Dr. Ankur Bharali

Dr. Ankur Bharali
Dr. Ankur Bharali
...
Qtr. No. TW/14 Dibrugarh University Campus
9954293291
Associate Professor
Mathematics

Profile

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 (Autonomous), Assam, India.

Awards/ Fellowships/Other qualifications

  • NET-JRF in June 2008
  • GATE in Feb 2008
  • JAM in 2005 

CURRENT POSITION

Associate Professor in the Dept. of Mathematics, Dibrugarh University. 

Area of Interest

Chemical Graph Theory, Complex Networks

Contact

Mobile No: 9954293291

Email: [email protected]
               [email protected] 

OTHER RESPONSIBILITIES 

  • Head, Dept of Mathematics, Dibrugarh University from 28 May 2020
  • Member, Dibrugarh University Court from January 2020
  • Member, Board of Studies in Mathematics, J B College (Autonomous), Jorhat
  • Member, DRC in Mathematics, Dibrugarh University
  • 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

1

Nijara Konch

A study of degree-based topological

Indices in graphs

Awarded

B. Barooah 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 some chemical structures

Submitted

-

5

Idweep Jyoti Gogoi 

Area: Graph energy

Ongoing

-

6

Aditya Pegu   

Area: Topological indices and graph operations

 

Ongoing

-

Ph. D.

1

Dimpee Baruah

An investigation of airport network of India: A complex network approach 

Ongoing

(Dec 2016)

Majuli

College

2

Amitav Doley 

A study on topological indices of graphs 

Ongoing

(Sep 2017)

D. H. S. K.

College

3

Abhigyan Mahanta

Spectral properties of some degree-based topological indices of graphs 

Ongoing

(June 2019)

D. K. D.

College

4

Jibonjyoti Buragohain

Generalization and modification of some topological indices of graphs and their applications

Ongoing

(June 2019)

Pragjyotish

College

 

RESEARCH PROJECT 

Completed UGC-Major Project of Rs. 10,47,400 entitled “Study on Graph Theoretic Modeling in Traffic Control Problems” during 2011-2014 as Co-Investigator. (S.L. No.: 39-54/2010(SR))

Talk/Seminar/Workshop/Conference Attended

  • 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 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 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 9th 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 Organised

  • 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)

 

 

 

Publications

Selected Research Articles (2018 Onwards)

1.  Doley A., Buragohain J., Bharali A. (2020) Inverse sum indeg status index of graphs and its applications to octane isomers and benzenoid hydrocarbons. Chemometrics and Intelligent Laboratory Systems (Accepted). Elsevier.

2.  Bharali A., Doley A., Buragohain J. (2020) Entire Forgotten Topological Index of Graphs. Proyecciones Journal of Mathematics (Accepted).

3.  Deka B., Bharali A. (2020) The Generalized ISI index of Some Derived Networks. J. Adv. Math. Stud., Vol 13, No. 2 (Accepted).

4.  Buragohain J., Deka B., Bharali A. (2020) A Generalized ISI Index of Some Chemical Structures, J. of Molecular Structure. Vol. 1208, p. 127843. Elsevier.

5.  Deka B., Bharali A. (2020) Computing General Zagreb Indices of Some Carbon Nanotubes, Mathematical Forum. Vol. 27, pp. 101-122.

6.  Baruah D., Bharali A. (2020) Analysis of Three Major Airline Networks of India: A Complex Network Approach. In: Bhattacharyya S., et al. (eds) Mathematical Modeling and Computational Tools. ICACM 2018. Springer Proceedings in Mathematics & Statistics, Vol 320, pp. 50-5013. Springer, Singapore.

7. Doley A., Bharali A. (2020) The Inverse Sum Indeg Index for R-sum of Graphs. In: Bhattacharyya S., et al. (eds) Mathematical Modeling and Computational Tools. ICACM 2018. Springer Proceedings in Mathematics & Statistics, Vol. 320, pp. 347-357. Springer, Singapore.

8.  Mahanta A., Bharali A., Buragohain J. (2020) The ISI Index of Edge-Semitotal and Total Graphs. In: Bhattacharyya S., et al. (eds) Mathematical Modeling and Computational Tools. ICACM 2018. Springer Proceedings in Mathematics & Statistics, Vol 320, pp. 391-402. Springer, Singapore.

9.  Buragohain J., Bharali A., Mahanta A. (2020) Four New Operations of Graphs Related to Tensor Product and Zagreb Indices. In: Bhattacharyya S., et al. (eds) Mathematical Modeling and Computational Tools. ICACM 2018. Springer Proceedings in Mathematics & Statistics, Vol 320, pp. 403-412. Springer, Singapore.

10. Doley A., Deka B., Bharali A. (2020) Misbalance degree matrix and related energy of graphs. J. Mathematics and Computational Science, Vol. 10, No. 3, pp. 436-447.

11. Baruah D., Bharali A. (2019) Comparison of the Airline Networks of India with ANI Based on Network Parameters. In: Deka B., et al. (eds) Pattern Recognition and Machine Intelligence. PReMI 2019. Lecture Notes in Computer Science, Vol 11941, pp. 74-81. Springer, Cham.

12. Bharali A., Mahanta A., Buragohain J. (2019) Forgotten topological index and reduced Zagreb index of four new operations of graphs. General Mathematics, Vol. 27, No. 1, pp. 45-56. Sciendo(De Gruyter).

13. Doley A., Buragohain J., Bharali A. (2019) Inverse Sum Indeg Index of Subdivision, t-Subdivision Graphs, and Related Sums. In: Madhumangal Pal et al. (eds.) Handbook of Research on Advanced Applications of Graph Theory in Modern Society, pp. 104-119. IGI Global, USA.

14. Buragohain J., Bharali A. (2019) A Novel Weighted First Zagreb Index of Graph. In: Madhumangal Pal et al. (eds.) Handbook of Research on Advanced Applications of Graph Theory in Modern Society, pp. 92-103. IGI Global, USA.

15. Bharali A., Mahanta A., Buragohain J. (2019) On Zagreb indices of two new operations of graphs. Communications in Mathematics and Applications, Vol. 10, No. 3, pp. 415-427.

16. Doley A., Bharali A. (2019) Some bounds on inverse sum indeg index of some graph operations. Advances and Applications in Discrete Mathematics, Vol. 21, No. 2, pp. 119-137.

17. Bharali A., Baruah D. (2019) On network criticality in robustness analysis of a network structure. Malaya Journal of Matematik, Vol. 7, No. 2, pp. 223-229, 2019.

18.  Bharali A., Konch N. (2019) Some results on Augmented Zagreb index of some Trees and Unicyclic graphs. Creative Mathematics and Informatics, Vol. 28, No. 1, pp. 41-47.

19. Bharali A. (2018) A graph theoretic approach to quantify the conflict of traffic streams in a traffic intersection. Res. & Rev.: Discrete Mathematical Structures, Vol. 5, No. 2, pp. 22-25.

20. Bharali A. (2018) On multiplicative Zagreb indices of two new operations of graphs. Advances in Inequalities and Applications, 2018:14.

21. Bharali A., Baruah D. (2018) On structure and robustness of airport network of India. Res. & Rev.: Discrete Mathematical Structures, Vol. 5, No. 2, pp. 26-33.

22. Bharali A., Bora R. (2018) Computation of some degree based topological indices of silicates layer. Annals of Pure & Applied Mathematics, Vol. 16, No. 2, pp. 287-293.

  Book

  1.  Edited "Numerical Analysis and Scientific Computing", a Self Learning Material of DODL, Dibrugarh University, 2017, ISBN: 978-93-82785-66-8. 
  2. Traffic Control Problems: A graph theoretic approach, Lap Lambert Academic Publishing, Germany, December 2016, ISBN: 978-3-659-97939-2.

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) 

   

 

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