Institute of Combinatorics and its Applications

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The Institute of Combinatorics and its Applications (ICA) is an international scientific organization. It was formed in 1990 and is based in Winnipeg, Canada.

Aim and membership[edit]

The ICA's aim is to increase the visibility and the influence of the combinatorial community. It has over 800 members in over forty countries.[1]

Membership in the ICA 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.


The ICA publishes the Bulletin of the ICA (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.[1]


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.

List of Euler Medal winners[edit]

Year Winners
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 Hammer, Anthony Hilton
1997 none
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
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
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


  1. ^ a b "A Few Facts About the ICA", Bulletin of the Institute of Combinatorics and its Applications (Winnipeg) 72, 2014: 15–17, ISSN 1183-1278