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Deepa Sinha

Professor | Dean- FMCS
PhD (University of Delhi, 2007)

Contact Details

deepasinha(at)sau.ac.in
South Asian University ,Rajpur Rd, Maidan Garhi, New Delhi, Delhi 110068
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Profile

Deepa Sinha received Ph.D. from Delhi University, India in Applied Mathematics, 2007. Earlier she did M.Sc. in Mathematics from Indian Institute of Technology, Kanpur in 1994 and since then she has been serving several Institutions for graduate and post graduate courses, particularly Khalsa Girls Degree College (1996-1999), Delhi College of Engineering (1999-2004), Banasthali University (2004-2012), Delhi TechnologicalUniversity (2012).Her Ph.D. Dissertation a New Frontiers in the Theory of Signed Graphs under the guidance of Prof. Mukti Acharya.She has guided many students in Discrete Mathematics in M.Sc., M. Phil, and Ph.D level.She is CSIR-NET qualified (twice) and had been awarded Junior research fellowship by MHRD to carry out research towards her Ph.D. at Delhi University,Delhi.She was also the member of syllabus committee in Central University, Rajasthan.She has refereed several research papers for National and International Journal of high impact factor like Discrete Applied Mathematics, Graphs and Combinatorics, International Journal of Physical Sciences etc.She has more than approx 110 research papers to her account in journals of high impact factor.She has chaired several sessions in National/ International conferences. She has guided 16 research students.

 

Qualifications

  • PhD from University of Delhi , in 2007
  • M.Sc. in Mathematics from Indian Institute of Technology, Kanpur , in 1994

Research Interests

Graph Theory and its Applications,

Discrete Mathematics

1. Link to Google Scholar  https://scholar.google.com/citations?hl=en&user=y-ydSvcAAAAJ&view_op=list_works&sortby=pubdate

2.  Link to Research gate  https://www.researchgate.net/profile/Deepa-Sinha


Recent Publications

  1. Kaur, B., Kumar, S. & Sinha,Deepa. (2024). An Alternative Technique to Find the Spectrum and Laplacian Spectrum of a Cartesian Product of Signed Graphs. National Academy Science Letters. https://doi.org/10.1007/s40009-023-01384-y 

  2. Sinha,Deepa.& Kumar, S. (2024) An algorithmic characterization and spectral analysis of canonical splitting signed graph ξ (Σ), MethodsX 12, 102517 
  3. Rao, AK., Sinha, Deepa. & Kumar, S. (2024) Spectral analysis of a graph on the special set , Discrete Mathematics, Algorithms and Applications, 2450007 
  4. Rao, AK., Kaur, B., Somra, S., & Sinha,Deepa.(2024) Spectral analysis for signed social networks, Applicable Algebra in Engineering, Communication and Computing, 1-16 
  5. Kumar, S., & Sinha,Deepa.(2024) Spectral Analysis of Splitting Signed Graph, European Journal of Pure and Applied Mathematics 17 (1), 504-518 
  6. Kaur, B., & Sinha,Deepa.(2023) Properties of derived signed graphs on Beck’s zero-divisor graph, Discrete Mathematics, Algorithms and Applications 15 (06), 2250135 
  7. Wardak, O., Sinha,Deepa., & Sethi, A. (2023). Encryption and decryption of signed graph matrices through RSA algorithm, Indian Journal of Pure and Applied Mathematics, 1-8 
  8. Sinha,Deepa., & Kaur, B.(2022) Some aspects of zero-divisor graphs for the ring of Gaussian integers modulo, Journal of Applied Mathematics and Computing, 1-13 

  9. Kaur, Bableen & Sinha, Deepa. (2022). Properties of derived signed graphs on Beck’s zero- divisor graph. Discrete Mathematics, Algorithms and Applications. 10.1142/S179383092250135X. 

  10. Wardak, Obaidullah & Dhama, Ayushi & Sinha, Deepa. (2022). On Some Properties of Addition Signed Cayley Graph Σn. Mathematics. 10. 3492. 10.3390/math10193492. 

  11. Sinha,Deepa& Wardak, Obaidullah & Dhama, Ayushi. (2022). On Some Properties of Signed Cayley Graph Sn. Mathematics. 10. 2633. 10.3390/math10152633. 

  12. Sethi, Anshu & Sinha, Deepa & Wardak, Obaidullah. (2022). Algorithmic Approach to Find S -Consistency in Common-Edge Signed Graph. MethodsX. 9. 101783. 10.1016/j.mex.2022.101783. 

  13. Kansal, Neha & Kaur, Bableen & Garg, Pravin & Sinha, Deepa. (2022). On another class of strongly perfect graphs. 10.3390/math10122014. 

  14. Deepa Sinha & Anita Kumari Rao (2022) Embedding of sign-regular signed graphs and its spectral analysis, Linear and Multilinear Algebra, 70:8, 1496- 1512, DOI: 10.1080/03081087.2020.1765954 

  15. Sinha,Deepa., & Sharma, D. (2021) Characterization of 2-path signed network, Complexity 2020, 1-13 

  16. Sinha, Deepa & Kaur, Bableen & Zaslavsky, T. (2021). The characteristic polynomial of a graph containing loops. Discrete Applied Mathematics. 300, 15 September. 97-106. 10.1016/j.dam.2021.04.025. 

  17. Sinha, Deepa & Kaur, Bableen. (2021). Some aspects of zero-divisor graphs for the ring of Gaussian integers modulo 2^𝑛. Journal of Applied Mathematics and Computing. 10.1007/s12190-021-01518-9. 

  18. Sinha, Deepa & Rao, Anita & Davvaz, Bijan. (2021). On Some Properties of Co-maximal Graphs of Commutative Rings. National Academy Science Letters. 44. 10.1007/s40009-020- 01030-x. 

  19. Sinha,Deepa., & Kaur, B. (2020) Beck’s zero-divisor graph in the realm of signed graph, National Academy Science Letters 43 (3), 263-269 
  1. Sinha,Deepa., & Sharma, D. (2020) Square Signed Graph, National Academy Science Letters 42 (6), 513-518 
  2. Sinha,Deepa& Sharma, Deepakshi. (2020). Characterization of 2-Path Signed Network. Complexity. 2000. 13 pages. 10.1155/2020/1028941. 
  3. Sinha,Deepa& Rao, Anita. (2020). Co-maximal Graph, its Planarity and Domination Number. Journal of Interconnection Networks. 20. 14. 10.1142/S021926592050005X. 
  4. Sinha,Deepa& Rao, Anita. (2020). Embedding of sign-regular signed graphs and its spectral analysis. Linear and Multilinear Algebra. 70. 1-17. 10.1080/03081087.2020.1765954. 
  5. Sinha, Deepa & Kaur, Bableen & Zaslavsky, T. (2020). The characteristic polynomial of a graph containing loops. 
  6. Sinha,Deepa., Rao, AK., & Dhama, A. (2019) Spectral analysis of t-path signed graphs, Linear and Multilinear Algebra 67 (9), 1879-1897 

  7. Sinha, Deepa & Kaur, Bableen. (2019). On Beck’s zero-divisor graph. Notes on Number Theory and Discrete Mathematics. 25. 150-157. 10.7546/nntdm.2019.25.4.150-157. 

  8. Sinha, Deepa & Kaur, Bableen. (2019). Beck’s Zero-Divisor Graph in the Realm of Signed Graph. National Academy Science Letters. 43. 10.1007/s40009-019-00836-8. 

  9. Sinha,Deepa& Sharma, Deepakshi. (2019). Square Signed Graph. National Academy Science Letters. 42. 10.1007/s40009-018-0781-4. 

  10. Sinha, Deepa & Rao, Anita. (2018). Embedding of signed regular graphs. Notes on Number Theory and Discrete Mathematics. 24. 131-141. 10.7546/nntdm.2018.24.3.131-141. 

  11. Sinha, Deepa & Sharma, Deepakshi. (2018). On the Properties of Square Signed Graph. National Academy Science Letters. 41. 10.1007/s40009-018-0643-0. 

  12. Sinha,Deepa& Garg, Pravin. (2018). Some Results on Tensor Product of a Graph and an Odd Cycle. National Academy Science Letters. 41. 10.1007/s40009-018-0642-1. 

  13. Sinha, Deepa & Rao, Anita & Dhama, Ayushi. (2018). Spectral analysis of t-path signed graphs. Linear and Multilinear Algebra. 67. 10.1080/03081087.2018.1472737. 

  14. Sinha,Deepa& Rao, Anita. (2018). Co-maximal signed graphs of commutative rings. Turkish Journal of Mathematics. 42. 10.3906/mat-1704-20. 

  15. Sinha, Deepa & Rao, Anita. (2018). A note on co-maximal graphs of commutative rings. AKCE International Journal of Graphs and Combinatorics. 15. 10.1016/j.akcej.2018.03.003. 

  16. Sinha, Deepa & Zaslavsky, T. & Wang, Tao-Ming. (2018). AKCE International Journal of Graphs and Combinatorics Special Issue: International Conference on Current Trends in Graph Theory and Computation. 

  17. Sinha,Deepa& Sharma, Deepakshi. (2018). Iterated local transitivity model for signed social networks. Applicable Algebra in Engineering, Communication and Computing. 29. 10.1007/s00200-017-0333-z. 

Awards & Honours

1. Sinha Deepa, Member, Board of Studies, School of Basic and Applied Sciences, K.R Mangalam University Gurgaon, India, 2019.
2. Sinha Deepa, Member, Advisory Group of Department of Mathematics and Scientific Computing, Madan Mohan Malviya

University of Technology, Gorakhpur, India, 2020.

3. Sinha Deepa, Fellow, India Society for Mathematical Modeling and Computer Simulation (ISMMACS), August 30, 2022.

4. Sinha, Deepa, Members of Executive Committee, India Society for Mathematical Modeling and Computer Simulation (ISMMACS), 2022 -2023.

5. Sinha Deepa, Members of Executive Committee, ACADEMY OF DISCRETE MATHEMATICS AND APPLICATIONS 2022-2024.

7. Sinha, Deepa, Joint Secretary, of Indian Academy of Mathematical Modeling and Simulation (IAMMS) 2019-2021

8. Sinha, Deepa, Vice President, Forum for Interdisciplinary Mathematics (FIM) 2021-2022

9. Sinha Deepa, Associate Editor- MATHEMATICA MORAVICA, Published by Faculty of Technical Sciences Čačak, University of Kragujevac, Department of Mathematics, Svetog Save 65, 32000 Čačak, Serbia.

8. Sinha Deepa, Associate Editor-Journal of Combinatorics, Information & System, Sciences (JCISS), A Quarterly International Scientific Journal, JCI SS is a Publication of “Forum for Interdisciplinary Mathematics (FIM)”Sciences (JCISS), A QuarterlyInternational Scientific Journal, JCI SS is a Publication of “Forum for Interdisciplinary Mathematics (FIM)”.

10. Sinha, Deepa Emerging Frontiers in Applications of Signed Graph Structures Period, DST(SERB) under MATRICS Project (PAC Mathematical Science), July 2019 – June 2022, INR Rs 6, 60,000.


Last Updated : 22 Aug 2024