Department of Mathematics

Research Center


It is a matter of pride and honour for the department that Acharya Nagarjuna University recognized it as a research centre in March 2004 to offer M. Phil and Ph.D. in mathematics. The recognition has ignited the creative minds of the post graduate students of mathematics and every year two to three students joined for M. Phil and after its completion registered for Ph.D. Dr. N. Prabhakara Rao, Professor & HOD of the department is recognizes as a research director by ANU.

So far under the guidance of Dr. N. Prabhakara Rao, 3 Ph.D"s and 9 M.Phils were awarded through this research centre. Commendable work is being done in algebra ( rings, lattices ) and graph theory(topological indices, magic labelings).Several papers were published in national and international journals and these research students have presented papers in several national and international conferences and symposia.

S.No. Name of the student Year of
Admission
Name of the course Title of the Dissertation Name of the guide Remarks
1 K.  Lavanya     Lakshmi 2004 M. Phil Polars and Annihilators in Seminormal Lattice ordered Autometrized Algebras Dr. N. Prabhakara Rao Awarded in 2006
2 B.S.K. Chaitanya 2004 M. Phil A group theoretical study of second ordered magneto resistance and second order piezoelectricity in quasicrystals Dr. P. Hemagiri Rao Awarded in 2006
3 M. Prasanthi 2004 M. Phil Minimal prime ideals in seminormal lattice ordered autometrized algebras Dr. N. Prabhakara Rao Awarded in 2006
4 P.V. Srinivas 2005 M. Phil On a class of seminormal lattice ordered autometrized algebras Dr. N. Prabhakara Rao Awarded in 2007
5 M. Siva Mala 2005 M. Phil On a Class of Semi lattice ordered  semirings Dr. N. Prabhakara Rao Awarded in 2007
6 K. Kiran Kumar 2005 M. Phil Implicative Semilattices  Dr. N. Prabhakara Rao Awarded in 2010
7 A. Lakshmi Prasanna 2006 M. Phil On Wiener, PI & Szeged indices of penta chains Dr. N. Prabhakara Rao Awarded in 2009
8 K. Sunita 2006 M. Phil On Representable  Autometrized  Algebras Dr. N. Prabhakara Rao Awarded in 2010
9 M. Srujana 2008 M. Phil Randic and Sh indices of certain classes of pentachains. Dr. N. Prabhakara Rao Awarded in 2013
10 P. Srinivasa Rao 2008 M. Phil On  hyper lattices Dr. N. Prabhakara Rao Awarded in 2012
11 K. Lakshmi Lavanya 2008 Ph.D On certain topological indices of phynelynes Dr. N. Prabhakara Rao Awarded in 2014
12 P.V. Srinivas 2008 Ph.D Ideal theory of sum-ordered partial semirings Dr. N. Prabhakara Rao Awarded in 2012
13 N. Karunakar 2008 Ph.D   Dr. N. Prabhakara Rao Registered

The staff members of the department who have registered / Completed Ph.D other than the research centre of the department are :

14 J.Bhaskar Babujee 2000 Ph.D On Graph labellings Dr.N.Prabhakara Rao Awarded in 2004
15 K.V.L.N. Acharyulu 2003 Ph.D A Study on some Mathematical models of Ecological Ammensalism between Multiple Interacting Species. Dr. N. Ch. Pattabhiramacharyulu Awarded in 2011

LIST OF RESEARCH PUBLICATIONS (published/accepted)

Dr. N. Prabhakara Rao


1. (with K.L.N. Swamy) Ideals in Autometrized algebras, The Journal of Australian Mathematical Society,Vol. XXIV, Series A, Part 3, pp. 362-374, 1977.

2. Autometrized Griss Algebras, Math. Seminar Notes, Kobe University, Japan, Vol. 5, pp. 1-21, 1977.

3. Autometrized Griss Algebras II, Math. Seminar Notes, Vol. 5, pp. 151-156, 1977.

4. Generalised Griss Algebras, Math. Seminar Notes, Vol. 5, pp. 261-271, 1977.

5. Brouwerian Semi groups, Mathematical Japanica, Vol 23, No. 1, pp. 49-60, 1978.

6. Seminormal Autometrized Algebras, Math. Seminar Notes, Vol. 6, pp. 91-114, 1978.

7. Representable Griss Algebras Mathematical Japanica, Vol 23, No. 1, pp. 61-69, 1978.

8. Brouwerian Semi groups II, Math. Seminar Notes, Vol. 1, pp. 33-43, 1979.

9. (with J. Baskar Babujee) Complete Bipartite Graphs- Antimagic Property, Proceedings of the National Conference on Mathematical and Computational models, PSG College of Technology, Coambatore, India, 2001.

10. (with J. Baskar Babujee) Edge-Magic Trees, Indian J. Pure appl. Math.33(12), pp. 1837-1840, Dec 2002.

11. (with J. Baskar Babujee) Labellings in Diagraphs, The Mathematics Education, June 2005.

12. (with A. Lakshmi Prasanna) On the Wiener index of Pentachains, Journal of Applied Mathematics Sciences, Vol. 2, No-49, pp. 2443-2457, 2008.

13. (with A. Lakshmi Prasanna) Wiener indices of fused Pentachains, Acta Ciencia Indica, Vol. XXXIVM, No 4, pp. 2065-2084, 2008.

14. (with A. Lakshmi Prasanna) On PI indices of pentachains, Acta Ciencica Indica, Vol. XXXVM, No. 3, pp. 1117-1133, 2009.

15. (with K. Lavanya Lakshmi & A. Lakshmi Prasanna) On the Wiener index of product of path graphs, Proceedings of National Conference on Discrete Mathematics and its Applications, NCDMA 2007, September 27-29, pp. 30-37, 2007.

16. (with K. Lavanya Lakshmi & A. Lakshmi Prasanna) Wiener indices of Pentachains, Proceedings of National Conference on Discrete Mathematics and its Applications, NCDMA 2007, September 27-29, pp. 385-387, 2007.

17. (with K. Lavanya Lakshmi) On the Computation of PI, SZ and S indices of tetragonal systems, Acta Ciencia Indica, Vol. XXXIV M, No. 4, pp. 1753-1766, 2008.

18. (with K. Lavanya Lakshmi) On Wiener, PI indices of multiple Phenylenes, Proceedings of National Conference on Algebra and its Applications with latest trends, VSR & NVR College, Tenali, Sep 11-12, pp. 23-31, 2008.

19. (with K. Lavanya Lakshmi) On PI index of Multiple Phenylenes, International Journal of Combinatorial Graph theory and Applications, Vol. 1, No. 2, pp. 109-116, 2008.

20. (with K. Lavanya Lakshmi) On SZ indices of Multiple Phenylenes, International Journal of Computational Cognition , Vol. 7, No. 3, pp. 44-49, 2009.

21. (with K. Lavanya Lakshmi) On a SVD based Topological Index for Polycenes, accepted for publication in the International Journal of Computational Cognition.

22. (with P. V. Srinivasa Rao) Representable autometrized algebras, Proceedings of National Conference on Discrete Mathematics and Its Applications, pp. 314-317, sep 27-29, 2007.

23. (with P. V. Srinivasa Rao) On a class of seminormal lattice ordered autometrized algebras, Acta Ciencia Indica, Vol. XXXIV M, No.1, pp. 339-344, 2008.

24. (with M. Siva Mala) On a class of semilattice ordered semirings, Acta Ciencia India, Vol XXXIV M, No.1, pp. 345-350, 2008.

Research Publications of students under the guidance of Dr. N. Prabhakara Rao


J. Baskar Babujee

1. (with Dr. N. Prabhakara Rao) Labellings in Diagraphs, The Mathematics Education, June 2005.


N. Karunakar

1. (with N. Prabhakara Rao) PI, Sz, M2 and Sh Indices of Fibonacenes, communicated to the International Journal of Computational cognition.

2. "Eccentric-connectivity, GA, Harary, hyper-Wiener and Wiener Polarity indices of Helicenes communicated to the IJAMC.


K. Lavanya Lakshmi

1. On Wiener Index of Multiple Phenylenes, International Journal of Combinatorial Graph Theory and Applications, Vol. 2, No. 1, pp. 13-18, 2009.

2. A Comparative Study of Topological indices of Benzenoid Graphs, The Global Journal of Applied Mathematical Sciences, Vol. 3, No. 1-2, pp. 15-26, 2010.

3. On FR Index of Phenylenes, International Journal of Computational Cognition, Vol. 8, No. 3, pp. 44-46, September 2010.

4. A Highly Corrected topological index for polyacenes, communicated to the International Journal of Computational cognition.


P. V. Srinivasa Rao

1. Ideals of Sum Ordered Semirings, International journal of Computational Cognition, Vol. 7, No. 2, pp. 59-64, 2009.

2. ø-representation of So-rings, International journal of Computational Cognition, Vol. 7, No. 2, pp. 65-70, 2009.

3. Partial semimodules over partial semirings, International Journal of Computational Cognition(IJCC), Vol. 8, No.4, pp. 80-84, Dec 2010.

4. On prime subsemimodules of Partial semimodules, International Journal of Computational Cognition(IJCC), Vol. 9, No. 2, pp. 40-44, June 2011.

5. On Strongly prime partial semirings, Advances in Algebra, Vol. 3, No.1, pp. 91-96, 2010.

6. Euclidean Partial Semirings, communicated to the Jordan Journal of Mathematics and Statistics (JJMS).


M. Siva Mala

1. (With P.V. Srinivasa Rao) Primary subsemimodules of partial semimodules, communicated to the Kyngpook Mathematical Journal.

2. (With P.V. Srinivasa Rao) On a class of P-primary subsemimodules of partial semimodules, communicated to the International Journal of Computational Cognition(IJCC).


K. Suneetha

1. (with N. Prabhakara Rao & P.V. Srinivasa Rao) Representable autometrized algebras, Proceedings of National Conference on Discrete Mathematics and Its Applications, pp. 314-317, Sep-27-29, 2007.


A. Lakshmi Prasanna

1. (with N. Prabhakara Rao) On PI indices of pentachains, Acta Ciencica Indica, Vol. XXXV M, No. 3, pp. 1117-1133, 2009.


P. Srinivasa Rao

1. Direct Products of Hyperlattices, International Journal of Computational Cognition(IJCC), Vol. 8, No.3. pp. 104-107, September 2010.

2. ø- Representation of Hyperlattices, International Journal of Computational Cognition(IJCC), Vol. 9, No. 2, pp.36-39, June 2011.


M. Srujana

1. (With K. Lavanya Lakshmi): A Comparison of certain Topological indices of Penta Chains, accepted to publish in the International Journal of Computational Cognition.

2. Eccentric and Wiener Indices of Nano Pentachains, communicated for publication in International Journal of Applied Mathematics and Computation.

3. Wiener, Hyper Wiener and Reverse Wiener Indices of concatenated Pentagons in Three rows, communicated for publication in International Journal of Computation and Cognition.