Vocational Excellence Award for 30 years of dedicated and Exemplary research oriented teaching in Mathematics by Rotary Club of Tirunelveli West on March 11, 2003.
Prof. S. Arumugam Endowment for Rs. 1 Lakh has been created by my students at ManonmaniamSundaranar University, Tirunelveli on 5th August, 2004 and Prof. S. Arumugam endowment lecture is conducted every year.
President of Academy of Discrete Mathematics and Applications from June 2008 for a period of two years.
Conjoint Professor, School of Electrical Engineering and Computer Science The University of Newcastle, NSW 2308, Australia for a period of three years from 18th September 2009
Awarded Fellow of The Institute of Combinatorics and Applications (FTICA) by the Institute of Combinatorics and Applications, Canada
Adjunct Professor, Department of Computer Science, Ball State University, Muncie, Indiana 47306, USA for a period of three years starting from March 2012.
Visiting Professor, Department of Computer Science, Liverpool Hope University, Liverpool, UK for a period of two years starting from January 2012.
Under the Mathematics Genealogy Project steps have been taken towards ranking Discrete Mathematicians on the basis of Number of PhD students and PhD descendants. Prof. S. Arumugam is having second rank in this list. The first rank is occupied by Prof. Bela Bollobas from USA.
Experts from USA, South Africa and Finland are engaged in identifying Founders of Graph Theory (Country Wise). In the tentative list Prof. S. Arumugam is included as a Founder of Graph Theory in India.
Prof. S. Arumugam has been nominated as a member of the editorial board of the International Journal of Mathematics and Statistics, published from China.
Prof. S. Arumugam has been nominated as a member of the editorial board of the Communications in Combinatorics and Optimization, published from Iran.
Prof. S. Arumugam has been nominated as a reviewer of Zentral blatt Math, Germany (Springer).
Prof. S. Arumugam has been nominated as Adjunct Professor at Bits-Pilani, Goa Campus from August 2015.
Prof. S. Arumugam has been nominated as a Co-opted Member of Project Advisory Committee (Mathematical Sciences) at DST, New Delhi from September 2015 for a period of three years.
Prof. S. Arumugam has been conferred Life Time Achievement Award by GATR, Malaysia during the closing ceremony of 4th Global Conference on Business and Social Sciences held at Dubai during November 14-15, 2016
Most outstanding researcher of India Awards in Mathematics for the year 2017 by Careers 360 on 20th March 2018.