Improved Fair-Zone technique using Mobility Prediction in WSN

The self-organizational ability of ad-hoc Wireless Sensor Networks (WSNs) has led them to be the most popular choice in ubiquitous computing. Clustering sensor nodes organizing them hierarchically have proven to be an effective method to provide better data aggregation and scalability for the sensor network while conserving limited energy. It has some limitation in energy and mobility of nodes. In this paper we propose a mobility prediction technique which tries overcoming above mentioned problems and improves the life time of the network. The technique used here is Exponential Moving Average for online updates of nodal contact probability in cluster based network.Comment: 10 pages, 7 figures, Published in International Journal Of Advanced Smart Sensor Network Systems (IJASSN

IOT – Attacks and Challenges

Internet of Things (IoT) is becoming a big boom in the wireless networking. This is connectivity among different entities or things. As the devices are directly connected to each other to share the information there occurs a challenging issues in security.This is a study paper which focuses on the vulnerabilities and various attacks in each layer of the IoT

A comparative study of clusterhead selection algorithms in wireless sensor networks

In Wireless Sensor Network, sensor nodes life time is the most critical parameter. Many researches on these lifetime extension are motivated by LEACH scheme, which by allowing rotation of cluster head role among the sensor nodes tries to distribute the energy consumption over all nodes in the network. Selection of clusterhead for such rotation greatly affects the energy efficiency of the network. Different communication protocols and algorithms are investigated to find ways to reduce power consumption. In this paper brief survey is taken from many proposals, which suggests different clusterhead selection strategies and a global view is presented. Comparison of their costs of clusterhead selection in different rounds, transmission method and other effects like cluster formation, distribution of clusterheads and creation of clusters shows a need of a combined strategy for better results.Comment: 12 pages, 3 figures, 5 tables, Int JournaL, International Journal of Computer Science & Engineering Survey (IJCSES) Vol.2, No.4, November 201

Lih Wang and Dittert Conjectures on Permanents

Let $\Omega_n$ denote the set of all doubly stochastic matrices of order $n$. Lih and Wang conjectured that for $n\geq3$, per$(tJ_n+(1-t)A)\leq t$per$J_n+(1-t)$per$A$, for all $A\in\Omega_n$ and all $t \in [0.5,1]$, where $J_n$ is the $n \times n$ matrix with each entry equal to $\frac{1}{n}$. This conjecture was proved partially for $n \leq 5$. \\ \indent Let $K_n$ denote the set of non-negative $n\times n$ matrices whose elements have sum $n$. Let $\phi$ be a real valued function defined on $K_n$ by $\phi(X)=\prod_{i=1}^{n}r_i+\prod_{j=1}^{n}c_j$ - per$X$ for $X\in K_n$ with row sum vector $(r_1,r_2,...r_n)$ and column sum vector $(c_1,c_2,...c_n)$. A matrix $A\in K_n$ is called a $\phi$-maximizing matrix if $\phi(A)\geq \phi(X)$ for all $X\in K_n$. Dittert conjectured that $J_n$ is the unique $\phi$-maximizing matrix on $K_n$. Sinkhorn proved the conjecture for $n=2$ and Hwang proved it for $n=3$. \\ \indent In this paper, we prove the Lih and Wang conjecture for $n=6$ and Dittert conjecture for $n=4$.Comment: 15 page

Permanental Mates: Perturbations and Hwang’s conjecture

AbstractLet Ωn denote the set of all n×n doubly stochastic matrices. Two unequal matrices A and B in Ωn are called permanental mates if the permanent function is constant on the line segment tA+(1−t)B,0≤t≤1, connecting A and B. We study the perturbation matrix A+E of a symmetric matrix A in Ωn as a permanental mate of A. Also we show an example to disprove Hwang’s conjecture, which states that, for n≥4, any matrix in the interior of Ωn has no permanental mate

Every Elementary Graph is Chromatic Choosable

Elementary graphs are graphs whose edges can be colored using two colors in such a way that the edges in any induced $P_3$ get distinct colors. They constitute a subclass of the class of claw-free perfect graphs. In this paper, we show that for any elementary graph, its list chromatic number and chromatic number are equal