The Centre for Interdisciplinary Research in Computational Algebra (CIRCA) was established in 2000 to foster new and existing collaborative research between members of the Schools of Computer Science and of Mathematics and Statistics in the area of computational abstract algebra.

For more information please visit the Centre for Interdisciplinary Research in Computational Algebra (CIRCA) home page.

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Recent Submissions

  • Topological graph inverse semigroups 

    Mesyan, Z.; Mitchell, J. D.; Morayne, M.; Péresse, Y. H. (2016-08-01) - Journal article
    To every directed graph E one can associate a graph inverse semigroup G(E), where elements roughly correspond to possible paths in E . These semigroups generalize polycyclic monoids, and they arise in the study of Leavitt ...
  • Z4-codes and their Gray map images as orthogonal arrays 

    Cameron, Peter Jephson; Kusuma, Josephine; Solé, Patrick (2017-07) - Journal article
    A classic result of Delsarte connects the strength (as orthogonal array) of a linear code with the minimum weight of its dual: the former is one less than the latter. Since the paper of Hammons et al., there is a lot of ...
  • Highest rank of a polytope for An 

    Cameron, Peter Jephson; Fernandes, Maria Elisa; Leemans, Dimitri; Mixer, Mark (2017-04-28) - Journal article
    We prove that the highest rank of a string C-group constructed from an alternating group Altn is 0 if n = 3, 4, 6, 7, 8; 3 if n = 5; 4 if n = 9; 5 if n = 10; 6 if n = 11; and the floor of (n-1)/2 if n ≥ 12. This solves a ...
  • The Missing Link! A new skeleton for evolutionary multi-agent systems in Erlang 

    Stypka, Jan; Turek, Wojciech; Byrski, Aleksander; Kisiel-Dorohinicki, Marek; Barwell, Adam David; Brown, Christopher Mark; Hammond, Kevin; Janjic, Vladimir (2017-04-26) - Journal article
    Evolutionary multi-agent systems (EMAS) play a critical role in many artificial intelligence applications that are in use today. In this paper, we present a new generic skeleton in Erlang for parallel EMAS computations. ...
  • Generating sets of finite groups 

    Cameron, Peter Jephson; Lucchini, Andrea; Roney-Dougal, Colva Mary (2017-04-02) - Journal article
    We investigate the extent to which the exchange relation holds in finite groups G. We define a new equivalence relation ≡m, where two elements are equivalent if each can be substituted for the other in any generating set ...

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