Education

Ph. D., in Mathematics, Dibrugarh University, India.

Thesis Title: Study on Some Graph Theoretical Aspects of Traffic Control Problems.

Supervisor: Prof. A. K. Baruah.

M. Sc., in Mathematics & Computing

Indian Institute of Technology Guwahati, India.

B. Sc., in Mathematics  (Best Graduate)

J. B. College, Assam under Dibrugarh University, India.

Awards/ Fellowships/Other qualifications

• Teachers Associateship for Research Excellence (TARE) from SERB, DST (2021-24)
• International Travel Support (ITS) from SERB, DST in July 2016
• Joint CSIR-UGC JRF(NET) 
• JAM, GATE qualified
• Best Graduate of Dibrugarh University in 2005

Current Position

Professor & HOD 

Areas of Interest

Chemical Graph Theory, Complex Networks

Contact

+919954293291(M)

 0373-2370251(O)

Email: [email protected]
             [email protected] 

Research Profile

https://vidwan.inflibnet.ac.in/profile/245434

Other Responsibilities 

• Board Member, Board of Secondary Education (SEBA), Assam (2021-)
• Member, Academic Council, Dibrugarh University (2020-)
• Member, Dibrugarh University Court (2020)
• Member, Board of Studies in Mathematics, J B College (Autonomous), Jorhat (2018-)
• Member, Board of Management (BoM) of Centre for Computer Science and Application, Dibrugarh University (2021-)
• Chairperson, Board of Studies in Mathematics, Dibrugarh University (2020-)
• Member, CIQA, DODL, Dibrugarh University (2020-)
• Chairperson, DRC in Mathematics, Dibrugarh University (2020-)
• Chairperson, DMC in Mathematics, Dibrugarh University in 2018
• Member, DMC in Mathematics, Dibrugarh University

Research Scholars

M. Phil.
S. No.	Name	Topic	Status	Current Affiliation/Position
1	Nijara Konch	A study of degree-based topological Indices in graphs	Awarded	B. Borooah College
2	Abhigyan Mahanta	On three degree-based topological Indices of graphs	Awarded	D. K. D College
3	Jibonjyoti Buragohain	A study on Randić index and Zagreb indices of graphs	Awarded	Pragjyotish College
4	Budheswar Deka	Generalization of two topological indices and chemical graphs	Awarded	D. D. R. College
5	Idweep Jyoti Gogoi	A Study on certain spectra of graph	Awarded	-
6	Aditya Pegu	First Hyper Zagreb index and some generalization of Topological indices	Awarded	CSIR-JRF
7	Monjit Chamoua	A Study on Certain Graph olynomials Based on Topological Indices	Awarded	-
Ph. D.
1	Ms. Dimpee Baruah	An investigation of Airport network of India: A Complex network approach	Awarded   (Oct 2021)	Majuli College
2	Mr. Amitav Doley	A study on topological indices of graphs	Awarded (Sept 2021)	D. H. S. K. College
3	Mr. Jibonjyoti Buragohain	Generalization and Modification of Some Topological Indices of Graphs and their Applications	Awarded (Nov 2022)	Pragjyotish College
4	Mr. Abhigyan Mahanta	Spectral Properties of Some Degree-Based Topological Indices of Graphs	Awarded (Jan 2023)	D. K. D. College
5	Ms. Nijara Konch	A Study on Aα-spectra of Graphs	Ongoing (Mar 2021)	B. Borooah College
6	Ms. Priyanka Agarwal	A Study on Topological Indices of Random Graphs	Ongoing (Dec 2021)	Dibrugarh University
7	Mr. Sumanta Borah	A Study on Some Aα-like Matrices of Graphs	Ongoing (Dec 2021)	DST Inspire Fellow
8	Md. Essa Nazari	A Study on Some Graph Polynomials and Degree-Based Topological Indices	Ongoing (Dec 2021)	ICCR Fellow (Foreign Scholar)
9	Mr Idweep J Gogoi	On Some Graph Energies and Topological Indices	Ongoing (June 2022)	DURF
10	Mr Aditya Pegu	Predictive Potential of Topological Indices for Chemical Structures	Ongoing (May 2022)	CSIR SRF

Talk/Seminar/Workshop/Conference Attended

• Nominated to participate in a Three-day workshop on Leadership Development for University Deans and Head of Departments, organized by National Institute of Educational Planning and Administration (NIEPA), New Delhi during 23-25 November 2022. 
• Invited to deliver a talk on Publication Ethics, organized by Birangana Sati Sadhani Rajyik Visavidyalaya, Assam on 05 November 2022.
• Invited to deliver a talk on Linear Algebra at the Annual Lecture Program by Dept of Mathematics, B. Borooah College, Guwahati on 16 July 2022.
• Invited to deliver a talk in National Webinar on Linear Algebra & Number Theory, organized by Dept of Mathematics, Kohima Science College (An Autonomous Govt P. G. College), Nagaland on November 9, 2021.
• Invited to deliver a talk in Enrichment Lecture Series, organized by Dept. of Mathematics, USTM, Meghalaya on October 4, 2021.
• Invited to deliver a talk in the 5-day FDP on Artificial Intelligence under ATAL Academy, organized by UCET, Vinoba Bhave University, Jharkhand during 20-24 September, 2021.
• Delivered a talk on ''Some Results Related to Inverse Sum Indeg Index of Graphs" in 7th IFS and Comtemporary Mathematics, held in Turkey during May 25-29, 2021 
• Invited to deliver a talk in TEQIP workshop on Mathematics and its Applications in Engineering & Technology, organized by Vinoba Bhabe University, Jharkhand during February 22-24, 2021.
• Invited to deliver a talk in the workshop on Domination Theory and Topological Indices, organized by Mangalore University during February 4-6, 2021.
• Invited to deliver a talk in the International Conference on recent trends in Graph Theory, organized by Karnatak University during July 27-29, 2020.
• Invited to deliver a talk in the national workshop on Analysis and Linear Algebra, organized by DHSK College, Assam during July 23-24, 2020.
• Invited to deliver a talk on "Network criticality and a novel measure of functionality of network" in the International Webinar on Recent Trends in Pure and Applied Mathematics, organized by Raghunathpur College, West Bengal during July 9-11, 2020.
• Invited to deliver a talk on "Data Clustering in Machine Learning: An Introduction" in workshop on "Data Analysis with R" organized by Centre for Computer Science and Applications, DU on 25 October, 2019.
• Invited to deliver a talk on "Linear Algebra and its Applications in Engineering Sciences" in TEQIP STC organized by DUIET, Dibrugarh University during 12-16 August, 2019.
• Participated in TEQIP STC on “Scientific Computing and Industrial Problems” organized by IIT Kharagpur during 19-23 November, 2018.
• Invited to deliver lectures on "Linear Algebra" in the "Orientation Program for NET" organized by Department of Mathematics, Gauhati University on 17 February, 2018. 
• Invited to deliver a talk on “Geometric approach to linear algebra” organized by Kakojan College, Jorhat on 26 August, 2017.
• Presented a paper entitled “Eigenvector centrality and network criticality in analysis of robustness and reliability for road traffic networks” in 9^th IMA International conference on Modelling in industrial maintenance and reliability (MIMAR) at Imperial College London during July 12-14, 2016. (sponsored by DST under ITS)
• Participated in a workshop on “Development of self-learning materials” organized by Distance and Open Learning, DU during June 15-21, 2015.
• Presented a paper entitled “On eigenvector centrality as a measure of compatibility of a traffic intersection” in International seminar on Game theory and its applications to Social and Economic networks, organised by Department of Mathematics, Dibrugarh University during December 10-12, 2014.
• Invited to deliver a talk on “Mathematical computation using MATLAB” organised by J. B. College, Jorhat on 28 Jan, 2014.
• Presented a paper entitled “On robustness of traffic networks” in RTMA-2013 organised by Digboi College during October 7-8, 2013.
• Participated in a workshop on “Development of self-learning materials” organised by Distance and Open Learning, DU during February 17-23, 2013.
• Presented a paper entitled “A measurement of compatibility of a traffic intersection” in NSMA organised by Dept. of Mathematics, Burdwan University during March 28-29, 2012.
• Participated in a workshop on “Introduction to graph and geometric algorithms” organised by IIT Guwahati during October 21-23, 2011.
• Acted as a Resource person in “Excursion in Mathematics” sponsored by NBHM organised by Assam Academy of Mathematics during July 1-6, 2011.
• Participated in workshop on “Numerical and Statistical computation using MATLAB software” organised by Department of Statistics, Dibrugarh university during March 21-25, 2011.

 Workshop/Conference Organized

• International Conference on Mathematical Modelling in Applied Sciences during June 28-30, 2020 as Convener.
• Teachers Enrichment Workshop (TEW) on Real Analysis, Algebra and Linear Algebra during Sep 30-Oct 5, 2019. (Sponsored by National Centre for Mathematics) (Jointly with Dr Palash Dutta)
• National Workshop on Network Modelling and Graph Theory during December 14-16, 2017. (Sponsored by UGC)

 

 

 

Research Article

       Recent Publications (from 2019 onwards) 

1. Monjit Chamua, Rubul Moran, Aditya Pegu, A. Bharali (2022) M-Polynomial and Neighbourhood M-polynomial of Somce Concise Drug Structures: Azacitidine, Decitabine and Guadecitabine, J. of Molecular Structure, 1263, p. 133197, https://doi.org/10.1016/j.molstruc.2022.133197
2. Priyanak Agarwal, A Bharali, M. Cancan, M R Farahani, M. Alaeiyan (2022) The Variance, Skewness and Limiting Behavior of the Wiener Index for Random Pentagonal Chain, Mathematical Statistician and Engineering Applications, 71(3s3), pp. 25-37.
3. M. Chamua, J Buragohain, A Bharali, M E Nazari (2022) Predictive Ability of Neighborhood Degree Sum Based Topological Indices of Polycyclic Aromatic hydrocarbons, Jour of Molecular Structure, 1270, 133904, https://doi.org/10.1016/j.molstruc.2022.133904 
4. M E Nazari, M. Chamua, A Bharali, N K Sarma, R. Saikia (2022) M-Polynomial of Some Operations of Path and K-Banhatti Indices, Mathematical Statistician and Engineering Applications, 71(3s3), pp. 38-55
5. Abhigyan Mahanta, Idweep J. Gogoi, A. Bharali (2021) A note on the generalized adjacency, Laplacian and signless Laplacian spectra of the weighted edge corona networks, Physica A, 581, p. 126241.
6. A. Bharali, J. Buragohain, A. Doley (2022) QSPR Analysis of Some Novel Extension and Generalization of Sombor Index, Iranian J. of Mathematical Chemistry, 13(1), pp.73-84. 10.22052/IJMC.2022.246111.1613
7. Idweep J. Gogoi, Monjit Chamua, A. Bharali (2023) Computation of M-polynomial and Topological indices of Boron Kagome Lattice, Biointerface Research in Applied Chemistry, 13(1), p.59.
8. Abhigyan Mahanata, Idweep J. Gogoi, A. Bharali (2022) A note on Zagreb Spectra and Zagreb Laplacian Spectra of Two Weighted Corona Networks, Advanced Mathematical Models & Applications, 7(1), pp. 60-68.
9. A. Bharali, Aditya Pegu, J. Buragohain, Budheswar Deka (2021) Generalized ISI index of Certain Families of Nanostar Dendrimers, Journal of Interdisciplinary Mathematics, 24(7), pp. 2021-2034.
10. A. Bharali, Aditya Pegu, Priyanka Agarwal, Monjit Chamua (2021) On M-Polynomial and Some Topological Indices of Favipiravir (T-705) and Ribavirin, Journal of Discrete Mathematical Sciences & Cryptography, 24(7), pp. 2121-2135.
11. Bablee Phukan, Idweep J. Gogoi, A. Bharali (2021) Adjacency and Laplacian Spectra of New Graph Operations Based on Indu-Bala Product of Graphs, J. Adv. Math. Stud. 14(3), pp. 362-371.
12. Rubul Moran, Niranjan Bora, A. K. Baruah, A. Bharali (2021) ST-coloring of Some Products of Graphs, J. Math. Comput. Sci., 11(1), pp. 337-347.
13. I. J. Gogoi, B. Phukan, A. Pegu, A. Bharali (2021) On Laplacian spectra of some corona product graphs and applications, Advances in Mathematics: Scientific Journal, 10(3), pp. 1259-1271. 
14. A. Bharali, A. Mahanta, I. J. Gogoi, Amitav Doley (2020)  Inverse Sum Indeg Index and ISI Matrix of Graphs, Journal of Discrete Mathematical Sciences & Cryptography, 23(6), pp. 1315-1333.
15. A. Bharali, A. Doley, J. Buragohain (2020) Entire forgotten topological index of graphs, Proyecciones 39(4), pp. 1019-1032.
16. J. Buragohain, A. Mahanta, A. Bharali (2020) Four new operations of graphs and Zagreb indices, J. Math. Comput. Sci. 10(6), pp. 2516-2531.
17. Amitav Doley, J. Buragohain, A. Bharali (2020) Inverse sum indeg status index of graphs and its applications to octane isomers and benzenoid hydrocarbons, Chemometrics and Intelligent Laboratory Systems 203, p. 104059.
18. R. Moran, N. Bora, A. K. Baruah, A. Bharali (2020) ST-coloring of Join and Disjoin union of graphs, Advances in Mathematics: Scientific Journal, 9(11), pp. 9393-9399.
19. Budheswar Deka, A. Bharali (2020) The Generalized ISI index of Some Derived Networks, J. Adv. Math. Stud. 13 (2), pp. 179-191.
20. J. Buragohain, B. Deka, A. Bharali (2020) A Generalized ISI Index of Some Chemical Structures, J. of Molecular Structure 1208, p. 127843.
21. Budheswar Deka, A. Bharali (2020) Computing General Zagreb Indices of Some Carbon Nanotubes, Math. Forum 27,  pp. 101-122.
22. A. Mahanta, J. Buragohain, A. Bharali (2020) The ISI Index of Edge-Semitotal and Total Graphs, Mathematical Modeling and Computational Tools, Springer Proceedings in Mathematics & Statistics 320, pp. 391-402.
23. Amitav Doley, A. Bharali (2020) The Inverse Sum Indegree Index for R-sum of Graphs, Mathematical Modeling and Computational Tools, Springer Proceedings in Mathematics & Statistics 320,  pp. 347-357.
24. Dimpee Baruah, A. Bharali (2020) Analysis of Three Major Airline Networks of India: A Complex Network Approach, Mathematical Modeling and Computational Tools, Springer Proceedings in Mathematics & Statistics 320, pp. 503-513.
25. J Buragohain, A. Mahanta, A. Bharali (2020) Four New Operations of Graphs Related to Tensor Product and Zagreb Indices, Mathematical Modeling and Computational Tools, Springer Proceedings in Mathematics & Statistics 320, pp. 403-412.
26. Amitav Doley, Budheswar Deka, A. Bharali (2020) Misbalance Degree matrix and related Energy of Graphs, J. Math. Comput. Sci. 10 (3), pp. 436-447.
27. Dimpee Baruah, A. Bharali (2019) Comparison of the Airline Networks of India with ANI Based on Network Parameters, Lecture Notes in Computer Science 11941, pp. 74-81.
28. A. Bharali, J Buragohain, A. Mahanta (2019) On Zagreb indices of two new operations of graphs, Comm. Math. Appl. 10(3), pp. 415-427.
29. A. Bharali, A. Mahanta, J. Buragohain (2019) Forgotten topological index and reduced Zagreb index of four new operations of graphs, Gen. Math. 27(1), pp. 45-56.
30. Amitav Doley, A. Bharali (2019) Some bounds on inverse sum indeg index of some graph operations, Adv. Appl. Discr. Math. 21(2), pp. 119-137.
31. A. Bharali, Dimpee Baruah (2019) On network criticality in robustness analysis of a network structure, Malaya Journal of Matematik 7(2), pp. 223-229.
32. A. Bharali, Nijara Konch (2019) Some results on augmented Zagreb index of some trees and unicyclic graphs, Creat. Math. Inform. 28(1), pp. 41-47.

Book

1.  Edited "Numerical Analysis and Scientific Computing", a Self Learning Material of DODL, Dibrugarh University, 2017, ISBN: 978-93-82785-66-8. 
2. Edited "Operations Research", a Self Learning Material of DODL, Dibrugarh University, 2018, ISBN: 978-93-82785-92-7.

Chapter in a book

1. Inverse sum indegree index of subdivision, t-subdivision graphs and related sums, in Pal, M., et al. (Eds.) Handbook of Research on Advanced Applications of Graph Theory in Modern Society, 104-119, 2019, IGI-global, USA. (with A. Doley and J. Buragohain)  
2. A novel weighted First Zagreb index of graph, in Pal, M., et al. (Eds.) Handbook of Research on Advanced Applications of Graph Theory in Modern Society, 92-103, 2019, IGI-global, USA. (with J. Buragohain)
3. Some S-degree Based Topological Indices of Silicates Layer, in Rodini, L. G. (Ed.) Advances in Mathematics and Computer Science, Vol. 4, 53-60, 2019. (with B. Deka and A. Mahanta)
4. On Randic index and its related matrices,  in Advanced Mathematics: Theory and Applications (Vol II), ed. Taekyun Kim, 297-309, 2018 (with J. Buragohain) 
5. S degree and R degree based Topological Indices, in Advanced Mathematics: Theory and Applications (Vol II), ed. Taekyun Kim, 331-341, 2018 (with Rajdeep Bora)  
6. Centrality Measures in Complex Network Analysis: A Case Study, in Advanced Mathematics: Theory and Applications (Vol II), ed. Taekyun Kim, 357-364, 2018 (with Dimpee Baruah) 
7. A Note on ABC Matrix and ABC energy, in Advanced Mathematics: Theory and Applications (Vol II), ed. Taekyun Kim, 287-296, 2018 (with A. Mahanta)
8. A brief survey on some topological indices of graphs and their applications, in Srotasviní, ed. Niraj Baruah, et al., 177-185, 2018 (with A. Doley)
9. Supply chain system in e-tailing as a complex network, in Digital India-a road ahead, ed. Tazyn Rahman, 151-155, 2017 (with Dimpee Baruah)
10. Complete set of signal groups of traffic streams in an isolated traffic intersection, in Advanced Mathematics: Theory and Applications, ed. Taekyun Kim, 163-173, 2017. (with A. K. Baruah) 

   

 

M. Sc. :  Algebra, Linear Algebra, Real Analysis, Complex Analysis, Algebraic Graph Theory, Probability Theory and Statistics, C-Programming and FORTRAN.

M. Phil. : Complex Networks and Graph Measures

Ph. D. : Traffic Theory and Graph Measures, Linear Algebra and Real Analysis 

1. TARE (2021-2024): SERB, DST funded project on Randic Matrix and ABC Matrix of Graphs under Teachers Associateship for Research Excellence, in collaboration with IIT Guwahati. Total Amount: Rs. 18.30 Lacs. (File No.: TAR/2021/000045)

2. UGC Major Project (2011-14): UGC funded project on Graph Theoretic Modeling in Traffic Control Problems (with Prof. A K Baruah). Total Amount: Rs. 10.47 Lacs. (Sanction Letter No.:39-54/2010 (SR))