Category: Issue 4

Computation of Nirmala Indices of Some Chemical Networks

Department of Mathematics Gulbarga University, Gulbarga 585106 (India)
Department of Mathematics, Bangalore University, Jnana Bharathi Campus, Bangalore-560 056 (India)
Department of Mathematics, Bangalore University, Jnana Bharathi Campus, Bangalore-560 056 (India)


Chemical graph theory is a branch of graph theory whose focus of interest is to finding topological indices of chemical graphs which correlate well with chemical properties of the chemical molecules. In this paper, we compute the Nirmala index, first and second inverse Nirmala indices for some chemical networks like silicate networks, chain silicate networks, hexagonal networks, oxide networks and honeycomb networks along with their comparative analysis.

KEYWORDS: Nirmala index, first and second inverse Nirmala indices,, chemical networks., Mathematics Subject Classification: 05C09, 05C92, 92E10.

Development of Library Components for Floating Point Processor

Department of Electronics, M.G.P.G. College, Gorakhpur (India)
Department of Physics , M.G.P.G. College, Gorakhpur (India)
Department of Physics , M.G.P.G. College, Gorakhpur (India)


This paper deals with development of an n-bit binary to decimal conversion, decimal to n bit binary conversion and decimal to IEEE-754 conversion for floating point arithmetic logic unit (FPALU) using VHDL. Normally most of the industries now a days are using either 4-bit conversion of ALU or 8-bit conversions of ALU, so we have generalized this, thus we need not to worry about the bit size of conversion of ALU. It has solved all the problems of 4-bit, 8-bit, 16-bit conversions of ALU’s and so on. Hence, we have utilized VHSIC Hardware Description Language and Xilinx in accomplishing this task of development of conversions processes of ALU

KEYWORDS: Binary, Decimal conversion, Floating point representation, Simulations and Device Utilization

A Fuzzy type Backlogging Production Inventory Model for Perishable Items with Time Dependent Exponential Demand Rate

Department of Mathematics & Astronomy, University of Lucknow- Lucknow,U. P. (India)


Production inventory models have an important role in production planning and scheduling. In any economic production quantity (EPQ) model, the production rate is dependent on demand. In this paper we have established a production inventory model for perishable items with partial backlogging and time dependent exponential demand rate. Allowing shortage, it is partially backlogged. The unsatisfied demand is backlogged and it is considered a function of waiting time. The aim of our study is to optimizing the total profit during a given cycle. A numerical example is given in showing the applicability of the developed model.

KEYWORDS: Inventory, , Backlogging and Time Dependent Exponential Demand Rate, Perishability, Subject Classification- MSC 2010 (90B05)