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The IUP Journal of Computational Mathematics
December'08
Focus

The third issue of The IUP Journal of Computational Mathematics features five research articles that focus on the strength of effectiveness of mathematical modeling, optimization techniques and computational algorithms to pursue research of leading quality.

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Graceful Labeling of Some Classes of Diameter Six and Diameter Seven Trees
Reconstruction of Phylogenetic Tree of Some Selected Housekeeping Proteins Using Distance Based Methods
Load-Flow Analysis of Radial Distribution Networks
Minimization of Keane's Bump Function by the Repulsive Particle Swarm and the Differential Evolution Methods
Application of Homotopy Perturbation Method for Two Coupled Scalar Fields
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Graceful Labeling of Some Classes of Diameter Six and Diameter Seven Trees

-- Debdas Mishra and Pratima Panigrahi

This paper gives a graceful labeling to some new classes of diameter six and diameter seven trees using the concept of joining isomorphic copies of a tree (Koh and Tan, 1979; and Chen Wen-Chin et al., 1997). Graceful Labeling of Some Classes of Diameter Six and Diameter Seven Trees Debdas Mishra and Pratima Panigrahi This paper gives a graceful labeling to some new classes of diameter six and diameter seven trees using the concept of joining isomorphic copies of a tree (Koh and Tan, 1979; and Chen Wen-Chin et al., 1997).

Article Price : Rs.50

Reconstruction of Phylogenetic Tree of Some Selected Housekeeping Proteins Using Distance Based Methods

-- Veeky Baths, M Arvind, Uday Kiran and Utpal Roy

Understanding the historical relationship between living organisms has been one of the principal goals of evolutionary research. Phylogeny, i.e., the evolutionary history of a set of organisms, plays a major role in representing and understanding the relationship among various organisms. A phylogenetic tree reconstruction method was developed that detects and reports multiple, topologically distant set of proteins from diverse organisms chosen for the present study. The method is a generalization of the Neighbor-Joining (NJ) method of Nei and Saitou, and affords a more thorough sampling of the solution space by keeping track of multiple partial solutions during its execution. The tree was constructed based on the NJ plot. This report deals a brief account of the various algorithms such as Needleman-Wunsch and distance based methods such as NJ algorithms that have been used to analyze various protein sequences, which perform multiple sequence alignment and construct phylogenetic trees to derive their evolutionary relationship. In the present study, 14 different species starting from fission yeast and nematode to the highest order of chimpanzee and humans were analyzed with as many as eight housekeeping proteins including the tumor suppressor proteins. The results show net divergence of each species from other species. The major findings reveal that humans and chimpanzee are closely related in the proteins like dicer1 and p53, while most other proteins indicate that mouse, chick and humans are closely related in terms of evolution.

Article Price : Rs.50

Load-Flow Analysis of Radial Distribution Networks

-- S Ghosh

This paper presents a simple method to solve the load-flow problem of radial distribution networks. This algorithm easily computes the branch currents, reduces the complexity in computation, exploits the graphical feature of the radial distribution networks and reduces the data preparation. The proposed method is compared with the other methods available in literature to demonstrate its effectiveness with the help of two examples33-node and 69-node radial distribution networks.

Article Price : Rs.50

Minimization of Keane's Bump Function by the Repulsive Particle Swarm and the Differential Evolution Methods

-- S K Mishra

Keane's bump function is considered as a standard benchmark for nonlinear constrained optimization. It is highly multimodal (nonconvex) and its optimum is located at the nonlinear constrained boundary. The paper optimizes Keane's function of different dimensions by the Repulsive Particle Swarm (RPS) and the Differential Evolution (DE) methods of global optimization. The RPS is endowed with intensive local search ability and DE uses the most recent formulation of crossover scheme. It is found that these methods, the DE in particular, are the most effective optimizers.

Application of Homotopy Perturbation Method for Two Coupled Scalar Fields

-- H Jafari, J Sadeghi, M Zabihi and A R Amani

This paper, uses the Homotopy Perturbation Method (HPM) to obtain the soliton solution for two coupled scalar fields. Finally, the fields are plotted in terms of coordinates x and the kink and lump solutions are obtained.

Article Price : Rs.50
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Automated Teller Machines (ATMs): The Changing Face of Banking in India

Bank Management
Information and communication technology has changed the way in which banks provide services to its customers. These days the customers are able to perform their routine banking transactions without even entering the bank premises. ATM is one such development in recent years, which provides remote banking services all over the world, including India. This paper analyzes the development of this self-service banking in India based on the secondary data.

The Information and Communication Technology (ICT) is playing a very important role in the progress and advancement in almost all walks of life. The deregulated environment has provided an opportunity to restructure the means and methods of delivery of services in many areas, including the banking sector. The ICT has been a focused issue in the past two decades in Indian banking. In fact, ICTs are enabling the banks to change the way in which they are functioning. Improved customer service has become very important for the very survival and growth of banking sector in the reforms era. The technological advancements, deregulations, and intense competition due to the entry of private sector and foreign banks have altered the face of banking from one of mere intermediation to one of provider of quick, efficient and customer-friendly services. With the introduction and adoption of ICT in the banking sector, the customers are fast moving away from the traditional branch banking system to the convenient and comfort of virtual banking. The most important virtual banking services are phone banking, mobile banking, Internet banking and ATM banking. These electronic channels have enhanced the delivery of banking services accurately and efficiently to the customers. The ATMs are an important part of a bank’s alternative channel to reach the customers, to showcase products and services and to create brand awareness. This is reflected in the increase in the number of ATMs all over the world. ATM is one of the most widely used remote banking services all over the world, including India. This paper analyzes the growth of ATMs of different bank groups in India.
International Scenario

If ATMs are largely available over geographically dispersed areas, the benefit from using an ATM will increase as customers will be able to access their bank accounts from any geographic location. This would imply that the value of an ATM network increases with the number of available ATM locations, and the value of a bank network to a customer will be determined in part by the final network size of the banking system. The statistical information on the growth of branches and ATM network in select countries.

Indian Scenario

The financial services industry in India has witnessed a phenomenal growth, diversification and specialization since the initiation of financial sector reforms in 1991. Greater customer orientation is the only way to retain customer loyalty and withstand competition in the liberalized world. In a market-driven strategy of development, customer preference is of paramount importance in any economy. Gone are the days when customers used to come to the doorsteps of banks. Now the banks are required to chase the customers; only those banks which are customercentric and extremely focused on the needs of their clients can succeed in their business today.

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