Research
Areas of research interest
Matroid Theory, Graph Theory, Combinatorics and Discrete Mathematics.
Research Projects undertaken/ Grants received
1. Completed a research project On “Analysis of graph algorithms and time complexity”, 2013. Sponsored by BCUD, Pune University.
2. Completed a research project on "A study of several splitting operations on binary matroids in the context of connectivity and forbidden minors", 2017. Sponsored by BCUD, S. P. Pune University.
3. Received CSIR foreign travel grant for attending 19th ICMCSE, Berlin, Germany, 21-22 May 2017.
Publications
A P Narke, P P Malavadkar, M M Shikare, I Gutman, On path-Equienergentic graphs, Bull. Int. Math. Virtual Inst., 13(2)(2023), 233–237 .
S. Gunjal, U. Jagadale, P. Malavadka, Generalized splitting and element splitting operations on p-matroid, The Mathematics Student Vol. 92, Nos. 3-4, July-December (2023), 175–186.
SJ, V K Kalyani, K Naik, P Malavadkar, Effects of Artificial Boundaries on SH-Waves Propagation in a Weiskopf type Anisotropic Liquid-Filled Porous Medium, The Journal of Indian Geophysical Union 27 (2) (2023), 96-108.
P. P. Malavadkar, S. B. Dhotre and M. M. Shikare On n- connected minors of the es-splitting binary matroids, Electron. J. Graph Theory Appl. (EJGTA) 9 (2) (2021), 265–275.
P. P. Malavadkar, S. B. Dhotre and M. M. Shikare The closure operator, flats and hyperplanes of es-splitting matroid, Journal of the Indian Math. Soc.(JIMS), Vol. 88, Nos. (3 - 4) (2021), 334–345.
P. P. Malavadkar, S. B. Dhotre and M. M. Shikare, Forbidden-minors for the class of cographic maroids which yield the graphic element splitting matroids, Southeast Asian Bull. Math. 43(1) (2019), 105-119.
M. M. Shikare, P. P. Malavadkar, S. C. Patekar and I. Gutman, On the path eigenvalues and path energy of graphs, Match Commun. Math. Compt. Chem. 79(2) (2018), 387-398.
P. P. Malavadkar, M. M. Shikare and S. B. Dhotre, A Characterization of Cocircuits of an es-Splitting Matroid, J. Comb. Math. Comb. Comput., 105 (2018), 247-258.
S. B. Dhotre, P. P. Malavadkar and M. M. Shikare, On 3-connected es-splitting binary matroids, Asian-European J. Math. 9(1) (2016), 1650017 1-10.
P. P. Malavadkar, M. M. Shikare and S. B. Dhotre, A characterization of n-connected splitting matroids, Asian-European J. Math. 7(4) (2014), 14500601-7.
M. M. Shikare, S. B. Dhotre and P. P. Malavadkar, A Forbidden-minor characterization for the class of regular matroids which yield the cographic es-splitting Matroids, Lobachevskii J. Math. 34(2) (2013), 173–180.
A. M. Dhere, C. A. Shingte, P. P. Malavadkar and J. A. Pawar, Application of Software Technology for Air Pollution Prediction Model, Nature, Environment and Pollution Technology 10 (1)(2011), 77-79.
Conference Papers and Talks
Chaired contributory paper presentation session at the 88th annual conference of The Indian Mathematical Society: An international meet, Birla Institute of Technology, Mesra, Ranchi, Dec 27-30, 2022.
The es-Splitting operation for matroids representable over prime fields GF(p), 52nd Southeastern International Conference on Combinatorics, Graph Theory and Computing at Florida Atlantic University, USA, March 8-12, 2021.
Splitting operation for matroids representable over finite fields of prime order, 85th Annual Conference of IMS, IIT Kharagpur, 22-25th Nov 2019. Received IMS Prize for best paper.
A forbidden minor characterization for the class of cographic maroids, 19th ICMCSE, Berlin, Germany, 21-22 May 2017. Received Best Paper Award.
A note on connectivity of matroids, NCPAM, COEP, Pune, 17-19 May 2017.
Construction of 4-connected graphic matroids, NCDM, Dept. of Mathematics, S. P. Pune University, Pune, 21-23 Feb 2017.
On n-connected minors of es-splitting matroids, 40th ACCMCC, University of Newcastle, Australia, 12-16 Dec 2016.
On connectivity of es-splitting matroids, ICDM-2016, SIT, Tumakuru, Karnataka, 9-1 June 2016.
Characterization of Cocircuits of es-splitting matroids, 81th Annual Conference of IMS, VNIT, Nagpur, Dec 2015.
Some results on element splitting operation and es-splitting operation on binary matroids, Regional Research Conference “INNOVATION 2015”, S P Pune University, Pune 7 th August 2015.
On n-connected splitting matroids, 80th Annual Conference of IMS, ISM, Dhanbad, 27-30 Dec 2014.
A characterization of n-connected matroids, 79th Annual Conference of IMS, Kochi, 28-31 Dec 2013.
On forbidden minor characterization for the class of regular matroids, NCDM, Dept. of Mathematics, University of Pune, 22nd -24th Dec 2012.
Conference, Seminars, Workshops and FDPs attended
Invited talk in the Five Days National Level FDP on Recent Advances in Mathematics organized by the Department of Mathematics, School of Advanced Sciences, VIT, Vellore, 8 th – 12th August 2022.
Completed FDP on Data Science from E & ICT Academy, IIT Kanpur, 15th to 26th March 2021 (2 Weeks).
PH525.2x: Introduction to Linear Models and Matrix Algebra, an online learning course offered by HarvardX, an initiative of Harvard University, June 2020.
FDP on Innovative Teaching Skills for Mathematics Teachers, Lokmanya Tilak Chair, Dept. Maths. S.P.P.U, Pune, 12-18 Nov 2018.
Visited the Mathematics Institute of Jussieu, Pierre & Marie Curie University, Paris, France, on 26th May, 2017.
Invited as Session Chair for the research paper presentations in 19th ICMCSE, Berlin, Germany, 21-22 May 2017.
1st Workshop on Applied Probability and Combinatorial Optimization, University of Newcastle, Newcastle, Australia, 17th Dec 2016.
1st National Teachers Congress, MIT, Pune, 23-24 September 2016.
Invited as Session Chair for the research paper presentations in NCRTCACM, Indira College of commerce and science, Pune, 16th to 17th Jan 2015.
Organized One Day Workshop On “Mathematics Practical For S.Y. B.Sc. (Comp. Sci.)” at Indira College Of Commerce and Science, Pune., 8th Feb 2010.
Resource Person at “A Seminar on Scilab 5.1” In Rajmata Jijau College, Bhosari, Pune. Jan 2010.
General Orientation Programme at ASC, Pune University, 3rd to 30th Nov 2009.
Refresher Course in Mathematics at ASC, Pune University, 31st March to 20th April 2008.
4-Day Workshop on “Scilab Software” At Bhaskaracharya Prathisthan, Pune. 31st July to 3rd Aug 2009.
73rd Annual Conference of IMS, COEP, Pune, 27th to 30th Dec 2007.
International conference on Fuzzy Mathematics and its Applications at Ahamednagar, Maharashtra, India, 27th to 29th Jan 2007.