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Collaborations of Indian institutions which conduct mathematical research: A study from the perspective of social network analysis

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Abstract

Expansion of knowledge in the realm of higher mathematics is highly important when progress of human society is concerned. As a fast developing country, in India we need a monitoring system which would tell us the exact nature of changes taking place in the field of mathematics. This is the motivation behind this paper. In this paper we present an analysis of the network formed by institutions which conduct research and publish articles in the field of Mathematics. Collaboration between a member of one institute and a member of another institute make a connection between the institutions. We make a comparative study of the network formed in consecutive years over a period of time giving emphasis to importance of institutions in the research network.

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Acknowledgements

The first author like to acknowledge the financial support of UGC in the form of a major research project No. 40-243/2011(SR). He is also indebted to the Institute of Mathematical Sciences, Chennai for granting financial support and giving opportunity to be an associate visitor of the institute. A part of this research is completed during this visit. The second author would like to thank the financial support given to him by UGC in the form of FDP (FIP/12th Plan/KLMG018 TF06).

Author information

Authors and Affiliations

  1. Department of Mathematics, N. S. S. College, Cherthala, India

    K. Reji Kumar

  2. St. Dominics College, Kanjirappally, Kottayam, India

    Shibu Manuel

Authors
  1. K. Reji Kumar
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  2. Shibu Manuel
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Corresponding author

Correspondence to K. Reji Kumar.

Appendices

Appendix 1: Indian institutions

Institution code

Institution name

6-MATSCI

Institute of Mathematical Sciences, CIT Campus, Chennai

6-TIFR-SM

School of Mathematics, Tata Institute of Fundamental Research, Mumbai

6-IIS

Department of Mathematics, Indian Institute of Science, Bangalore

6-IIT

Department of Mathematics, Indian Institute of Technology, Mumbai

6-IITK-MS

Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur

6-IITM

Department of Mathematics, Indian Institute of Technology, Chennai

6-ISI-PAU

Physics and Applied Mathematics Unit, Indian Statistical Institute, Calcutta

6-TIFR2-CAM

Centre for Applicable Mathematics (CAM), Tata Institute of Fundamental Research, Bangalore

6-HCRI

Harish-Chandra Research Institute, Jhunsi, UP

6-BCBS

S. N. Bose National Center for Basic Science, Calcutta

6-IITKH

Department of Mathematics, Indian Institute of Technology, Kharagpur

6-IITG

Department of Mathematics, Indian Institute of Technology, Guwahati

6-IIS-HEP

Centre for High Energy Physics, Indian Institute of Science, Bangalore

6-IIT-ME

Department of Mechanical Engineering, Indian Institute of Technology, Mumbai

6-BITS-NDM

Birla Institute of Technology and Science, Pilani

6-ISI-SMU

Statistics-Mathematics Unit, Indian Statistical Institute, Calcutta

6-ALIGE-AM

Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh

6-IITR

Department of Mathematics, Indian Institute of Technology, Roorkee

6-CMI

Chennai Mathematical Institute, Siruseri Chennai

6-BURD

Department of Mathematics, Burdwan University. Burdwan

6-BITS

Department of Mathematics, Birla Institute of Technology and Science, Pilani

6-IITK-NDM

Indian Institute of Technology, Kanpur

6-MYSO-STM

Department of Studies in Mathematics, University of Mysore, Mysore

6-JDVP

Department of Mathematics, Jadavpur University, Calcutta

6-DELHI

Department of Mathematics, University of Delhi, Delhi

6-ISI-ACM

Advanced Computing and Microelectronics Unit, ISI, Calcutta

6-NNREC

Nalla Narsimha Reddy Engineering College, Chowdariguda

6-TIFR-NDM

Tata Institute of Fundamental Research, Mumbai

6-MSFTI

Microsoft Research India, Bangalore (Bengaluru)

6-TIFR-STC

School of Technology and Computer Science, TIFR, Mumbai

Appendix 2: Foreign institutions

Institution code

Institution name

3-WTRL-PM

Department of Pure Mathematics, University of Waterloo, Canada

3-QEN

Department of Mathematics and Statistics, Queen’s University, CANADA

1-FL-BME

Department of Biomedical Engineering, University of Florida, Gainesville

1-PRIN

Department of Mathematics, Princeton University, Princeton, NJ

1-ILCC-MS

Department of Mathematics, Statistics and Computer Science, University of Illinois, Chicago

NL-EIND

Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, The Netherlands

F-NANC-IE

Institut Élie Cartan (IECN), Université de Nancy I (Henri Poincaré), France

1-CUNYS

Department of Mathematics, College of Staten Island, CUNY, Staten Island NY

F-TOUL3-IM

Institut de Mathématiques, Université de Toulouse III, France

CH-ETHZ

Department of Mathematics (D-MATH), Eidgenössische TH, Zürich, Germany

N-BERG-I

Department of Informatics, University of Bergen,Norway

RCH-UCS-CMM

Centro de Modelamiento Matemático, University of Chile, Santiago, Chile

F-METZ-ITA

Laboratoire de l’Informatique Théorique et Appliquée (LITA), Université Paul Verlaine-Metz, France

I-ROME3-AEL

Dipartimento di Elettronica Applicata, TerzaUniversità di Roma, Italy

I-ROME3-P

Dipartimento di Fisica, TerzaUniversità di Roma, Italy

1-CHI

Department of Mathematics, University of Chicago, Chicago

1-AZS-BE

Department of Bioengineering, Arizona State University, Tempe

4-DRHM-SEC

School of Engineering and Computer Science, University of Durham, England

1-NSWC-CD

Carderock Division, Naval Surface Warfare Center, West Bethesda

NL-EIND

Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, The Netherlands

SAR-UPAM-MS

Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Saudi Arabia

D-MPI-I

Max-Planck-Institut für Informatik, D-66123 Saarbrücken, Germany

R-WTMC-NDM

Faculty of Mathematics and Computer Science, West University of Timişoara, Romania

R-BAC

Department of Mathematics, Universitatea Bacău, Bacău, Romania

GR-UATH

Department of Mathematics, University of Athens, Greece

D-MNZ-IM

Institut für Mathematik, Johannes Gutenberg-Universität Mainz, Germany

D-BRNS-AN

Institut für Analysis, TU Braunschweig, Braunschweig, Germany

SE-KRASC-NDM

Faculty of Science, Kragujevac SvetozarMarkovic University, Kragujevac, Serbia

PRC-NNK-CB

Center for Combinatorics, Nankai University, Tianjin, People Republic of China

1-UCSD-NDM

University of California, San Diego, La Jolla San Diego CA 92093

IL-BGUN

Department of Mathematics, Ben Gurion University of the Negev, Israel

1-UCSD-CS

Department of Computer Science and Engineering, University of California, San Diego, La Jolla CA

4-LNDHB-NDM

Royal Holloway and Bedford New College, University of London, Egham, Surrey, England

SA-UJ-NDM

University of Johannesburg, Auckland Park, Johannesburg, South Africa

SAR-JAZU-M

Department of Mathematics, Jazan University Jizan, Saudi Arabia

SAR-ABDS

Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia

SAR-RYAD

Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

D-MPI-I

Max-Planck-Institut für Informatik, Saarbrücken, Germany

1-NY-X

Courant Institute of Mathematical Sciences (CIMS), New York University, New York NY

J-YAMASE-AS

Department of Applied Science, Faculty of Engineering, Yamaguchi University, Ube YAMAU, Japan

1-TXAM3

Department of Mathematics, Texas A & M University, Kingsville TX 78363

D-FSU-NDM

Friedrich-Schiller-Universität, Jena, Germany

D-AACH-NDM

RWTH Aachen, Aachen, Germany

I-PLRM-MIF

Department of Mathematics and Informatics, Università di Palermo, Palermo, Italy

F-PARIS7-FA

Laboratoired Informatique et d’Algorithmique: Fondements et Applications (LIAFA), Université de Paris VII (Denis Diderot), Paris, France

4-LSTR

Department of Mathematics, University of Leicester, Leicester, England

MAL-UPM

Department of Mathematics, Universiti Putra Malaysia, Serdang, Malaysia

TR-ATL-M

Department of Mathematics, Atılım University, İncekGölbaşı, Turkey

1-TX-C

Department of Computer Science, University of Texas, Austin

MEX-NAM3-MI

Mathematical Institute, National Autonomous University of Mexico (UNAM), Juriquilla Querétaro 76230, Mexico

1-CMU-C

Department of Computer Science, Carnegie-Mellon University, Pittsburgh PA

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Reji Kumar, K., Manuel, S. Collaborations of Indian institutions which conduct mathematical research: A study from the perspective of social network analysis. Scientometrics 117, 1041–1051 (2018). https://doi.org/10.1007/s11192-018-2898-0

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