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

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.

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