a)Co-Investigator, ‘Discrete Geometry and its Applications, DAE (1986-90).

b)Principal Investigator, Some Problems in Convexity of discrete planes and its Applications, UGC (1991-93).

c)Principal Investigator, Convexity Problems in Graphs UGC (1996-97)

d)Principal Investigator, Fuzzy graph modelling and its Applications UGC(2001-2003)

e)Principal Investigator, Some problems in Graph Classes, NBHM (2010-13).

a)Reviewer : Mathematical Reviews of American Math.Society (1988 - ), Zentralblatt Math (2006 - )

b)Regional Coordinator, Indian National Mathematical Olympiad (National Board for Higher Mathematics, Department of Atomic Energy) (1990 – 2017).

c)Centre Coordinator for the PG and Ph.D. scholarship exams of NBHM (-2017)

d)Referee: Discrete Mathematics, Fuzzy Sets and Systems , Utilitas Mathematica, Algorithmica, Indian Journal of Pure and Applied Mathematics, Journal of Indian Mathematical Society , Discrete Applied Mathematics, Palastine Journal of Mathematics,AKCE International Journal of Graphs and Combinatorics etc.

e)Mentor, INSPIRE ( Department of Science and Technology , GOI ) : NIT Calicut (December 2011), University of Kerala (May 2012), S.H. College , Thevara (January 2012, September 2012, January 2015), Devamatha College,Kuravilangad (July 2014), Srimad Andavan Arts and Science College, Trichy (February 2016, October 2016, November 2018 ), Noorul Islam University (October 2016), Central University of Kasaragod (December 2017, 2018) and SHE of DST.

f) Member, EDitorial Board, Palestine Journal of Mathematics (2022-

a)B. Radhakrishnan Nair - Triangle Number in a Graph and Related Topics - Cochin University of Science and Technology (1995).

b) K.S. Parvathy - Studies on Convex Structures with emphasis on Convexity in Graphs - Cochin University of Science and Technology (1997).

c) M.S. Sunitha - Studies on Fuzzy Graphs - Cochin University of Science and Technology (2002).

d) G. Indulal - Studies on the Spectrum and the Energy of Graphs - Cochin University of Science and Technology (2007). 

e) Aparna Lakshmanan,S. – Studies on Some Graph Classes - Cochin University of Science and Technology (2009).

f) Manju K. Menon – Studies on Some Graph Operators and Related Topics- Cochin University of Science and Technology (2010).

g) Seema Varghese – Studies on Some Generalizations of Line Graph and the Power Domination Problem in Graphs – Cochin University of Science and Technology (2011).

h) Chitra, M.R - Some topics in graph products ( Cochin University of Science and Technology (2014).

i) Pravas K - Studies on the root graphs of some graph operators ( Cochin University of Science and Technology (2017 ).

j)  Seethu Varghese – Studies on the power domination problems in graphs (Cochin University of Science and Technology ( 2017 ).

k) Savitha Viswanathan – Studies on the Network Topological properties of Some Graph Classes (Cochin University of Science and Technology) (2018).

l)  Anu Varghese – Studies on the Spectra and Energy of Adjacency and Distance Matrices of Graphs (Cochin University of Science and Technology)((2019).

m) Tijo James- Studies on the Domination Game in Graphs (Cochin University of Science and Technology)( 2020). 

n) Rasila V.A. – Studies on Some Steiner Distance Notions in Graphs (Cochin University of Science and Technology) (2022).

•Member, Editorial Board, NBHM - RMS Mathematics News Letter (1999-2007).

•Member, Editorial Board, Resonance, Indian Academy of Sciences(2007- 2011).

•Member, Editorial Board, TEJUS- News Letter of CUSAT (2001-2015).

•Member, Editorial Board, ANANTHATHA- A Mathematics Magazine in Malayalam. 

•Consultant, Ananthathe Arinja Aal , Malayalam translation of ‘The Man Who Knew Infinity’, by Robert Kanigal, published by Kerala Language Institute.August 2013.

•Member, Editorial Board, Little Mathematics Treasures, Ramanujan Mathematical Society (2012- 2017).

•Associate Editor, BhAvanA, The News Letter of The Mathematics Consortium ( 2016-2017).

•Member , Editorial Board, The Bulletin of the Mathematics Consortium (2020- ).

•Editor/Managing Editor, The Palestine Journal of Mathematics (2022, 2024-)

•Editor, Journal of Indian Mathematical Society(2024 -)

Under ‘Erudite’ Scheme of Kerala State Higher Education Council

• Daniella Ferrero, Texas State University, USA (2009).

• Paul Dorbec, University of Bordeaux, France (2013),.

• Andreas M Hinz, LMU, Munich, Germany(2014).

• Wasin So, San Jose University, USA(2016).

Other Research Collaborations

• Tao Ming Wang, Thunghai University, Taiwan.

• Steve Kirkland, University of Manitoba, Canada.

• Sandi Klavžar, University of Ljubljana, Slovenia.

• Matjas Kovse, IIT Bhubaneswar.

• Ivan Gutman,,University of Kragujevac, Serbia 

• Zoran Stanic,University of Belgrade, Belgrade

• Severino Gervacio,De La Salle University , Philippines