The Fibonacci recurrence of the critical orbit appeared in the work of Branner and Hubbard on complex cubic polynomials [BH, §12] and in Yoccoz's work [Yl, Y2] on quadratic ones, as the "worst" pattern of recurrence. On the other hand, a real quadratic Fibonacci map was suggested by Hofbauer and Keller [HK] as a possible candidate for a map having a "wild" attractor (that is, a set A which is t...

Many properties of special polynomials, such as recurrence relations, sum formulas, and symmetric have been studied in the literature with help generating functions their functional equations. In this paper, using (p,q)–Fibonacci (p,q)–Lucas Changhee numbers, we define (p,q)–Fibonacci–Changhee polynomials (p,q)–Lucas–Changhee respectively. We obtain some important identities relations these new...

In this paper we present how to reconfigure dynamically a complete binary tree in faulty hypercubes. First, we use a dynamic algorithm to reconfigure a complete binary tree of height h (h≥0) in an (h+1)-dimensional faulty hypercube. If there is a faulty node in the hypercube, both the dilation and congestion are 2 after reconfiguration. If there are two faulty nodes in the hypercube, both the d...

Efficient sampling strategies that scale with the size of the problem, computational budget, and users’ needs are essential for various sampling-based analyses, such as sensitivity and uncertainty analysis. In this study, we propose a new strategy, called Progressive Latin Hypercube Sampling (PLHS), which sequentially generates sample points while progressively preserving the distributional pro...

Parallel routing and diameter are two important issues in interconnection networks. The hypercube is one of the most popular interconnection networks for parallel systems due to its attractive properties such as low diameter and efficient parallel routing. The exchanged hypercube, which is a variant of the hypercube by removing some specific edges, remains several desirable properties of the hy...

Advantages of hypercube network and torus topology are used to derive an embedded architecture for product network known as torus embedded hypercube scalable interconnection network. This paper analyzes torus embedded hypercube network pertinent to parallel architecture. The network metrics are used to show how good embedded network can be designed for parallel computation. Network parameter an...