Hello! I’m  Monikandan, S    (மணிகண்டன் சிவராம கிருஷ்ணன்)

CURRICULUM VITAE

NAME : S. MONIKANDAN (சிவராமகிருஷ்ணன் மணிகண்டன்)
DESIGNATION : Professor and Head
DATE OF BIRTH : 30-7-1974
EMAIL : monikandans@gmail.com

ACADEMIC QUALIFICATIONS
Ph.D (Mathematics) Manonmaniam Sundaranar University, 2006
UGC-NET (Mathematics) CSIR, 2001
M.Phil. (Mathematics) Madurai Kamaraj University, 1999
M.Sc. (Mathematics) Manonmaniam Sundaranar University, 1998
B.Sc. (Mathematics) Manonmaniam Sundaranar University, 1996

ACADEMIC ACHIEVEMENTS
1. Recipient of CSIR – Senior Research Fellowship.
2. Recipient of Junior Research Fellowship sponsored by the Department of Science
and Technology, Govt. of India, New Delhi for 3 ½ years.
3. University 10th Rank holder and the College First Rank holder (Vivekananda
College, Kanyakumari) in M.Sc. Mathematics.
4. Second Rank holder in the Ayya Nadar Janaki Ammal College (Autonomous),
Sivakasi in M.Phil. Mathematics.
5. Second Rank holder in the National level Second S.E.R.C. Summer School on
Special Functions and Functions of Matrix argument
(School Directors : Dr.A.M. Mathai (Montreal University, Canada) and
Dr.K.S.S. Nambooripad) held at Centre for Mathematical Sciences, Trivandrum,
during 29th May to 30th June, 2000 (33 days).

FILED OF SPECIALIZATION : Discrete Mathematics -- Graph Theory

AREA OF RESEARCH : Isomorphism Problems
(Ulam’s Conjecture / Reconstruction Conjecture)

FACULTY PLACEMENT

July 2022 to till date                               Professor and Head

                                                                   Manonmaniam Sundaranar University                                                                                                                                                         Tirunelveli -627 012, Tamilnadu. INDIA

December 2021 to till date                    Professor

                                                                   Manonmaniam Sundaranar University                                                                                                                                                     Tirunelveli -627 012, Tamilnadu. INDIA

December 2018 to Nov 2021                Associate  Professor

                                                                   Manonmaniam Sundaranar University                                                                                                                                                       Tirunelveli -627 012, Tamilnadu. INDIA

November 2010 to Nov 2018               Assistant  Professor

                                                                   Manonmaniam Sundaranar University                                                                                                                                                      Tirunelveli -627 012, Tamilnadu. INDIA

October 2005 to September 2010       Assistant  Professor, Annamalai University

                                                                  Chidambaram, Tamilnadu. INDIA

July 2000 to  October 2001                   Lecturer, Rev. Jacob Memorial Christian College

                                                                   Dindigul Dist., Tamilnadu. INDIA

Administrative  Placement

Feb. 2011 to Aug. 2019                         Coordinator,   B.Sc./M.Sc Mathematics

                                                                    DD&CE -- PCP Programme

                                                                    Manonmaniam Sundaranar University

 MAY  2019 to  nov. 2019                             Chairperson 

                                                                                    BOS- BSc. Mathematics in Affiliated Colleges

                                                                    Manonmaniam Sundaranar University

Title of Research Dissertations           

Ph.D. Dissertation           :           Graph Theory Problems Related to Ulam’s Conjecture

M.Phil. Dissertation        :           A Study on the Reconstructible Properties of Graphs

Research Publications

                               Total   (published/Accepted)               :            41      (list enclosed as Annexure i)                                                                             

                           National                                             :             5

                           International                                      :           36

             Papers published in Science Citation  Index (SCI) journals                                          :  17

              Papers  reviewed  in  American Mathematical Society- Mathematical Review   :  28

MAJOR RESEARCH PROJECT       COMPLETED   :  2              ONGOING  :  1

       COMPLETED     

     1.    Funding Agency                    :    DST, New Delhi

            Title                                         :    Reconstruction of Graphs and N-reconstruction of 

                                                                  Digraphs

            Principal Investigator          :   Dr.S. Monikandan

            Sanctioned Amount              :    Rs.8,99,280/-

Number                                  :    SR/S4/MS:628/09

     2.    Funding Agency                     :    DST, New Delhi

            Title                                         :    Reconstruction of Graphs and Digraphs from

                                                                   (Degree Associated)  subgraphs

            Principal Investigator           :    Dr.S. Monikandan

            Sanctioned Amount              :    Rs.9,93,300/-

            Number                                  :    EMR/2016/000157

ONGOING

   3.       Funding Agency                    :    National Board for Higher Mathematics, Mumbai

            Title                                         :    Ulam’s Conjecture in Graph Theory

            Principal Investigator           :    Dr.S. Monikandan

            Sanctioned Amount              :    Rs.18,35,000/-

            Period                                      :    2022 − 2025

Research Guidance

      1.   Number of students awarded Ph.D      :             6

            2.   Number of students submitted Ph.D   :             0

      3.   Number of students doing Ph.D           :             4

      4.   Number of students awarded M.Phil.  :           30

Teaching Experience

                  Research                     :           21 years

                  Teaching         P.G.     :           18 years  

                                          U.G      :           19 years  

Books written

      Published           :          3                    

                    Title                  :         Structures  of Graphs  from Rings

                    Publisher           :         University  publication,  M.S.University,  2018.

                   Co-authors        :          T. Tamizh Chelvam, K. Selvakumar

                       Title                    :         Recent advances in graph reconstruction

                    Publisher           :         Lambert Academic Publishing, Germany, 2014.

                  Isbn                      :        978-3-659-61383-8

                   Co-authors       :          J. balakumar

                  Title                   :         Degree Associated Reconstruction Number of Graphs

                   Publisher               :         Lambert Academic Publishing, Germany, 2019.  

                         Isbn                     :        978-613-9-57926-6

Writing  a chapter in a Book 

                     Chapter Title       :         Reconstruction of graphs

                    Title of the book  :          Graph Theory

                   Publisher               :          INtech Open, London, 2021.  

                       Editor                  :        Harun Pirim

Number of Conferences/workshops/summer schools/seminars attended

                  As resource Person   :     13

                  As Participant            :     41

Membership in Academic Bodies

• Life Member of Academy of Discrete Mathematics of India.

• Member of Indian Science Congress.

• Reviewer for Mathematical Reviews of American Mathematical Society.

• Refereed research papers for the following Journals:

1. Discrete Applied Mathematics (Elsevier)

2. Taiwanese Journal  of Mathematics

3.  Journal of Discrete Algorithms (Elsevier)

4. ARS Combinatoria

5. Transactions on Combinatorics

6. Journal of Algorithms and Computation

7. AKCE Int. Journal of Graphs and Combinatorics

8. Mathematics, Algorithms and Applications

9. Discussiones  Mathematica Graph Theory

​

Research Publications

Total Publications                                :   41

International                                        :   36

             National                                                :     5

   Papers published in Science Citation  Index  (SCI) journals   :  17

  Papers  reviewed  in  American Mathematical Society Mathematical Reviews : 28

1. P. Anusha Devi and S. Monikandan, Degree Associated Edge Reconstruction Parameters of Strong Double Brooms,  Journal of Automata, Languages and Combinatorics (2022) (to appear).

1. S. Monikandan and  P. Devi Priya, Progress on the  Kelly-Ulam Conjecture,  Indian J. Discrete Math. 7 (1) (2021), 1–26.

1.  P. Devi Priya and S. Monikandan, Reconstruction of 2-connected parity graphs, Australasian J. Combinatorics 80 (2) (2021), 167–177.

1. A. Anat Jaslin Jini and S. Monikandan, Reconstruction Number of Finite Topological Spaces with unique Isolated Point, Acta Universitatis Apulensis No. 65 (2021), 89-110.

1.  P. Devi Priya and S. Monikandan, Stronger reconstruction of distance-hereditary Graphs, TWMS J. App. and Eng. Math. (Proceedings of the International Conference on Graph Theory and its Applications (ICGTA 2019), held at SSN College of Engineering, Chennai during 20-21, November 2019) Vol. 11,  Special Issue  (2021), 25-29.

1. A. Anat Jaslin Jini and S. Monikandan, All Finite Topological Spaces Are Weakly Reconstructible, Springer Proceedings (Proceedings of the International Conference on Mathematical Analysis and Computing (ICMAC – 2019) held at SSN College of Engineering, Chennai during 23-24, December 2019) Vol. 344 (2021), 78-95.

1. S. Monikandan and  A. Anu, Reconstruction Number of Graphs with           Unique Pendant Vertex, Discrete Applied Mathematics (Elsevier),                              Published  online 13 June, 2020 (SCI –Journal) (IF  0.983) https://doi.org/10.1016/j.dam.2020.06.005  

1. P. Anusha Devi and S. Monikandan, Graphs with Arbitrarily Large Adversary Degree Associated Reconstruction Number AKCE Int. J. Graphs and Combin, . Vol. 17 (3) (2020),  1045-1051.    doi.org/10.1016/ j.akcej.2019.12.022.   (SCI- Journal)

1. N. Kalaimathi and S. Monikandan,  Degree Associated Edge Reconstruction Number of Split Graphs with Biregular Independent Set is one, AKCE Int. J. Graphs and Combin. Vol. 17 (3) (2020),  771-776.  doi.org/10.1016/ j.akcej.2019.12.009.   (SCI- Journal)

1. P. Devi Priya and S. Monikandan, Reconstruction of 2-connected Paw-free Graphs, AIP Conference Proceedings 2261, 030017 (2020) (Int. Conf. on Adv. Applicable. Math. held at Bharathiar University during 21-22 Feb. 2020). https://doi.org/10.1063/5.0017153. (IF 0.4)

1. A. Anat Jaslin Jini and S. Monikandan, Reconstruction of finite topological spaces with more than one isolated point, Advances in Mathematics: Scientific Journal 9 (4) (2020),  1487–1493. https://doi.org/10.37418/amsj.9.4.2.

1. A. Anat Jaslin Jini and S. Monikandan, Reconstruction properties of Bitopological spaces, proceedings of the International Conference on Mathematical, Physics and Dynamics held at Solapur, India, on Dec. 11, 2020.

1. S. Monikandan and N. Kalai Mathi, On the Strong Reconstruction of Nearly Trees Ars Combinatoria, preprint, 2019. (SCI –Journal)

1. P. Devi Priya  and S. Monikandan, Distance hereditary graphs G of connectivity two or  three and diam(G) = diam(G) = 3 are reconstructible, Indian Journal of Pure and Applied Mathematics 50 (2) (2019), 477-484.   (SCI –Journal) 

1. S. Monikandan and N. Kalai Mathi, Degree Associated Edge reconstruction Number of Split Graphs with regular Independent set is one or two, Journal of Combinatorics and Number Theory 10 ( 1) (2019), 63-73.

1. P. Devi Priya  and S. Monikandan, Reconstruction of distance hereditary                                    2-connected graphs, Discrete Mathematics (Elsevier) 341 (2018), 2326–2331.                                       (SCI –Journal) (IF  0.639) MR3810280

1. S. Monikandan and N. Kalai Mathi.,: On the Stronger Reconstruction of Nearly Acyclic Graphs, J. Combin  Maths. and  Combin. Comput, (2018) (In press)

1. Anu, A and Monikandan, S.: Nearly all biregular graphs have degree associated edge reconstruction number at most  three, Ars Combinatoria, 147 (2020) 263-280.(IF 0.259)  (SCI –Journal)                    

1. Kalaimathi, N. and Monikandan, S.,: Degree Associated Reconstruction Number of Split Graphs with Regular Independent Set, Proceedings of the International Conference on Theoretical Comp. Sci. and Discrete Math. (held at Kalasalingam University, India, December 19-21, 2016),  LNCS 10398, Springer-Verlag, Berlin, p. 106-112, 2017. MR3696712

1. Anu, A and Monikandan, S.: Degree Associated Reconstruction Number of Biregular Bipartite Graphs with Degrees Differ by At Least Two, Proceedings of the International Conference on Theoretical Comp. Sci. and Discrete Math. (held at Kalasalingam University, India, December 19-21, 2016),  LNCS 10398, Springer-Verlag, Berlin, p. 1-9, 2017. MR3696699

1. Anusha Devi, P., and Monikandan, S.,: Degree Associated Reconstruction Parameters of Total Graphs, Contributions to Discrete Mathematics, Vol. 12 (2) (2017), 77-90.   IF-0.28 (SCI –Journal) MR3739055

1. Anusha Devi, P., and Monikandan, S.,: Degree Associated Reconstruction Number of Graphs with Regular Pruned Graph, Ars Combinatoria, 134 (2017) 29-41.(IF 0.259)  (SCI –Journal) MR3677149

1. Anusha Devi, P., and Monikandan, S.,:Degree Associated Reconstruction Number of Certain Connected Digraphs with Unique End vertex, Australasian J. Combinatorics, Vol. 66 (3) (2016), 365–377.

1. Monikandan, S., and Balakumar, J.,: On pairs of graphs having n-2 cards in common, To appear in Ars Combinatoria 124 (2016) 289-302. (IF 0.268) (SCI –Journal) MR3468815

1. Anusha Devi, P., and Monikandan, S.,: Degree Associated Edge Reconstruction Number of Graphs with Regular Pruned Graph, Electron. J. Graph Theory Appl. 3 (2) (2015) 146-161. DOAJ 2338-2287 MR3417912

1. Monikandan, S., and Sundar Raj, S.,: Adversary Degree Associated Reconstruction Number, Discrete Mathematics, Algorithms and Applications, Vol. 7, No. 1 (2015) , 1450069-1 –1450069-16. MR3305479

1. Monikandan, S., and Balakumar, J.,: A Reduction of The Graph Reconstruction Conjecture, Discussiones Mathematicae Graph Theory, Vol. 34,  No. 3 (2014), 529-537. (IF 0.282) (SCI –Journal) MR3227045

1. Anu, A and Monikandan, S.: Degree Associated Reconstruction Number of Graphs Obtained by certain Graph Operations, Journal of Combinatorics, Information & System Sciences 39, No. 1-4 (2014), 135–148.

1. Monikandan, S., Anusha Devi, P., and Sundar Raj, S.,: Adversary Degree Associated Reconstruction Number of Graphs, J. of Discrete Algorithm (Elsevier), 23 (2013) 35-41. MR#3132878  (IF: 0.91).  

1. Ramachandran, S., and Monikandan, S.,: Pairs of graphs having n-2 cards in common,  Ars Combinatoria, 112 (2013) 213-224 (IF 0.204)    (SCI –Journal) MR3112577

1. Sundar Raj, S., and Monikandan, S.,: Adversary Degree Associated Reconstruction Number of Graphs obtained from Complete graphs or Cycles. J. of Combinatorics, Information and System Sciences, Vol. 37, No. 1 (2012), 75-94.

1. Monikandan, S., Sundar Raj, S., Jayasekaran, C., and Santhakumaran, A.P.,: A note on the Adversary Degree Associated Reconstruction Number of Graphs, J. of Discrete Mathematics, (2013), 5 pages, http://dx.doi.org/10.1155/2013/808105.

1. Monikandan, S., and Sundar Raj, S.,: Degree associated edge reconstruction number, Combinatorial  Algorithms, Lecture Notes in Computer Science 7643 (Springer-Verlag, Berlin, 2012), 100--109. MR3056380

1. Monikandan, S., and Balakumar, J.,: Reconstruction of bipartite graphs and triangle-free graphs with connectivity two, Australasian J. Combinatorics,       53 (2012), 141-150. MR 2961979

1. Ramachandran, S., and Monikandan, S.,: Graph Reconstruction Conjecture: Reductions using complement, connectivity and distance, Bull. of Institute of Combinatorics and Its Applications, 56 (2009), 103 –108. MR# 2010g:05250             (IF 0.2)

1. Ramachandran, S., and Monikandan, S.,: A sufficient condition for Set Reconstruction,   Ars Combinatoria, 91 (2009), 439 – 446. MR# 2010f:05126                      (IF 0.396) (SCI –Journal)

1. Ramachandran, S., and Monikandan, S.,: Graphs with n-3 isomorphic vertex-deleted subgraphs, and their reconstructibility, Utilitas Mathematica,  75 (2008), 225 – 248. MR# 2009f:05184.  (IF 0.707) (SCI –Journal)

1. Ramachandran, S., and Monikandan, S.,: All graphs are set-reconstructible if all 2-connected graphs are set-reconstructible, Ars Combinatoria, 83 (2007), 341 – 352. MR# 2007m:05170 (IF 0.315) (SCI –Journal)

1. Ramachandran, S., and Monikandan, S.,: A weaker form of Ulam’s Conjecture, Bull. of Institute of Combinatorics and Its Applications, 49 (2007), 87–92.    MR 2285525                 

1. Ramachandran, S., and Monikandan, S.,: All digraphs are N-reconstructible if all digraphs with 2- connected underlying graphs are N-reconstructible, Utilitas Mathematica 71 (2006), 225 – 234.   MR 2278835 (IF 0.707)     (SCI –Journal)

1.  Ramachandran, S., and Monikandan, S.,:  A note on the edge reconstruction problem, Int. J. of Manage. and systems  20 (2004) 229-234.

Mathematica 71 (2006), 225 – 234. MR 2278835 (IF 0.707) (SCI –Journal)