Reliability and efficiency are important criteria in the design of interconnection networks. Recently, the w-wide diameter dw(G), the (w − 1)-fault diameter Dw(G), and the w-Rabin number rw(G) have been used to measure network reliability and efficiency. In this paper, we study dw(G), Dw(G) and rw(G) using the strong w-Rabin number r∗ w(G) for 1 ≤ w ≤ k(G) and G is a circulant network G(dn; {1,...

BACKGROUND To plan prevention programmes for the diabetic renal disease among insulin-dependent diabetes mellitus (IDDM) children, projections of future trends for the disease is crucial. We projected future trends in the number of diabetic renal disease patients among IDDM children and assessed an impact of treatment dissemination in Japan. METHODS We used a Markov model to describe the clin...

In an earlier paper it was argued that two sequences, denoted by {Un} and {Wn}, constitute the sextic analogues of the well-known Lucas sequences {un} and {vn}. While a number of the properties of {Un} and {Wn} were presented, several arithmetic properties of these sequences were only mentioned in passing. In this paper we discuss the derived sequences {Dn} and {En}, where Dn = gcd(Wn − 6R n, U...

a partial set of diallel crosses conducted among seven bread wheat genotypes contain (gasspard,m86-4,m86-6,dn-11,ws82-9 and m86-12) along with 21 hybrid, based on randomized complete block design(rcbd) with three replication were evaluated. the experiment was accomplished in a research field of agriculture and natural research center of tehran province in 2012-2013 in order to study genetic ana...

We study certain quotients of generalized Artin groups which have a natural map onto D-type Artin groups, where the generalized Artin group A(T ) is defined by a signed graph T . Then we find a certain quotient G(T ) according to the graph T , which also have a natural map onto A(Dn). We prove that G(T ) is isomorphic to a semidirect product of a group K(m,n), with the Artin group A(Dn), where ...

Digital Data In a most generalized way, a digital image is an array of numbers depicting spatial distribution of a certain field parameters (such as reflectivity of EM radiation, emissivity, temperature or some geophysical or topographical elevation. Digital image consists of discrete picture elements called pixels. Associated with each pixel is a number represented as DN (Digital Number), that...

Diabetic nephropathy (DN) remains a major complication of diabetes leading to endstage renal disease (ESRD). The number of diabetic patients with ESRD who require renal replacement therapy has been increasing, implicating unsuccessful prevention of diabetic renal complication. This unfavorable outcome reflects insufficient knowledge on pathogenic mechanisms of DN and its detection at late stage...

We re-analyze the age distribution (dN/dt) of star clusters in the Small Magellanic Cloud (SMC) using age determinations based on the Magellanic Cloud Photometric Survey. For ages younger than 3×10 yr the dN/dt distribution can be approximated by a power-law distribution, dN/dt ∝ t , with −β = −0.70±0.05 or −β = −0.84±0.04, depending on the model used to derive the ages. Predictions for a clust...

With the increasing number of electric vehicles, a large charging loads connected to power system will have an impact on economic and safe operation system. In this paper day-ahead optimal dispatching method for distribution network (DN) with fast station (FCS) integrated photovoltaic (PV) energy storage (ES) is proposed deal negative FCS DN. By adjusting load DN through optimization decision E...

The aim of this paper is to study Hopf bifurcation with Dn-symmetry assuming Birkhoff normal form. We consider the standard action of Dn on C. This representation is absolutely irreducible and so the corresponding Hopf bifurcation occurs on C ⊕ C. Golubitsky and Stewart (Hopf bifurcation with dihedral group symmetry: Coupled nonlinear oscillators. In: Multiparameter Bifurcation Series (M. Golub...