PROCEEDINGS OF THE NATIONAL SEMINAR ON ADVANCES IN ALGEBRA, ANALYSIS AND GRAPH THEORY

Issues

Volume 112, No. 5

Guest Editors

Dr. M. Chandramouleeswaran, Saiva Bhanu Kshatriya College, Aruppukottai, INDIA

All questions and comments should be addressed to one of associated editors of the issues.

Editorial Board

Dr. V. Thiruveni, Saiva Bhanu Kshatriya College, Aruppukottai, INDIA
Dr. A. Tamilselvi, Ramanujan Institute For Advanced Studies in Mathematics, University of Madras, Chennai, INDIA
Dr. P. Muralikrishna, Muthurangam Government Arts College (Autonomous), Vellore, INDIA
Dr. P. Nandakumar, PKIET, Karaikal, INDIA

Sponsored by

UNIVERSITY GRANTS COMMISSION, NEW DELHI

Organized by

Post Graduate and Research Department of Mathematics
Saiva Bhanu Kshatriya College
Aruppukottai, 626101, India

Foreword

Dr. N. Muthuselvan, Principal, Saiva Bhanu Kshatriya College, Aruppukottai, 626101

Greetings to all the participants and faculty members of the Post Graduate and Research Department of Mathematics. The Post Graduate and Research Department of Mathematics, Saiva Bhanu Kshatriya College is functioning since the academic year 1972-1972 with teaching Mathematics for Pre-University Course. In the year 1982-1983 B.Sc., Mathematics course was introduced. The Department started offering M.Sc., programme in Mathematics in the year 1987-1988. It also offers M.Phil., programme in Mathematics as a self-supporting programme since 2007-2008. It has been upgraded into a full-pledged research center from the academic year 2013-2014. Active research is going on the areas of Algebra, Fuzzy Algebra, Analysis and Graph Theory. The University Grants Commission has been kind enough to provide financial assistance to Saiva Bhanu Kshatriya College to hold a National Seminar on Advances in Algebra, Analysis and Graph Theory during January 5-6, 2017. The Proceedings of the Seminar is duly edited and brought out by Dr. M. Chandramouleeswaran, Associate Professor and Head, PG and Research Department of Mathematics of our college as the Organizing Secretary of the Seminar. My best wishes to the faculty members of the department and the participants.

From the Desk of Editors

The Post Graduate and Research Department of Mathematics, Saiva Bhanu Kshatriya College, Aruppukottai has been organizing a National Seminar for the past five years, to focus on the recent innovative developments on various fields of Mathematics. It paved a way for the research scholars and young college teachers to exchange information in different branches of Mathematics with the experts in the field. This year the National Seminar on Advances in Algebra, Analysis and Graph theory was organized during January 05-06, 2017.

The seminar was inaugurated by Prof. Pankaj Srivatsava, Mothilal Nehru National Institute of Technology, Allahabad under the presidentship of Thiru P.V.S.M.N. Gnanasekaran, President, SBK College Managing Board, in the presence of Thiru P.Sankarasekaran, Secretary, SBK College Managing Board. Many distinguished mathematicians from various universities and colleges actively participated in the seminar. There were nine invited speakers and seventeen contributory papers. Some of the talks were of expository nature and some of them contained original work. The topics discussed during the seminar include commutative rings, cryptography, graph theory, fuzzy algebra and fuzzy graphs. This proceedings contains those selected papers presented by the participants at the seminar.

We take this opportunity to thank the Managing Board of Saiva Bhanu Kshatriya College for their constant encouragement to organize the seminar and edit the proceedings. We extend our thanks to Dr.N.Muthuselvan, Principal, Saiva Bhanu Kshatriya College, Aruppukottai for his support and encouragement. It is our pleasant duty to record our sincere thanks to the University Grants Commission, New Delhi for their financial support. Our special thanks to the staff members and research scholars of the Department for their enthusiastic and unstincted support rendered for the successful conduct of the Seminar. We thanks all the participants but for whom the seminar would not have been such a success. Finally, we thank Prof. Sv.Nenov for his help in bringing this proceeding as a special issue of International Journal of Pure and Applied Mathematics (IJPAM).

M. Chandramouleeswaran
Date: Febrauary, 2017