lavanyas.mat's picture
Dr. Lavanya Selvaganesh
Assistant Professor
Department of Mathematical Sciences
lavanyas.mat@iitbhu.ac.in
+91-9841339208
Area of Interest: 
Graph Theory and Network Sciences, Graph Embedding, Survivable Routing in Networks, Spectral graph theory, Algorithms and Computational Complexity, Quantitative Analysis of Complex Networks

Academic Positions 

  • Assistant Professor, Indian Institute of Technology (BHU) Varanasi, since December 2016.
  • Visiting Researcher, University of Waterloo, Canada, during June 2019 - August 2019.
  • Research Assistant Professor, SRM Research Institute, SRM Institute of Science and Technology, Kattankulathur, Tamilnadu, India, during February 2013 - November 2016.   

Research

  • Post Doctoral Fellow, Institute of Mathematical Sciences(IMSc), Chennai, March 2012 – January 2013.
  • Research Associate, Institute of Bioinformatics and Translational Research, UMIT - The Health and Life Sciences University, Austria,  May 2010 – September 2011.
  • NBHM Post Doctoral Fellow, Institute of Mathematical Sciences(IMSc), Chennai, August 2009 – May 2010.
  • Visiting Research Fellow, University of Oklahoma, Norman, USA, February 2009 – May 2009.

Education

  • Ph.D. Mathematics(2008), Department of Mathematics, Indian Institute of Technology Madras, India.
    • Thesis Title: Optimal Embedding of Trees in Interconnection Networks 
  • M.Sc. Mathematics(2003)Department of Mathematics, Indian Institute of Technology Madras, India.
    • Dissertation On: A Study of Public Key Cryptosystems
  • B.Sc. Mathematics(2001), JBAS Womens’ College, University of Madras, Chennai.  

​Courses Currently Teaching (Odd Semester 2020-2021):

  • CSO 323: Graph Theory and its Applications

Courses Currently Teaching (Even Semester 2019-2020):

  • MA 101: Engineering Mathematics-II
  • CSO 322: Theory of Computation 

Courses Teaching/Taught(several times) at IIT(BHU) : 

  • MA 101: Engineering Mathematics-I
  • MA 102: Engineering Mathematics - II 
  • CSO 204N: Discrete Mathematics(Odd  Semesters)
  • CSO 322: Theory of Computation(Even Semesters)
  • Universal Human Values - I
  • Universal Human Values - II 
  • Universal Human Values for Ph.D. Students 

Courses Taught at SRM University:

  • Advanced Graph Theory (Ph.D. Level Course)
  • Discrete Mathematics (UG Level Course)
  • Data Structures and Algorithms (M.Sc. Course)
  • Probability Theory and Mathematical Statistics (M.Sc. Course)
  • Boolean Algebra (M.Sc. Course, redesigned by me)
  • Algebra (M.Sc. Course)
  • Functional Analysis (M.Sc. Course)
  • Complex Analysis (M.Sc. Course)
  1. Principle Investigator for the Funded Research Project (MATRICS) titled: Applications of Spectral Graph Theory in analyzing the structural properties of large scale networks, SERB, INDIA, 2019 - 2021.  
  2. Principal Investigator for Seed Grant from IIT(BHU), Varanasi:    
    • Amount of Grant:  Rs. 4,20,000/- 
    • Duration: August 2017-March 2018.  
  3. Principle Investigator for the Funded Research Project titled: A Different Perspective of Spectral Graph Theory in the Structural Characterization of Networks, SERB, INDIA. 
    • Amount of Grant: Rs. 14,04,000/-
    • Duration: August 2014 - February 2018.

    Publications:

    • Sivakumar Karunakaran and Lavanya Selvaganesh, A Novel Graph Matrix Representation: Sequence of Neighbourhood matrices with an application, SN Appl. Sci. 2, 944,  2020. https://doi.org/10.1007/s42452-020-2635-1
    • S. Lavanya, B. Jayaram, S. Arumugam and K. Thulasiraman, Virtual Topologies for Topology Abstraction Service for IP-VPNs, 17th International Telecommunications Network Strategy and Planning Symposium (NETWORKS 2016), Montreal, QC, IEEE Conference Proceedings, 2016, pp.213-220. doi: 10.1109/NETWKS.2016.7751178.   
    • Dehmer M., Lavanya Sivakumar and Varmuza K, Uniquely Discriminating Molecular Structures Using Novel Eigenvalue-Based Descriptors, MATCH Commun. Math. Comput. Chem., 67:1, 147-172, 2012.
    • Dehmer M and Lavanya Sivakumar,  Recent Developments in Quantitative Graph Theory: Information Inequalities for Networks, PLoS ONE 7(2): e31395, 2012. doi:10.1371/journal.pone.0031395  
    • Dehmer M and Lavanya Sivakumar, Towards Information Inequalities and Generalized Graph Entropies, PLoS ONE 7(2): e38159, 2012. doi:10.1371/journal.pone.0038159 
    • Dehmer M., Lavanya Sivakumar and Varmuza K, On Distance-Based Entropy Measures. In: Gutman I., Furtula B. (Eds): Distance in Molecular Graphs, Mathematical Chemistry Monographs 12, 123-138, 2011. http://www.pmf.kg.ac.rs/match/contentMCM12.html  
    • S. Lavanya and S.A. Choudum, Embedding a Subclass of Trees into Hypercubes, Discrete Mathematics, 311, 866-871, 2011. http://dx.doi.org/10.1016/j.disc.2011.02.011 
    • S. Lavanya, S.A.Choudum and V. Sunitha, Disjoint Paths in Hypercubes with Prescribed Origins and Lengths, International Journal of Computer Mathematics, 87:8,1692-1708, 2010. http://dx.doi.org/10.1080/00207160802566805
    • S.A.Choudum, S. Lavanya and V. Sunitha, Embedding Double Starlike Trees Into Hypercubes, International Journal of Computer Mathematics, 88:1, 1-5, 2011. Available online at: http://dx.doi.org/10.1080/00207160903406554 
    • S. Lavanya and S.A. Choudum, Complete k-ary trees and Hamming graphs, Australasian Journal of Combinatorics, 45, 15-24, 2009. http://ajc.maths.uq.edu.au/?page=get volumes&volume=45
    • S. Lavanya and S.A. Choudum, Embedding Complete Ternary Trees Into Hypercubes, Discussiones Mathematicae Graph Theory, 28(3), 463-476, 2008. http://dx.doi.org/10.7151/dmgt.1420 

     Published as Book Chapters:

    • Dehmer, M., Sivakumar, L. (2015). On Comparability Graphs: Theory and Applications. In Advances in Mathematical Chemistry and Applications: Revised Edition (Vol. 1, pp. 139–160). Elsevier Inc. https://doi.org/10.1016/B978-1-68108-198-4.50007-2
    • Dehmer M, Lavanya Sivakumar, On Comparability Graphs: Theory and Applications, In Advances in Mathematical Chemistry and Applications, Vol 1, 2014, 21 pages. 
    • S.A. Choudum, S. Lavanya, V. Sunitha, Introduction to Interconnection Networks, In   Handbook of Graph Theory, Combinatorial Optimization and Algorithms, Eds. K. Thulasiraman, T. Nishizeki, S. Arumugam, and A.Brandstädt, CRC Press, Taylor and Francis Group, 2015. 
    • S. Lakshmivarahan, S. Lavanya, S.K. Dhall, Cayley Graphs, In Handbook of Graph Theory, Combinatorial Optimization and Algorithms, Eds. K. Thulasiraman, T. Nishizeki, S. Arumugam, and A.Brandstädt, CRC Press, Taylor and Francis Group, 2015. 
    • S.A. Choudum, S. Lavanya, V. Sunitha, Graph Embedding and Interconnection Networks, In Handbook of Graph Theory, Combinatorial Optimization and Algorithms, Eds. K. Thulasiraman, T. Nishizeki, S. Arumugam, and A.Brandstädt, CRC Press, Taylor and Francis Group, 2015. 

    Ph.D. (As Supervisor): 

    • Mr. K. Sivakumar (Ongoing from SRM Research Institute, SRM Institute of Science and Technology): Spectral Characterizations of Graphs 
    • Mr. Ajay Kumar, UGC JRF, Ongoing. 
    • Mr. Abhay Rajpoot, UGC JRF, Ongoing. 
    • Ms. Nisha Singh, Part-time, Ongoing. 
    • Ms. Jesmina Pervin, UGC JRF, Ongoing

    Ph.D. (as Co-Supervisor): 

    • Mr. Ajay Kumar Patel (as Co-Supervisor), Ongoing. 

    PG Project Supervision:

    • Ms. Ruchika Modi: Refining Social Graph Connectivity by Network Augmentation, 2018. 
    • Mr. K. Naveen Kumar: Optimizing information propagation across multiple social networks, 2018. 
    • Mr. Sourav, Ensemble Predictive Modelling:  An implementation on the real world dataset and a review, 2019
    • Ms. Swetha Rayala, Community Detection in networks: An implementation of modularity maximization technique, 2019.  
    • Mr. Hitesh Kumar, Image Deblur Techniques for Image Sensitivity and Captioning, 2020.
    • Mr. Akash Kumar Gupta(Ongoing), Efficient Influence Maximization in Social Networks. 

    UG Project Supervision:

    • Mr. Jogi Miglani, Stream Project (Ongoing). 
    • Mr. Shourrya Srivastava, Stream Project (Ongoing). 
    • Mr. Sourav, Machine learning and its applications to Networks, 2017 
    • Mr. Hitesh Kumar, Automatic Image Captioning using Deep Learning techniques, 2018
    • Mr. Akash Kumar Gupta, Efficient Influence Maximization in Social Networks, 2019.

    Summer Intern Supervision:

    • 2017: Ayush Ranjan Lohani, Undergraduate Student, Department Of Information Technology, Indian Institute of Engineering Science and Technology, Shibpur 

    Awards and Fellowships:

    • Post-doctoral fellowship from National Board of Higher Mathematics, Department of Atomic Energy, India, 2009.
    • Senior research fellowship from the Council of Scientific and Industrial Research(CSIR), India, 2008.
    • Secured All-India Rank 10 with a percentile score of 99.26 in "GATE 2003".
    • Merit Scholarship during M.Sc. from Indian Institute of Technology Madras, India, 2001 - 2003.
    • First Prize in Inter-Collegiate Math Olympiad at Stella Maris College, Chennai, India, 2001.

    Memberships: 

    • Life Member, Academy of Discrete Mathematics and Applications, India.
    • Life Member, Indian Mathematical Society.
    • Life Member, Ramanujan Mathematical Society.
    • Life Member, Indian Science Congress Association
    • Life Member, European Society of Mathematical Chemistry.
    • Member, American Mathematical Society.
    • Member, European Mathematical Society.
    • Member, Society for Industrial and Applied Mathematics
    • Member, International Linear Algebra Society 

     Guest Lectures/Invited Talk

    • Invited Talk on "Statistical Methods for Machine learning" at the One-day National Level webinar on Mathematics in Machine Learning organized by Department of Mathematics, SSN College of Engineering, May 20, 2020. 
    • Invited Talk on “A novel and efficient structural descriptor to test graph isomorphism” at the Banaras Hindu University Mathematical Society Conference on Emerging Trends in Combinatorics and its Applications, BHU Varanasi, February 22 - 23, 2019. 
    • Invited talk on “A novel and efficient structural descriptor to measure graph similarity”, at the International Conference on Graph Theory (ICGTA 2019) held at Amrita University, Coimbatore, India, January 4 - 6, 2019.
    • Invited Talk on “Refining Social Network Connectivity via Network Augmentation”, at the International Conference on Discrete Mathematics and Network Sciences (ICDMANS 2018) held at BITS Pilani, Goa Campus, India, July 7 – 10, 2018.  
    • Series of 10 lectures on “Spectral Graph Theory and its applications” at the ACM-India Summer School on “Graph Theory and  Graph Algorithms” held at PSG College of Technology, Coimbatore, India, May 21- June 08, 2018.
    • Invited talk on “Dominator Sequences in Hypercubes and the Forcing Set Conjecture” at the Symposium on “Interactions of Algebra and Discrete Mathematics”, 83rd Annual Conference of Indian Mathematical Society, Sri Venkateshwara University, Tirupati, Andhra Pradesh, India, December 12-15, 2017.
    • Invited talk on “AL-Matrix: Properties and Applications” at 5th India-Taiwan Conference on Discrete Mathematics (ITCDM), Taipei, Taiwan, July 18 - 21, 2017.
    • Series of lectures on “Interconnection Networks: Properties and Applications”, at Workshop on Interconnection Networks, Amrita University, Coimbatore, India, April 24-28, 2017
    • Invited talk on “Network Sciences and Applications”, at Workshop on Interconnection Networks, Amrita University, Coimbatore, India, April 24-28, 2017
    • Invited talk on “A Novel Algorithm to reconstruct graph using pseudospectrum”, at International Conference on Discrete Mathematics (ICDM-2016), Siddaganga Institute of Technology, Tumkur, June 10, 2016.
    • Invited Talk on LATEX: How and Why!, at SSN College of Engineering, Chennai, April 19, 2013.
    • Invited Talk on LATEX: What next!, at SSN College of Engineering, Chennai, April 20, 2013.
    • A series of lectures on “Cayley Graphs”, during the Summer student program, IMSc, June 4-7, 2012.
    • Talk on “Information inequalities and complexity measures for graphs”, at Institute Seminar Week, IMSc, March 28, 2012.
    • Invited Talk on “Structural Complexity of Networks”, at VIT, February 16, 2012.
    • Talk on “Information Inequalities for Networks”, at UMIT, February 16, 2011.
    • Talk on “Information Inequalities for Chemical Graphs”, at International Conference on Applied Mathematics, ICAM 7, September 02, 2010.
    • Invited Talk on “Cycles and Chromatic Number”, at Kalasalingam University, Srivilliputhur, March 15, 2010.
    • Invited speaker at the National Seminar on GTAAN’s at SCSVMV Deemed University, Kancheepuram, July 21, 2009.
    • Invited Talk on “Embedding Trees in Hypercubes”, at SCSVMV Deemed University, Kancheepuram, July 15, 2009.
    • Invited Talk on “Recent Trends in Graph Embeddings”, at School of Computer Science, University of Oklahoma, April 03, 2009.

      Seminars/ Conferences (Upcoming):

      GIAN Course on "Network Science and Multi-Agent Systems" during December 2020. 

      Seminars/ Conferences/Events (Concluded):

      • VI-India-Taiwan Conference on Discrete Mathematics (6th ITCDM-2019) during November 15 - 18 2019. 
        More details are available on the Conference Webpage (Click here

      • ​QIP& CEP Short Term Course on Advances in Graph Theory with Applications to Network Sciences during 6-11 August 2018. 
        http://www.agtans2018.iitbhu.ac.in 

      For Prospective Ph.D. Positions

      Prospective Ph.D. Students of my Group must have sound knowledge in mathematics  (especially in Graph Theory, Linear Algebra, Algebra) and Theoretical Computer Science (in Data structures and Algorithms).
      Students interested to work on Network Science is desired to have knowledge of Machine learning, Probability and Statistics.
      Students of Electrical engineering interested to work in graph theoretic applications of electrical networks are also welcome.  
       
      Ph.D. interviews at IIT (BHU), in general, are held two times a year;  in May/June for odd semester and in November/December for even semester. The admission procedure details can be found on IIT (BHU) website. 

      Postdoctoral Positions

      Several postdoctoral funding options are available through external agencies, for example SERB-NPDF, NBHM, etc. If you are interested to apply for any of these fellowships with me as supersvisor, please do not hesitate to contact me via email.