware reductions in look-up table ...

New parallel algorithms for parsing arithmetic expressions on mesh-connected, shuffle-connected, cube-connected, and cube-connected cycles models of parallel computation are presented. On the meshconnected computer, the algorithm requires n processors and O(&) time; on the other models, n processors and O(log2 n ) time are required. Index Terns-Arithmetic expressions, parallel processing, parsi...

The logarithm of the Estrada index has been recently proposed as a spectral measure to characterize the robustness of complex networks. We derive novel analytic lower bounds for the logarithm of the Estrada index based on the Laplacian spectrum and the mixing times of random walks on the network. The main techniques employed are some inequalities, such as the thermodynamic inequality in statist...

We show that the outer automorphism group of a polycyclic-by-finite group is an arithmetic group. This result follows from a detailed structural analysis of the automorphism groups of such groups. We use an extended version of the theory of the algebraic hull functor initiated by Mostow. We thus make applicable refined methods from the theory of algebraic and arithmetic groups. We also construc...

In the present study we hypothesized that arterial catecholamine concentrations during rest and 2 laboratory stress tests were independent predictors of blood pressure at an 18-year follow-up. At entry, blood pressure, heart rate, and arterial plasma epinephrine and norepinephrine concentrations were measured in 99 healthy men (age: 19.3+/-0.4 years, mean+/-SD) at rest, during a mental arithmet...