Design optimization could be very challenging partially due to complexity and non-linearity of the system in consideration. Conventional methods are limited merely to certain operational zones and have unsatisfactory design robustness property. Metaheuristic algorithms are becoming increasingly popular among control engineers. Over the last two decades ,several meta-heuristic algorithms have em...

The problem of complete characterization trees with minimal atom-bond-connectivity index (minimal-ABC trees) is a long-standing open problem. Here firstly, we give an affirmative answer to the conjecture, which states that enough large minimal-ABC are comprised solely root vertex and so-called Dz- Dz+1-branches. Based on presented theoretical results here some already known results, obtain cons...

The atom-bond connectivity index is a useful topological index in studying the stability of alkanes and the strain energy of cycloalkanes. In this paper some inequalities for the atom-bond connectivity index of a series of graph operations are presented. We also prove our bounds are tight. As an application, the ABC indices of C4 nanotubes and nanotori are computed. © 2011 Elsevier B.V. All rig...

Wiener index is a topological index based on distance between every pair of vertices in a graph G. It was introduced in 1947 by one of the pioneer of this area e.g, Harold Wiener. In the present paper, by using a new method introduced by klavžar we compute the Wiener and Szeged indices of some nanostar dendrimers.

The Atom-bond-connectivity index ABC of a graph G is determined by d_i and d_j. In this paper, sharp results for the general which has chemical applications are found using different methods. These new inex investigated in terms its edges, vertices degrees. particular, some relations obtained involving topological indices; Randic index, Zagreb Harmonic Narumi-Katayama index. Indeed, improved he...

Acid-binding capacity (ABC) of a feed is the amount of acid required to reduce the pH of feed to a special level such as 3. All poultry feed ingredients used in this study were collected from feed mills in Iran. The pH and ABC were determined using the standard methods in deionized and magnetized water at room and body temperatures. The pH of most feed ingredients was raised in magnetized water...

The ABC systems are a particular family of Lotka{Volterra systems in dimension 3. Their integrability has been studied these last years by many authors. In this paper we study the ABC systems which are algebraically integrable, i.e. the ABC systems having two independent algebraic rst integrals. For doing this we need to summarize all the known results about the polynomial and rational rst inte...

In this study, an improved method based on evolutionary algorithms for denoising of satellite images is proposed. In this approach, the stochastic global optimisation techniques such as Cuckoo Search (CS) algorithm, artificial bee colony (ABC), and particle swarm optimisation (PSO) technique and their different variants are exploited for learning the parameters of adaptive thresholding function...