Dr Aparna Lakshmanan

EDUCATIONAL QUALIFICATIONS

  1. BSc. – (Mathematics) from St. Joseph’s College, Irinjalakuda under Calicut University, Kozhikode (2000)
  2. M.Sc. – (Mathematics) with first Rank (2002)
  3. CSIR – UGC – JRF (NET) from University Grants Commission, New Delhi. (2003)
  4. Ph.D from Cochin University of Science and Technology (2009)

PROFESSIONAL EXPERIENCE – TEACHING

  1. Xavier’s College for Women, Aluva, Assistant Professor (2005 onwards)

PROFESSIONAL EXPERIENCE – RESEARCH

  1. Research Guide Mahatma Gandhi University from 2014 onwards

Research Scholars (ongoing)

  • Anu V., Assistant Professor, Department of Mathematics, St. Peter’s College, Kolencherry
  • Jeepamol J. Pallathingal, Assistant Professor, Department of Mathematics, PM Govt. College, Chalakkudy
  • Seena Varghese, Assistant Professor, Department of Mathematics, MES College, Kunnukara
  • Jismi Varghese, Assistant Professor, Department of Mathematics, DIST, Angamaly
  • Ninu S. Lal, Assistant Professor, Department of Mathematics, SNM College, Maliankara

AWARDS/RECOGNITIONS AND ACHIEVEMENTS

  • IMS prize (Group 1 – Discrete Mathematics) for the year 2013 instituted by Indian Mathematical Society
  • Kerala State Young Scientist Award 2012
  • First rank for M.Sc. Mathematics from Cochin University of Science and Technology in 2002

RESEARCH PROJECTS

  1. UGC minor project – “Study of various graph parameters under graph products” (Rs. 1,50,000/-)
  2. KSCSTE Major project– “Applications of graph theory to Networks” (Rs.10,34,000/-)

ACADEMIC POSITIONS,  ACTIVITIES & MEMBERSHIP IN PROFESSIONAL ORGANISATIONS

  • Indian Mathematical Society (Life Member)
  • Academy for Discrete Mathematics and its Applications (Life Member, Executive Committee member – 2014 – 16, Secretary – 2016 onwards)
  • Kerala Mathamatical Association (Life member)
  • Ramanujan Mathematical Society (Life Member)
  • Reviewer for Mathematical Reviews and Zentralblatt Math

ORIENTATION PROGRAMMES/ REFRESHER COURSES ATTENDED

  • Orientation Programme at Academic Staff College, University of Kerala from 17/04/2009 to 14/05/2009
  • Refresher Course in Mathematics at Academic Staff College, University of Kerala, Kariyavattom, Thiruvananthapuram from 20/08/2013 to 09/09/2013
  • Refresher course in Mathematics at UGC-HRDC, University of Kerala, Kariyavattom, Thiruvananthapuram from 04/08/2015 to 24/08/2015

SEMINARS/WORKSHOPS ORGANIZED

  • National Seminar on Women in Science on 07/03/2014
  • National Seminar on Graph Theory and its Applications from 07/09/2014 to 09/09/2014
  • One Day Workshop on Madhava Mathematics Competition problems on 26/11/2015

ARTICLES PUBLISHED IN NATIONAL AND INTERNATIONAL JOURNALS

International – 13

  1. Aparna Lakshmanan S., Csilla Bujtas, Tuza Zsolt, “Induced cycles in triangle graphs”, Discrete Appl. Math.,209 (2016), 264 – 275. (Impact factor : 0.722)
  2. Aparna Lakshmanan S., Bujtas, Zs. Tuza, “Generalized line graphs : Cartesian products and complexity of recognition”, Electron. J. Combin., 22(3) (2015), #P3.33. (Impact factor : 0.568)
  3. Aparna Lakshmanan S., Vijayakumar, T. M. Wang, “Weakly clique irreducibility of NEPS of two graphs”, Util. Math., 92 (2013), 351 – 358. (Impact factor : 0.354)
  4. Aparna Lakshmanan S., Csilla Bujtas, Tuza Zsolt, “Small edge sets meeting all triangles of a graph”, Graphs Combin., 28 (2012), 381 – 392. (Impact factor : 0.48)
  5. Aparna Lakshmanan S., Vijayakumar, The gamma graph of a graph, AKCE International Journal of Graphs and Combinatorics, 7 (2010), 53 – 59. (Impact factor : 0.599)
  6. Aparna Lakshmanan S., Vijayakumar, On weakly clique irreducible graphs, Bulletin of ICA, 58 (2010), 48 -58. (Impact factor : Not available)
  7. B. Rao, Aparna Lakshmanan S., A. Vijayakumar, Cographic and global cographic domination number of a graph, Ars Combinatoria, 95 (2010), 273 – 286. (Impact factor : 0.441)
  8. Aparna Lakshmanan S., Vijayakumar, Clique irreducibility and clique vertex irreduciblility of graphs, Appl. Anal. Discrete Math., 3 (2009), 137 – 146.
  9. Aparna Lakshmanan S., Vijayakumar, A note on some domination parameters in graph products, J. Combin. Math. Combin. Comput., (Proceedings of the International Conference on Recent Developments in Combinatorics and Graph Theory, 2007, India), 31 – 38.
  10. Aparna Lakshmanan S., Vijayakumar, The <t>-property of some classes of graphs, Discrete Math., 309 (2009), 259 – 263.
  11. Aparna Lakshmanan S., Vijayakumar, Clique irreducibility of some iterative classes of graphs, Discuss. Math. Graph Theory, 28 (2008), 307 – 321.
  12. Aparna Lakshmanan S., A. Vijayakumar, Some properties of the clique graph of a cograph, RMS Lecture Note Series 7 (2008), (Proceedings of the International Conference on Discrete Mathematics, Bangalore, India, 2006), 227 – 232.
  13. Aparna Lakshmanan S., S. B. Rao, A. Vijayakumar, Gallai and anti-Gallai graphs of a graph, Mathematica Bohemica, 132(1)(2007), 43 – 54.

 

National – 1

  • Aparna Lakshmanan S., Characterization of some special classes of Gallai and anti-Gallai graphs, Discourse, 1 (2013), 85 – 89.

PARTICIPATION AND PRESENTATION IN SEMINARS/WORKSHOPS/ CONFERENCES

 Invited talks

International seminars – 5

  1. “On Vizing’s Conjecture”, International seminar on new trends in Applications of Mathematics sponsored by CSO & MOSPL at Bharatmata College, Thrikkakara on 31st January 2011
  2. “Some Domination Concepts in Cographs” , International Conference on Discrete Mathematics and its Applications organized by Department of Mathematics, Amrita Vishwa Vidyapeetham, Coimbatore ( 10th  December 2011)
  3. “ Domination in Graph Products- Vizing’s Conjecture” in the workshop on Graph Theory and Interconnection Networks Department of Applied Mathematics, Tunghai university, Taichung, Taiwan ( 16th to 17th November 2013)
  4. “ Triangles in graphs” in the “ Indo – Slovenia Conference on Graph Theory and Applications ( Indo- Slov 2013)” organized by the department of Futures Studies in association with Graph Theory Research group, University of Maribor and institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia (22 – 24 February 2013)
  5. “ On Tuza’s Conjecture related to triangles in graphs” in the Third India – Taiwan Conference on Discrete Mathematics organized by Department of Applied mathematics, National Chiao Tung University ( Nov 19 – 22 , 2013)

National seminars – 6

  1. “Paths and cycles in graphs” , UGC sponsored National seminar on Discrete Mathematics and applications at MES Asmabi College, Vemballur
  2. “on Vizing’s Conjecture” , 75th Annual Conference of the IMS at Kalasalingam University, Tamil Nadu ( Dec 29, 2009)
  3. “on Vizing’s Conjecture” in the UGC sponsored National Seminar on Discrete Mathematics organized by Department of Mathematics, St. Paul’s College, Kalamassery
  4. “Basics of Graph Theory” in the UGC sponsored National Seminar on Mathematical Modelling and its Applications with special Emphasis on Graph Theory, Fuzzy Mathematics, Stochastic Modelling and Statistical Packages organized by the Post Graduate & Research Department of Mathematics, Union Christian College, Aluva ( 14th to 15th January 2016)
  5. “the b – chromatic number of graphs” in the UGC sponsored National Seminar on “ Emerging Trends in Graph Theory and its Applications” organized by Post Graduate Department of Mathematics, St. Aloysius’ College, Edathua, Kerala(21st to 23rd Jan 2015)
  1. “ Triangles in graphs” in the 10th Annual Conference of ADMA & Graph Theory Day organized by Department of Mathematics and Basic Sciences, REVA Institute of Technology & Management ( 10th to 13th June 2014)

At Colleges – 1

  • “The man who knew infinity – Sreenivasa Ramanujan” at Sree Narayana College, Althur, Palakkad on 7th December, 2012

Paper presentations

International – 1

  • “Recent developments on Vizing’s Conjecture” in the International Conference on Graph Theory and its Applications held in Amritha School of Engineering ( December 16-19, 2015 )

National – 6

  1. “Discrete Mathematics and its Applications” organized by the Department of Mathematics, CAS College, Madayi, Kannur in association with Kerala Mathematical Association  ( 11th and 12th August 2014) 
  2. “On Vizing’s Conjucture and some Related Problems”  UGC sponsored National Seminar on “ Discrete Mathematics” organized by Department of Mathematics , University of Calicut , Malappuram(20th, 21st & 22nd March 2014)
  3. “Triangles in Graphs” in the UGC and RMS sponsored National Conference on “ Graph Theory and Operation research” organized by PG and Research Department of Mathematics , Holy Cross College, Thiruchirappalli, Tamil Nadu (3rd and 4th March 2014)
  4. “The b- chromatic number of graphs” in the 79th Annual Conference of Indian Mathematical Society held at Rajagiri School of Engineering & Technology, Kochi (28th to 31st December 2013)
  5. “On Weakly Clique Irreducible graphs” in the International Conference on Discrete Mathematics sponsored by DST and CSIR, held at University of Mysore (8th June, 2008)
  6. “Clique irreducibility & Clique Vertex Irreducibility of Graphs” in the 73rd Annual Conference of the IMS organized by Department of Mathematics, University of Pune (28th December 2007)

Seminars attended

International – 13

  1. International Conference on Discrete Mathematics – 2016 (ICDM- 2016) and Graph Theory Day – XII ( Sponsored by TEQIP – II) organized at Siddaganga Institute of Technology, Tumakuru (June 9 – 11, 2016)
  2. International Conference on Graph Theory and its Applications held in Amritha School of Engineering ( December 16 – 19, 2015 )
  3. Second International Conference on Algorithms and Discrete Applied Mathematics held at Department of Futures Studies, University of Kerala, Thiruvananthapuram, Kerala ( 18 – 20 February 2016)
  1. International Seminar on “ Queues and Graphs” (ISQG) organized by Post Graduate & Research Department of Mathematics , St. Peter’s College, Kolenchery in association with Kerala Mathematical Association ( 7th Jan ,2015)
  2. International Conference on “ Advances in Applied Probability , Graph Theory and Fuzzy Mathematics” sponsored by KSCSTE & DST, co- sponsored by Mahatma Gandhi University, Kottayam, and organized by Department of Mathematics , St. Peter’s College, Kolenchery in association with Kerala Mathematical Association (11 – 14 January , 2014)
  3. A workshop on Graph Theory and Interconnection Networks Department of Applied Mathematics, Tunghai university, Taichung, Taiwan ( 16th to 17th November 2013)
  4. “ Indo – Slovenia Conference on Graph Theory and Applications ( Indo- Slov 2013)” organized by the department of Futures Studies in association with Graph Theory Research group, University of Maribor and institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia (22 – 24 February 2013)
  5. Third India – Taiwan Conference on Discrete Mathematics organized by Department of Applied mathematics, National Chiao Tung University ( Nov 19 – 22 , 2013)
  6. International seminar on new trends in Applications of Mathematics sponsored by CSO & MOSPL at Bharatmata College, Thrikkakara (Jan 31st – Feb 2nd, 2011)
  7. International Conference on Recent Trends in Graph Theory and Combinatorics organized by Department of Mathematics, Cochin University of Science & Technology, Cochin (12- 15 Aug 2010)
  8. International Conference on Discrete Mathematics sponsored by DST and CSIR, held at University of Mysore ( 06 -10 June, 2008)
  9. International Conference on Discrete Mathematics and its Applications organized by Department of  Mathematics, Amrita Vishwa Vidyapeetham, Coimbatore ( 9th to 11th December 2011)
  10. International Conference on “ Recent Trends in Mathematical Analysis” and Annual Conference of KMA organized by Department of Mathematics, St. Joseph’s College, Irinjalakuda & KMA (16th to 18th December 2000)

National – 24

  • National seminar on Advances in Mathematics and Applications organized by Department of Mathematics, St. Teresa’s College, Ernakulam and Kerala Mathematical Association (2nd July 2016)
  • NAAC Sponsored National Seminar on Academic and Administrative Auditing conducted by Internal Quality Assurance Cell of St. Xavier’s College for women , Aluva (18th March 2016)
  • One day Workshop on U.G. Curriculum Restructuring in Mathematics organized by U.G. Board of Studies in Mathematics , Mahatma Gandhi University , Kottayam and Department of Mathematics , Nirmala College , Muvattupuzha ( 29th Feb 2016 )
  • UGC Sponsored Refresher Course in Mathematics conducted by UGC – Human Resource Development Centre , University of Kerala, Kariavattom, Trivandrum ( 04 – 08-2015 to 24 -08-2015 ) and has awarded A grade
  • UGC sponsored National Seminar on Discrete Mathematics organized by Department of Mathematics, St. Paul’s College, Kalamassery ( 15th and 16th December 2015)
  • UGC sponsored National Seminar on “ Discrete Mathematics and its Applications” organized by Post Graduate Department of Mathematics , Mar Thoma College for Women, Perumbavoor, Ernakulam ( 14th and 15th January 2016)
  • UGC sponsored National Seminar on Mathematical Modelling and its Applications with special Emphasis on Graph Theory, Fuzzy Mathematics, Stochastic Modelling and Statistical Packages organized by the Post Graduate & Research Department of Mathematics, Union Christian College, Aluva ( 14th to 15th January 2016)
  • UGC sponsored National Seminar on “ Emerging Trends in Graph Theory and its Applications” organized by Post Graduate Department of Mathematics, St. Aloysius’ College, Edathua, Kerala (21st to 23rd Jan 2015)
  • National Seminar on ‘Graph Theory’ sponsored by the Directorate of Collegiate Education , Govt. of Kerala organized by Department of Mathematics , KNM Govt. Arts and Science College, Kanjiramkulam, Trivandrum ( 4th and 5th Dec, 2014)
  • UGC sponsored National Level Instructional Seminar on “ Recent Advances in Mathematics” organized by Department of Mathematics , St. Mary’s College, Thrissur, in association with Kerala Mathematical Association ( 25th to 27th September , 2014)
  • UGC sponsored National seminar on “ Discrete Mathematics and its Applications” organized by the Department of Mathematics, CAS College, Madayi, Kannur in association with Kerala Mathematical Association  ( 11th and 12th August 2014)
  • UGC sponsored National Seminar on “Graph Theory and its Applications” organized by Department of Mathematics , St. Xaviers’s College for Women, Aluva in association with Academy of Discrete Mathematics and Applications ( 7th to 9th August 2014)
  • 10th Annual Conference of ADMA & Graph Theory Day organized by Department of Mathematics and Basic Sciences, REVA Institute of Technology & Management ( 10th to 13th June 2014)
  • UGC sponsored National Seminar on “ Discrete Mathematics” organized by Department of Mathematics , University of Calicut , Malappuram(20th, 21st & 22nd March 2014)
  • UGC sponsored National seminar on “ Discrete Mathematics and its Applications” organized by the Department of Mathematics,S.S.V. College, Valayanchirangara in association with Kerala Mathematical Association ( 13th and 14th March 2014)
  • UGC and RMS sponsored National Conference on “ Graph Theory and Operation research” organized by PG and Research Department of Mathematics , Holy Cross College, Thiruchirappalli, Tamil Nadu (3rd and 4th March 2014)
  • 79th Annual Conference of Indian Mathematical Society held at Rajagiri School of Engineering & Technology, Kochi ( 28th to 31st December 2013)
  • Seminar on “Indian Women and Mathematics” supported by National Board of Higher Mathematics held in IISER, Pune ( 26th to 28th July 2013)
  • 75th Annual Conference of IMS sponsored by DST, NBHM, DRDO, CSIR and Kalasalingam University at Kalasalingam University, Tamil Nadu ( Dec 29, 2009)
  • UGC sponsored National Seminar on “ Recent Trends in Graph Theory ,Fuzzy Mathematics, Mathematical Chemistry and Biology” organized by Department of mathematics , St. Aloysius’ College, Edathua( 12 – 14 August 2009)
  • 73rd Annual Conference of the IMS organized by Department of Mathematics, University of   Pune ( 27th to 30th  December 2007)
  • National Seminar on Algebra and Discrete Mathematics organized by Department of Mathematics, University of Kerala ( 14th to 16th Nov 2007)
  • One day Intercollegiate Seminar on Statistics jointly organized by Department of Statistics. St. Xavier’s College for Women , Aluva and Old Students Forum , Department of Statistics, CUSAT ( 9th Oct 2006)
  • UGC sponsored National Seminar on “ Recent Trends in Cryptography with Coding Theory organized by Union Christian College, Aluva and KMA ( 24th to 26th February 2005)

 

 

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