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

- Brief-Bio
- Teaching Responsibilities
- Sponsored Projects
- Publications
- Research Guidance
- Scholastic Achievements
- Outreach Activities
- Upcoming Events/Activities

**Education**

**Education**

Department of Mathematics,*Ph.D Mathematics(2008)*,**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

JBAS Womens’ College,*B.Sc. Mathematics(2001)*,**University of Madras,**Chennai**.**

**Teaching**

**Teaching**

Indian Institute of Technology (BHU) Varanasi, since December 2016*Assistant Professor*,**.**SRM Research Institute, SRM Institute of Science and Technology, Kattankulathur, Tamilnadu, India, during February 2013 to November 2016*Research Assistant Professor*,**.**

**Research**

**Research**

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

__Courses Currently Teaching (Even Semester 2017-18):__

__Courses Currently Teaching (Even Semester 2017-18):__- MA 102: Engineering Mathematics-II
- CSO 322: Theory of Computation
- Co Mentor, Universal Human Values for PhD Students

**Courses Taught at IIT(BHU):**

**Courses Taught at IIT(BHU):**- MA 102: Engineering Mathematics - II
- CSO 322: Theory of Computation
- CSO 204N: Discrete Mathematics

**Courses Taught at SRM University:**

**Courses Taught at SRM University:**- Advanced Graph Theory (PhD 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)

**Principle Investigator for the Funded Research Project titled**: A Different Perspective of Spectral Graph Theory in the Structural Characterization of Networks, DST- SERB, INDIA .__Amount of Grant:__Rs. 14,04,000/-__Duration:__August 2014 - February 2018.

**Principal Investigator for Seed Grant from IIT(BHU), Varanasi:**__Amount of Grant:__Rs. 4,20,000/-__Duration:__August 2017-March 2018.

__Published in Journals:__

__Published in Journals:__- 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

__Conference Proceedings:__

__Conference Proceedings:__**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**.**

### __Published as Book Chapters:__

__Published as Book Chapters:__- Dehmer M,
**Lavanya Sivakumar,**On Comparability Graphs: Theory and Applications, In Advances in Mathematical Chemistry and Applications, Vol 1, 2014. - 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 **

**Ph.D**

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

**PG Project Supervision:**

**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.
- (Ongoing) Mr. Sourav
- (Ongoing) Ms. Swetha Rayala

**UG Project Supervision:**

**UG Project Supervision:**- Mr. Sourav
- (Ongoing) Mr. Hitesh Kumar

**Summer Intern Supervision:**

**Summer Intern Supervision:**- 2017: Ayush Ranjan Lohani, Undergraduate Student, Department Of Information Technology, Indian Institute of Engineering Science and Technology ,Shibpur

__Awards and Fellowships:__

__Awards and Fellowships:__*Post-doctoral fellowship*from National Board of Higher Mathematics, Department of Atomic Energy, India, 2009.*Senior research fellowship*from 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:__

__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

** ****Guest Lectures/Invited Talk**

**Guest Lectures/Invited Talk**

- Invited Talk on “Dominator Sequences in Hypercubes and the Forcing Set Conjecture” at the Symposium on “Interactions of Algebra and Discrete Mathematics”, 83
^{rd}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 5
^{th}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, Sept 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):

QIP& CEP Short Term Course on Advances in Graph Theory with Applications to Network Sciences:

http://www.agtans2018.iitbhu.ac.in