The unitary Cayley graph Xn has vertex set Zn = {0, 1,…, n-1} and vertices u and v are adjacent, if gcd(uv, n) = 1. In [A. Ilić, The energy of unitary Cayley graphs, Linear Algebra Appl. 431 (2009) 1881–1889], the energy of unitary Cayley graphs is computed. In this paper the Wiener and hyperWiener index of Xn is computed.

the edge versions of reverse wiener indices were introduced by mahmiani et al. veryrecently. in this paper, we find their relation with ordinary (vertex) wiener index in somegraphs. also, we compute them for trees and tuc4c8(s) naotubes.

This paper deals with the expectation of monomials respect to stochastic area integral $A_{1,2}(t,t+h)=\int_{t}^{t+h}\int_{t}^{s}{\rm d} W_{1}(r){\rm W_{2}(s) -\int_{t}^{t+h}\int_{t}^{s}{\rm W_{2}(r){\rm W_{1}(s)$ and increments two Wiener processes, $\Delta{W}_{i}(t,t+h)=W_{i}(t+h)-W_{i}(t),\ i=1,2$. In a monomial, if exponent one or is an odd number, then monomial zero. However, any them even...

The microalgae community structure in an aquatic ecosystem is strongly influenced by environmental factors. One of the rivers Indonesia, located inhe island Lombok, West Nusa Tenggara, Jangkok River. River widely used residents for activities, including industry, cultivation, waste disposal, and others. This study aimed to determine research was carried out with exploration descriptive method q...

Characteristical problem of multidimensional signal analysis and restoration is processing of extremely big amounts of data as well as handling of data dependancies in more than one direction. The problem of restoration can often be described as an ill-conditioned problem. In the following paper, an algebraic approach to two-dimensional image filtering will be presented. The Wiener solution wil...

Sediment dynamics and the hydrodynamics of the environment cause the complexity and variability in animal-sediment relationship, both in spatial and temporal. This study is focused on the response of macrobenthic fauna to environmental disturbance caused by fish farming using their trophic structure. Their changes in trophic structure can be used as an indicator of disturbance. Eight control si...

Let G and H be connected graphs. The tensor product G + H is a graph with vertex set V(G+H) = V (G)  V(H) and edge set E(G + H) ={(a , b)(x , y)| ax ∈ E(G) & by ∈ E(H)}. The graph H is called the strongly triangular if for every vertex u and v there exists a vertex w adjacent to both of them. In this article the tensor product of G + H under some distancebased topological indices are investiga...

A simpliied way of deriving of realizable and explicit Wiener lters is presented. Discrete time problems are discussed, in a polynomial equation framework. Optimal lters, predictors and smoothers are calculated by means of spectral factorizations and linear polynomial equations. A new tool for obtaining these equations, for a given problem structure, is described. It is based on evaluation of o...

This paper develops and illustrates a new maximum-likelihood based method for the identification of Hammerstein–Wiener model structures. A central aspect is that a very general situation is considered wherein multivariable data, non-invertible Hammerstein and Wiener nonlinearities, and coloured stochastic disturbances both before and after the Wiener nonlinearity are all catered for. The method...

The Wiener index of a graph is the sum of the distances between all pairs of vertices, it has been one of the main descriptors that correlate a chemical compound’s molecular graph with experimentally gathered data regarding the compound’s characteristics. In [1], the tree that minimizes the Wiener index among trees of given maximal degree is studied. We characterize trees that achieve the maxim...