Enumeration of Triangles in a Divisor Cayley Graph

In this paper a new class of arithmetic Cayley graphs, namely, divisor Cayley graphs associated with the divisor function d ƒvnƒw , n „d1,an integer is introduced. It is shown that this graph is regular, hamiltonian, connected and not bipartite, and when n is odd it is eulerian. The enumeration of triangles in this graph is also presentedKey words: Arithmetic graph, Cayley graph, Hamilton cycle, Fundamental triangle and Triangle

Neutrosophic Units of Neutrosophic Rings and Fields

In this paper, we studied concrete properties of N(R*, I ) and presented some standard examples with construction of different illustrations and also examine properties of N(R*, I ) satisfied by certain general collections of classical rings and fields

Theory on Duplicity of Finite Neutrosophic Rings

This article introduces the notion of duplex elements of the finite rings and corresponding neutrosophic rings. The authors establish duplex ring Dup(R) and neutrosophic duplex ring Dup(R)I)) by way of various illustrations. The tables of different duplicities are constructed to reveal the comparison between rings Dup(Zn), Dup(Dup(Zn)) and Dup(Dup(Dup(Zn ))) for the cyclic ring Zn . The proposed duplicity structures have several algebraic systems with dissimilar consequences. Author’s characterize finite rings with R + R is different from the duplex ring Dup(R). However, this characterization supports that R + R = Dup(R) for some well known rings, namely zero rings and finite fields

Sensor Network Deployment For Agronomical Data Gathering in Semi-Arid Regions

We share our experience in planning, designing and deploying a wireless sensor network of one square kilometre area. Environmental data such as soil moisture, temperature, barometric pressure, and relative humidity are collected in this area situated in the semi-arid region of Karnataka, India. It is a hope that information derived from this data will benefit the marginal farmer towards improving his farming practices. Soon after establishing the need for such a project, we begin by showing the big picture of such a data gathering network, the software architecture we have used, the range measurements needed for determining the sensor density, and the packaging issues that seem to play a crucial role in field deployments. Our field deployment experiences include designing with intermittent grid power, enhancing software tools to aid quicker and effective deployment, and flash memory corruption. The first results on data gathering look encouragin

Mineralogy and textural features of Settupalle syenites, Prakasm District, Andhra Pradesh

The Settupalle igneous complex is characterised by syenitic variants with distinct mineralogic assemblages. The variable perthitic patterns, nature of plagioclase, fayalite-quartz assemblage in Settupalle syenites clearly suggest that the Settupalle igneous complex has evolved under fluctuating pressure and temperature conditions. The mineral chemistry of K-feldspar and plagioclase suggests that K-feldspar assemblage in these rocks indicates their subsolvus nature. The probable crystallization sequence of rocks is Fayalite Clinopyroxene Syenite (FC-Syenite) - Fayalite Quartz Syenite (FQ-Syenite)-hornblende syenite - quartz syenite - nepheline syenite in that order

Some analogues of phthalein dyes from succinic and maleic acids

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Neutrosophic Graphs of Finite Groups

Most of the real world problems in the fields of philosophy, physics, statistics, finance, robotics, design theory, coding theory, knot theory, engineering, and information science contain subtle uncertainty and inconsistent, which causes complexity and difficulty in solving these problems