Reserved Domination Number of Line Graph

The reserved dominating set is special up gradation of domination set; where in some of the vertices in the vertex set have special privilege (reserved) to appear in the Dominating set irrespective of their adjacency due to the necessity of the user. The minimum cardinality of a reserved dominating set of G is called the reserved domination number of G and is denoted by R(k) -Y(G) where k is the number of reserved vertices. In this paper reserved domination number of (LPn), (LCn), L(Sn), L(Bm,n), L(Wn) and L(F l,n ) have been found

Stochastic resonance with different periodic forces in overdamped two coupled anharmonic oscillators

We study the stochastic resonance phenomenon in the overdamped two coupled anharmonic oscillators with Gaussian noise and driven by different external periodic forces. We consider (i) sine, (ii) square, (iii) symmetric saw-tooth, (iv) asymmetric saw-tooth, (v) modulus of sine and (vi) rectified sinusoidal forces. The external periodic forces and Gaussian noise term are added to one of the two state variables of the system. The effect of each force is studied separately. In the absence of noise term, when the amplitude $f$ of the applied periodic force is varied cross-well motion is realized above a critical value ($f_{\mathrm{c}}$) of $f$. This is found for all the forces except the modulus of sine and rectified sinusoidal forces.Stochastic resonance is observed in the presence of noise and periodic forces. The effect of different forces is compared. The logarithmic plot of mean residence time $\tau_{\mathrm{MR}}$ against $1/(D - D_{\mathrm{c}})$ where $D$ is the intensity of the noise and $D_{\mathrm{c}}$ is the value of $D$ at which cross-well motion is initiated shows a sharp knee-like structure for all the forces. Signal-to-noise ratio is found to be maximum at the noise intensity $D=D_{\mathrm{max}}$ at which mean residence time is half of the period of the driving force for the forces such as sine, square, symmetric saw-tooth and asymmetric saw-tooth waves. With modulus of sine wave and rectified sine wave, the $SNR$ peaks at a value of $D$ for which sum of $\tau_{MR}$ in two wells of the potential of the system is half of the period of the driving force. For the chosen values of $f$ and $\omega$, signal-to-noise ratio is found to be maximum for square wave while it is minimum for modulus of sine and rectified sinusoidal waves.Comment: 13 figures,27 page

Emergency Management Information Frameworks for Spatial-alert Iterative Integration

Information frameworks are assuming progressively more imperative part in current emergency administration handle. A coordinated framework with abilities like foreknowledge, forecast and choice bolster capacities can give considerable included an incentive to leaders both strategic and arrangement making levels. It is however a testing errand to consistently incorporate different frameworks with devoted functionalities on useful and specialized angles, particularly when these frameworks are produced autonomously from each other with considerably extraordinary plan method of reasoning and programming innovation. In this paper, an iterative framework coordination approach is proposed by fitting administration situated, show driven and nimble framework improvement. A few outline standards and best practices from the product building group are received to encourage the incorporation undertaking. Furthermore, additional consideration is paid to give upgraded support to incorporating spatial information into the emergency administration work process. This approach means to give a commonsense framework reconciliation philosophy to incorporate emergency management information frameworks in a more compelling and proficient form

Innovative Application Development of Consumer Loyalty Management Schemes

In the current economic conditions, the utilization of present day techniques in innovation project management is a main thrust of development framework improvement. One of the key positions in the advancement extend administration is commercialization of innovative work comes about. The commercialization of innovative work results is unequivocally connected to the marketing of innovations. The primary part of creative promoting is client devotion keeping up. The point of the article is to consider and dissect the likelihood of use the techniques for client dedication administration to the region of inventive project administration, to consider and propose the product items that permits tackling the issue of overseeing consumer loyalty for imaginative projects utilizing the near investigation strategy and technique for expert assessment