Research

2019-2020

S.No Name Research
1 Dr.S.Vidhyalakshmi, S.Aarthy Thangam, Dr.M.A.Gopalan � Formulation of dio-quadruple with property D(k2+1), Journal of Interdisciplinary Cycle Research, ISSN:0022-1945, Vol:11, Issue:10, Oct 2019.
2 Dr.S.Vidhyalakshmi, M.A.Gopalan, Ms.T.Mahalakshmi �Special Pythagorean Triangle In Relation With Pronic Numbers International Journal of Mathematics Trends and Technology, www.ijmtt.org , Google, IF: 2.53, ISSN: 2231-5373, Page No:166-169, Aug 2019.
3 Dr. S.Vidhyalakshmi, Dr.M.A.Gopalan, Ms.T.Mahalakshmi, �Construction of Diophantine 3-Tuples Through 3D Numbers� EPRA International Journal of Multidisciplinary Research (IJMR), www.ijmr.com, Peer Reiewed, IF:5.614, ISSN No:: 2455-3622, Vol 5, Issue:9, Page No:181-190, September 2019.
4 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, Ms.T.Mahalakshmi �A Special Dio-Quintuple with Property D(2) Journal of Scientific Computing, www.jscglobal.org, ISSN: 1524-2560, Vol 8, Issue: 10, Sep 2019.
5 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, S.Aarthy Thangam �Special Characterizations of Rectangle in Connection with Trimorphic Numbers� Annals of Communications in Mathematics www.technoskypub.com, Google Scholar, ISSN:2582-0818, Vol 2 Number 1(2019), Page No:17-23.
6 Dr. S.Vidhyalakshmi, Ms. T. Mahalakshmi, Dr.M.A.Gopalan �Special Pythagorean Triangle with (2 * Area )/(perimeter ) + Hypotenous � a leg as a Pronic Number� www.adalyajournal.org, UGC Peer reviewed, Scopus, IF:2.5.3, ISSN:1301.2746, Vol 8, Issue 9, September 2019.
7 Dr. J.Shanthi, Dr.M.A. Gopalan, �On the Pair of Equations x+y=z+w, y+z=?(x-w)?^3, Adalya Journal, www.adalyajournal.com ISSN No:1301-2746, IF:5.3, Vol 8, Issue 9, Sep 2019, Pg No:445-447, UGC CareGroup II Google Scholar.
8 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, Ms.T.Mahalakshmi, Dr.J.Shanthi �On Two Interesting Systems of Diophantine Equations� Journal of Interdisciplinary Cycle Research www.jicr.org, UGC, ISSN:0022-1945, Vol 11, Issue 11, Nov 2019.
9 M.A Gopalan et al, �On the System of Equations x+y=z+w,y+z=?(x+w)?^3, Infokara Research, www.infokara.com UGC-CARE Approved Group II Journal No.15775, IF:5.3, ISSN NO: 1021-9056, Vol 8, Issue 9, Page No:595-597
10 . Dr.J.Shanthi, Dr.M.A.Goplan, A.Prathiba �Special sets of (2n+1)- tuples in Arithmetic Progression�, UGC, Infokara Research, ISSN:1021-9056, Vol 8, Issue 11, Nov 2019.
11 . S.Vidhyalakshmi, T.Mahalakshmi K.Sridevi �On The Ternary Biquadratic Equation x^4+x^3 y+x^2 y^2+?xy?^3+y^4=?(x+y)?^2+1+z^2�, Journal of Interdisciplinary Cycle Research, www.jicrjournal.com UGC CARE(II) No. 21259, IF:6.2, ISSN 0022-1945, Vol. 11, Issue 11, Nov 2019, Pg. No.338-348
12 Dr.S.Vidhyalakshmi, Dr. M.A Gopalan, Ms.T.Mahalakshmi �Observations on Non-homogeneous Bi-quadratic with Four unknowns 10xy+7z2=7w4� IF:6.1 UGC Care Approved Group-II, Google Scholar, ISSN 0950-0707,Vol 9,Issue 3, ,Page No:14-18, March 2020.
13 Dr.S.Vidhyalakshmi, Dr. M.A Gopalan, Ms.T.Mahalakshmi �Observations on the homogeneous Ternary quadratic Diophantine Equation with Three Unkowns y2+5x2=21z2� ISSN 1548-7741, Vol 10, Issue 3, March 2020, Page No:822-831, IF:6.2, UGC CARE(II), Google Scholar.
14 Dr.K.Meena, Dr.V.Praba �Challenges of Organizational Domain in Business Perception�, International organization for standardization www.spjmr.com UGC Approved No.64786, Google Scholar, IF:6.1, ISSN 2394-2886, Vol 9, Issue 12, Jun 2019, Pg No:80-85
15 Dr.V.Praba, �Three Connected Domination in a Graph� International Journal for Research in Applied Science & Engineering Technology, www.ijraset.com, IF: 7.177 , IC Value: 45.98, ISSN: 2321-9653, SJ Vol 7 Issue 7, July 2019,
16 Dr. V.Praba, �Semi-Strong Color Partition Of Graph�, Thomson Reuters Global Journal of Engineering Science and Researches, www.gjesr.com, IF: 5.070, Peer Reviewed, ISSN : 2348- 8034, June-2019, DOI-10.5281/Zenodo.3268840
17 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, Ms.T.Mahalakshmi, Ms.S.Aarthithangam - " On the Double Equations x-yz=3w3, xy=T3", Journal of Xi�an University of Architecture & Technology, www.xajzkjdx.in UGC, Google Scholar, ISO, IF 3.7, ISSN:1006-7930,Vol 12, Issue 2, Page No: 1357-1362, Mar 2020.
18 Dr.S.Mallika, Ms.V.Praba, Ms.T.Mahalakshmi �Observations on Homogeneous Bi-quadratic Equation with Five unknowns x4 � y4=26(z2 � w2)T2� Alochana Chakra Journal, www.alochanachakra.org, Journal no:4525 ISSN NO:2231-3990, Vol 9, Issue 5, page no 4421-4431, May 2020
19 Dr.S. Mallika ,V.Praba, �Observation On The Homogeneous ternary Quadratic Diophantine Equation 25x2-20xy+10y2=7z2�, Journal of Inter disciplinary Cycle Research, An UGC-CARE approved group �II ,ISSN NO: 0022-1945 Vol 12, Issue 4, Page No: 1301-1308,April 2020
20 . Dr.K.Meena, Dr.V.Praba �Predicting The Effect of Randomized Clinical Trial Of A drug (Lg- 03812) For Mild Cognitive Impairment using Machine Learning, CLIO An Annual Interdisciplinary Journal of History, (UGC Care Listed Journal), ISSN: 0976-075X, Vol-06 Issue 2, April 2020.
21 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, Ms.T.Mahalakshmi, �On two interesting Systems of Triple Diophantine Equations with Five Unknowns� International Journal of Research and Analytical Reviews�, www.ijrar.org , UGC, IF:5.75, ISSN: 2349-5135, Vol 6, Issue 2, June 2019.
22 S.Vidhyalakshmi, B.Geetha, V.Bahavathi, M.A.Gopalan, �Integral Points On The Ternary Quadratic Diophantine Equation 5x2+ 11y2= 16z2��, Mukt Shabd Journal, www.shabdbooks.com, I.F 4.6, ISSN NO : 2347-3150, Vol 9, Issue 5, page No 4322-432, 9-MAY 2020.
23 S.Vidhyalakshmi, V.Bahavathi, B.Geetha, M.A.Gopalan �On the Homogeneous Cone 36x^2 � 24xy + 9y^2 = ?6z?^2�� Journal of Scientific Computing, www.jscglobal.org, I.F :0.1, ISSN No: 1524-2560, Vol-9, Issue-5-20, Page No: 86-91, May 2020,.
24 Dr.J.Shanthi, Mrs.T.Mahalakshmi, Mrs.M.Revathi and Dr.M.A Gopalan, �A Study on the Triple Equations ?x+y=z?^2,2x+y=?2z?^2+w^2,x+2y=?10p?^3 � Journal Of Infokara Research, vide ISSN NO:1021-9056, Vol 9, Issue 4, Page No: 218-220, 2020.
25 . Dr.S.Vidhyalakshmi, Ms.D.Maheswari et al. On The Non Homogeneous Binary Quadratic Equation ?4x?^2-?3y?^2=37�, Bulletin of Pure and Applied Sciences, www.bpasjournals.com, Google Scholar, ICI , IF:4.895, ISSN: 2320-3226, Vol 38E, Issue 38E, Page No: 324-328, Jun 2019. https://bpasjournals.com/admin/upload/dynamic2/33jun19.pdf
26 . Dr. K. Meena, Dr. S. Vidhyalakshmi, Dr. J. Shanthi, Dr. M.A. Gopalan �Observations on the homogeneous Ternary quadratic Diophantine Equation x^2+4xy+?9y?^2=?21z?^2�. IAR Journal of Engineering and Technology, http://www.iarconsortium.org/journal-info/IARJET UGC CARE Group A ISSN NO 2708-5163, Vol 1 ,Issue 1, May-june 2020. Pg. No 9-14
27 Dr.S.Vidhyalakshmi, Ms.T.Mahalakshmi, Dr.M.A.Gopalan G.Dhanalakshmi �On the Non-Homogeneous Quintic Equation with Five unknowns, x^4-y^4=?13p?^3 (Z^2-W^2)� IAR Journal of Engineering and Technology, http://www.iarconsortium.org/journal-info/IARJET ISSN NO 2455-3662, Vol 6 , Issue 7, July 2020.Pg. No 289-292.
28 Dr. S. Vidhyalakshmi, Dr. J. Shanthi, Dr. M.A. Gopalan �A search on the integer solutions of pell-like equation ?ax?^2-(a-1)y^2=a,a>1� International journal of advanced scientific research www.allscientificajournal.com, ISSN NO 2456-0421, Vol 5, Issue 2, 2020. Pg. No 29-34
29 . Dr. J. Shanthi, Mrs. T. Mahalakshmi, Mrs.N.Umamaheswari and Dr. M. A Gopalan, A study on the Hyperbola y^2=?11x?^2-50�, Alochana Chakra Journal, www.alochanachakra journal.com, UGC Care No.4525, ISSN NO:2231-3990, Vol 9, Issue 4, Page No: 3879-3895.
30 Ms.J.Shanthi, Ms.R.Maheswri, Dr.M.A.Gopalan, V.Tamilselvi �A Peer Search on Integral Solutions to Non-Homogeneous Binary Quadratic Equation ?15x?^2-?2y?^2=78�, Journal of Scientific computing, http://jscglobal.org, Peer Reviewed, IF:6.1, UGC Indexed in Google Scholar, ISSN NO 1524-2560, Vol 9, Issue 3, Page No.108-131, 2020.
31 Ms.E.Premalatha, Dr.M.A.Gopalan, Mrs.N.Umamaheswari �On the homogeneous cubic Diophantine equation with four unknowns 3(x^3+y^3 )=?8zw?^3�, Alochana Chakra Journal, www.alochanchakra.org, UGC Care No.4525, ISSN NO:2231-3990,Vol 9, Issue 5, pages:285-291.
32 Dr.S.Mallika, R.Anbarasi, �Observations on the quadratic diophantine equations with three unknowns ?3x?^2+?2y?^2=21z, International Journal of Research and Analytical reviews www.ijrar.org, IF: 5.75, UGC Care No.43602, ISSN NO 2349-5138, Vol 7 ,Issue1, March 2020, Pg. No 906-915
33 Dr.S.Mallika, A.G.Akshaya, �Observations on the ternary quadratic diophantine equations ?9x?^2+?2y?^2=27z", International Journal of Research and Analytical reviews www.ijrar.org, IF: 5.75, UGC Care No.43602, ISSN NO 2349-5138, Vol 7 , Issue1, March 2020. Pg. No 562-571
34 Dr.S.Mallika, Ms.D.Maheswari , T.Arthi, �Observations on the ternary quadratic diophantine equations ?5x?^2+?2y?^2=5z, Infokara Research http://infokara.com/, An UGC-CARE Approved Group 2 Journal/Scopus Indexed Till 2014, ISSN NO 2349-5138, Vol 7 , Issue 1, March 2020. Pg. No 562-
35 Dr.S.Mallika, Ms.D.Maheswari, R.Anbarasi, �Observations on the Homogeneous Ternary Quadratic Diophantine Equation ?16x?^2+8xy+?3y?^2=?11z?^2" , Infokara Research Journal, http://infokara.com/, An UGC-CARE Approved Group 2 Journal/Scopus Indexed Till 2014, ISSN NO: 1021-9056, Vol9, Issue4, 2020. Pg. No 26-31.
36 Dr.S.Mallika, T.Arthi �On the homogeneous ternary quadratic diophantine equations ?9x?^2-6xy+?6y?^2=?14z?^2�, International Journal of Research and Analytical reviews www.ijrar.org, IF: 5.75, UGC Care No.43602, "ISSN NO 2349-5138, Vol 7 ,Issue 1, March 2020, Pg. No 937-945
37 J.Shanthi, T.Mahalakshmi, V.Anbuvalli, M.A.Gopalan, �On Finding Integer Solutions to the Homogeneous Cone AEGAEUM Journal, UGC-CARE APPROVED (GROUP II) Multidisciplinary journal, ISSN.NO.0776-3808. Vol 8, Issue 4, Pages NO:744-749, April 2020 .
38 Dr.S.Vidhyalakshmi, Dr.J.Shanthi, Ms.T.Mahalakshmi, Dr. M.A. Gopalan A Classification of Rectangles in Connection with Two Fascinating Number Patterns� International Journal of advanced science and technology UGC CARE Group A "ISSN NO 2005-4238, Vol29 ,Issue 8S, 2020. Pg. No 1231-

Staff Achievements

2019-2020


S.no Staff Achievements
1 Dr. G. Sumathi , Dr.V. Praba has participated in two day international workshop on �NAAC Awareness Programme� on 27th,28th july 2019 at Primax Foundation in Bangalore.

Students Achievements

2019-2020

No Records Found

S.no Students Achievements