Institute of Combinatorics and its Applications

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Institute of Combinatorics and its Applications
Focusincrease visibility and influence of the combinatorial community
Charles Colbourn, President

Dalibor Froncek, Vice-president
David Pike, Vice-president
Anita Pasotti, Vice-president
Sarah Holliday, Secretary

Bryan Freyberg, Registrar

The Institute of Combinatorics and its Applications (ICA) is an international scientific organization formed in 1990 to increase the visibility and influence of the combinatorial community. In pursuit of this goal, the ICA sponsors conferences, publishes a bulletin and awards a number of medals, including the Euler, Hall, Kirkman, and Stanton Medals. It is based in Duluth, Minnesota and its operation office is housed at University of Minnesota Duluth.[1] The institute was minimally active between 2010 and 2016 and resumed its full activities in March 2016.[2]


The ICA has over 800 members in over forty countries.[3] Membership is at three levels. Members are those who have not yet completed a Ph.D. Associate Fellows are younger members who have received the Ph.D. or have published extensively; normally an Associate Fellow should hold the rank of assistant professor. Fellows are expected to be established scholars and typically have the rank of associate professor or higher. Some members are involved in highly theoretical research; there are members whose primary interest lies in education and instruction; and there are members who are heavily involved in the applications of combinatorics in statistical design, communications theory, cryptography, computer security, and other practical areas.

Although being a fellow of the ICA is not itself a highly selective honor, the ICA also maintains another class of members, "honorary fellows", people who have made "pre-eminent contributions to combinatorics or its applications". The number of living honorary fellows is limited to ten at any time. The deceased honorary fellows include H. S. M. Coxeter, Paul Erdős, Haim Hanani, Bernhard Neumann, D. H. Lehmer, Leonard Carlitz, Robert Frucht, E. M. Wright, and Horst Sachs. Living honorary fellows include S. S. Shrikhande, C. R. Rao, G. J. Simmons, Vera Sós, Henry Gould, Carsten Thomassen, and Neil Robertson.[4]


The ICA publishes the Bulletin of the ICA[5] (ISSN 1183-1278), a journal that combines publication of survey and research papers with news of members and accounts of future and past conferences. It appears three times a year, in January, May and September and usually consists of 128 pages.[3]

Beginning in 2017, the research articles in the Bulletin have been made available on an open access basis.[6]


The ICA awards the Euler Medals annually for distinguished career contributions to combinatorics by a member of the institute who is still active in research. It is named after the 18th century mathematician Leonhard Euler.

The ICA awards the Hall Medals, named after Marshall Hall, Jr., to recognize outstanding achievements by members who are not over age 40.

The ICA awards the Kirkman Medals, named after Thomas Kirkman, to recognize outstanding achievements by members who are within four years past their Ph.D.

The winners of the medals for the years between 2010 and 2015 were decided by the ICA Medals Committee between November 2016[7] and February 2017[8] after the ICA resumed its activities in 2016.

In 2016, the ICA voted to institute an ICA medal to be known as the Stanton Medal, named after Ralph Stanton, in recognition of substantial and sustained contributions, other than research, to promoting the discipline of combinatorics. The Stanton Medal honours significant lifetime contributions to promoting the discipline of combinatorics through advocacy, outreach, service, teaching and/or mentoring. At most one medal per year is to be awarded, typically to a Fellow of the ICA.

List of Euler Medal winners[edit]

Year Winners
2022 George Andrews
2021 Hendrik Van Maldeghem
2020 Marston Conder
2019 no medal awarded
2018 Dieter Jungnickel
2017 Fan Chung
2016 James Hirschfeld
2015 No medal awarded
2014 Brian Alspach
2013 Curt Lindner
2012 Alex Rosa
2011 Cheryl Praeger
2010 Bojan Mohar
2009 – no medal awarded –
2008 Gábor Korchmáros
2007 Stephen Milne, Heiko Harborth
2006 Clement W. H. Lam, Nick Wormald
2005 Ralph Faudree, Aviezri Fraenkel
2004 Doron Zeilberger, Zhu Lie
2003 Peter Cameron, Charles Colbourn
2002 Herbert Wilf
2001 Spyros Magliveras
2000 Richard A. Brualdi, Horst Sachs
1999 D. K. Ray-Chaudhuri
1998 Peter Ladislaw Hammer, Anthony Hilton
1997 – no medal awarded –
1996 J.H. van Lint
1995 Hanfried Lenz
1994 Joseph A. Thas
1993 Claude Berge, Ronald Graham

List of Hall Medal winners[edit]

Year Winners
2022 Jan De Beule and Pablo Spiga
2021 Tao Feng and Anita Pasotti
2020 Jie Ma
2019 Koen Thas and Jeroen Schillewaert
2018 Kai-Uwe Schmidt
2017 John Bamberg and Daniel Horsley
2016 – no medal awarded –
2015 Lijun Ji
2014 Peter Dukes
2013 Bart De Bruyn
2012 Michael Giudici
2011 Olga Polverino
2010 Catherine Greenhill
2009 – no medal awarded –
2008 Ian Wanless
2007 David Pike
2006 Darryn Bryant, Gennian Ge, Heather Jordon
2005 Jonathan Jedwab
2004 Dirk Hachenberger, Masaaki Harada
2003 Antonio Cossidente
2002 Saad El-Zanati
2001 Alfred Menezes, Alexander Pott
2000 Michael Henning, Klaus Metsch
1999 Hendrik Van Maldeghem, Rolf Rees
1998 Marco Buratti, Arrigo Bonisoli
1997 Reinhard Diestel
1996 Christos Koukouvinos, Christine O'Keefe, Tim Penttila
1995 Donald Kreher
1994 Ortrud Oellermann, Chris Rodger, Doug Stinson

List of Kirkman Medal winners[edit]

Year Winners
2022 Melissa Huggan, Ziqing Xiang
2021 Yujie Gu, Natasha Morrison
2020 Chong Shangguan
2019 Tao Zhang
2018 Alexander Bors, Shuxing Li
2017 Hengjia Wei, Binzhou Xia
2016 Yue Zhou
2015 Padraig Ó Catháin
2014 Daniele Bartoli
2013 Tommaso Traetta
2012 Rebecca Stones, Xiande Zhang
2011 Tao Feng
2010 Daniel Horsley, Kai-Uwe Schmidt
2009 – no medal awarded –
2008 Nick Cavenagh, Futaba Okamoto
2007 Petteri Kaski, Peter Dukes
2006 John Bamberg, Giuseppe Marino, Koen Thas
2005 Michael Giudici, Matt Walsh
2004 Andreas Enge, Jon-Lark Kim
2003 Ken-ichi Kawarabayashi, Mateja Sajna, Sanming Zhou
2002 Ian Wanless
2001 Matthew Brown, Alan Ling, Ying Miao
2000 Michael Raines
1999 Nicholas Hamilton, Qing Xiang
1998 Peter Adams, Cai Heng Li
1997 Makoto Matsumoto, Bernhard Schmidt
1996 Gregory Gutin, Patric R. J. Östergård
1995 Darryn Bryant
1994 Robert Craigen, Jonathan Jedwab

List of Stanton Medal winners[edit]

Year Winners
2022 Doug Stinson
2021 Gary Chartrand
2020 - no medal awarded -
2019 Charlie Colbourn
2018 – no medal awarded –
2017 Robin Wilson
2016 Ronald Mullin


  1. ^ "Message from the President", Bulletin of the Institute of Combinatorics and its Applications, 94, Duluth: 8, 2022, ISSN 1183-1278University of Minnesota Duluth
  2. ^ "The ICA blog: Minutes of the March 9, 2016 meeting". Retrieved February 19, 2017.
  3. ^ a b "A Few Facts About the ICA", Bulletin of the Institute of Combinatorics and its Applications, 72, Winnipeg: 15–17, 2014, ISSN 1183-1278
  4. ^ "Honorary Fellows of the ICA". Institute of Combinatorics and its Applications. Retrieved 2017-12-08.
  5. ^ "Bulletin of the ICA". Institute of Combinatorics and its Applications. Retrieved 2020-07-13.
  6. ^ "Refereed reprints from the Bulletin of the ICA". Institute of Combinatorics and its Applications. Retrieved 2020-07-13.
  7. ^ "The ICA blog: 2009–2010 Medal Winners". Retrieved April 16, 2017.
  8. ^ "The ICA blog: Medals update". Retrieved April 16, 2017.

External links[edit]