Indian Institute of Technology Palakkad&nbsp;(IIT Palakkad or IIT PKD) is a public autonomous&nbsp;engineering&nbsp;and&nbsp;research&nbsp;institute located in&nbsp;Palakkad,&nbsp;Kerala. It was&nbsp;one of the five new&nbsp;IITs&nbsp;proposed in the&nbsp;2014 Union budget of India. The campus was inaugurated on 3 August 2015. The institute has 94 faculty, 978 students, and 63 non-teaching staffs.

IT Palakkad currently offers four-year Bachelor of Technology (B.Tech) and two years MS programmes in 8 different engineering disciplines including&nbsp;Computer Science, Electrical, Mechanical, Civil among others.

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IIT Palakkad

Due to intermittent connectivity among nodes in mobile opportunistic networks, the direct packet delivery strategy often experiences large delays. To alleviate this problem, nodes often pass a copy of their message to relay nodes, which in turn could deliver it to the destination. In this setting, we consider the problem of relay selection that minimizes the mean delivery delay. Applying ideas from a renewal theory, we derive a closed-form expression for the mean delivery delay in a heterogeneous network under any probabilistic two-hop relay selection policy. Utilizing this expression, a policy that assures the least mean delivery delay can be obtained as a solution of a linear program (the time complexity of mathcal O(n3). However, exploiting the structure of the mean delay minimization problem, we compute an optimal solution using an algorithm with linearithmic ( O(n log n)) time complexity. © 1997-2012 IEEE.

World University root node

Department of Computer Science and Engineering

IEEE Communications Letters

Forwarding in heterogeneous mobile opportunistic networks

Diamond burnishing is one of the most popular surface finishing technique used to achieve an excellent surface finish. The aim of the present study is to investigate the effect of process parameters in diamond burnishing of 17-4 PH stainless steel (PH SS) under cryogenic environment. The requirement of a sustainable environment for various machining processes urged to explore the importance of cryogenic burnishing over other cooling techniques. Surface modification was achieved by the application of liquid nitrogen (LN2) during diamond burnishing. The process parameters considered to reduce the surface roughness (Ra) and increase the surface hardness (H) are burnishing speed, burnishing feed and burnishing force. The diamond burnishing experiments were conducted based on the L9 orthogonal array. The significant parameters and the optimal level of each parameters were determined by using analysis of variance (ANOVA) and main effect plots respectively. Multi-response optimization has been carried out for cryogenic diamond burnishing of 17-4 PH stainless steel by using Taguchi's grey relation analysis (TGRA). From the TGRA, it was observed that at burnishing speed 73 m min-1, burnishing feed 0.048 mm/rev and burnishing force 150 N, improved diamond burnishing performance characteristics were obtained. An improvement in grey relation grade (GRG) was found to be 38.47%. Cryogenic diamond burnishing has led to modifications in the microstructure and also an improvement in the subsurface hardness of the material. © 2018 IOP Publishing Ltd.

Department of Mechanical Engineering

Fulltext

Materials Research Express

Experimental evaluation of diamond burnishing for sustainable manufacturing

The Gelfand–Mazur Theorem, a very basic theorem in the theory of Banach algebras states that: (Real version) Every real normed division algebra is isomorphic to the algebra of all real numbers R, the complex numbers C or the quaternions H; (Complex version) Every complex normed division algebra is isometrically isomorphic to C. This theorem has undergone a large number of generalizations. We present a survey of these generalizations and also discuss some closely related unsettled issues. © 2017 Elsevier GmbH

Department of Mathematics

Expositiones Mathematicae

Gelfand–Mazur Theorems in normed algebras: A survey

Department of Civil Engineering

10th Asian Rock Mechanics SymposiumAt: Singapore

Strength Behaviour of Anisotropic Rock Under True Triaxial Stress State

We study the geometric properties of the terms of the Goldman bracket between two free homotopy classes of oriented closed curves in a hyperbolic surface. We provide an obstruction for the equality of two terms in the Goldman bracket, namely if two terms in the Goldman bracket are equal to each other then for every hyperbolic metric, the angles corresponding to the intersection points are equal to each other. As a consequence, we obtain an alternative proof of a theorem of Chas, i.e., if one of the free homotopy classes contains a simple representative then the geometric intersection number and the number of terms (counted with multiplicity) in the Goldman bracket are the same. © 2018, University at Albany. All rights reserved.

New York Journal of Mathematics

Equal angles of intersecting geodesics for every hyperbolic metric

Irreducible Artin groups of finite type can be parametrized via their associated Coxeter diagrams into six sporadic examples and four infinite families, each of which is further parametrized by the natural numbers. Within each of these four infinite families, we investigate the relationship between elementary equivalence and isomorphism. For three out of the four families, we show that two groups in the same family are equivalent if and only if they are isomorphic; a positive, but weaker, result is also attained for the fourth family. In particular, we show that two braid groups are elementarily equivalent if and only if they are isomorphic. The 1 fragment suffices to distinguish the elementary theories of the groups in question. As a consequence of our work, we prove that there are infinitely many elementary equivalence classes of irreducible Artin groups of finite type. We also show that mapping class groups of closed surfaces - a geometric analogue of braid groups - are elementarily equivalent if and only if they are isomorphic. © 2018 World Scientific Publishing Company.

International Journal of Algebra and Computation

Elementary equivalence in Artin groups of finite type

Sound transmission through a fluid-loaded finite perforated panel set in an infinite unperforated rigid baffle is considered. Using a fully coupled formulation in the 2-D wavenumber domain, the transmitted pressure due to an incident plane wave is obtained. The change in the panel resonances caused by the perforations is accounted for. The formulation also takes into account the self- and inter-modal coupling coefficients arising due to the fluid-loading effect. The derivation is almost entirely analytical with numerical computations done at the very end. Transmission loss (TL) curves are plotted for various cases and the physics is discussed. Along the way an uncoupled calculation is also done for the sake of comparison. The results are mainly for a light medium like air. For a light medium, in general, the perforate impedance is lower than the panel impedance. Thus, most of the transmission happens through the perforations. The panel velocity contribution is insignificant and hence the uncoupled calculation is adequate. In general, the absolute perforate impedance increases with increasing frequency. So does the TL. At low frequencies, because the resistive component of the hole impedance increases, the absolute perforate impedance rises. Thus, the TL curves rise at the lower frequencies. This effect is prominent for sub-millimeter hole radii, i.e., for micro-perforations. An important issue with the TL values for perforated panels is that they sometimes acquire negative values at low frequencies. This apparent anomaly is resolved by showing that at low frequencies there is an additional power component that flows from the baffle region onto the panel. Upon inclusion of this additional term, the TL values remain positive at all frequencies. © 2017 Elsevier Ltd

Journal of Sound and Vibration

Sound transmission through a finite perforated panel set in a rigid baffle: A fully coupled analysis

The boxicity of a graph G(V,E) is the minimum integer k such that G can be represented as the intersection graph of axis parallel boxes in Rk. Cubicity is a variant of boxicity, where the axis parallel boxes in the intersection representation are restricted to be of unit length sides. Deciding whether the boxicity (resp. cubicity) of a graph is at most k is NP-hard, even for k=2 or 3. Computing these parameters is inapproximable within O(n1−ϵ)-factor, for any ϵ&gt;0 in polynomial time unless NP=ZPP, even for many simple graph classes. In this paper, we give a polynomial time κ(n) factor approximation algorithm for computing boxicity and a κ(n)⌈loglogn⌉ factor approximation algorithm for computing the cubicity, where κ(n)=2nloglogn∕logn. These o(n) factor approximation algorithms also produce the corresponding box (resp. cube) representations. As a special case, this resolves the question posed by Spinrad (2003) about polynomial time construction of o(n) dimensional box representations for boxicity 2 graphs. Other consequences of our approximation algorithm include O(κ(n)) factor approximation algorithms for computing the following parameters: the partial order dimension (poset dimension) of finite posets, the interval dimension of finite posets, minimum chain cover of bipartite graphs, Ferrers dimension of digraphs and threshold dimension of split graphs and co-bipartite graphs. Each of these parameters is inapproximable within an O(n1−ϵ)-factor, for any ϵ&gt;0 in polynomial time unless NP=ZPP and the algorithms we derive seem to be the first o(n) factor approximation algorithms known for all these problems. We note that obtaining a o(n) factor approximation for poset dimension was also mentioned as an open problem by Felsner et al. (2017). In the second part of this paper, parameterized approximation algorithms for boxicity using various edit distance parameters are derived. We also present a parameterized approximation scheme for cubicity, using minimum vertex cover number as the parameter. © 2017 Elsevier B.V.

Discrete Applied Mathematics

Sublinear approximation algorithms for boxicity and related problems

The increasing demand for high-performance applications along with the advancement of technology, leading to power hungry manycore processors and rising chip temperature, have made the devices increasingly susceptible to wearout and aging resulting in early failure of the processing cores. The systemlevel analysis and optimization techniques offer a holistic view and ample opportunities to address lifetime reliability challenges, that can be explored and evaluated with the help of a fast and accurate simulation environment. This paper presents LifeSim, a simulation tool that integrates i) a state-of-The-Art manycore simulator, ii) a thermal simulator and iii) a lifetime reliability analyzer. The simulation tool is easily configurable without any code modification and compilation, with the help of a configuration file. To facilitate the development of solutions to mitigate aging and improve lifetime reliability, we enhanced the simulator with scheduling and frequency control features. It offers both preemptive and non-preemptive scheduling along with an interface for dynamic voltage frequency scaling (DVFS). Further, it logs statistics such as power, temperature, aging, and mean time to failure (MTTF) and also generates graphs for visualization and easy comparison of the performance of the solution adopted by the user. © 2018 IEEE.

2018 IEEE 8th Annual Computing and Communication Workshop and Conference, CCWC 2018

LifeSim: A lifetime reliability simulator for manycore systems

Long-term behavior of a granular material under repeated loading plays a vital role to understand the behavior of rutting in pavements. Many researchers observed the behavior of permanent strain accumulation in the granular material under cyclic loading condition. The permanent deformation of granular material caused by numerous factors varies with the degree of each factor influence on granular material. This paper summarizes and discusses the impact of individual factors on permanent deformation of granular material through reference to published scientific data. As well, this paper outlines the different constitutive models to find the permanent strain and discusses the permanent strain modelling using shakedown theory. © 2018, Indian Journal of Public Health Research and Development. All rights reserved.