Hliněný, Petr Using a computer in matroid theory research. (English) Zbl 1063.05030 Acta Univ. M. Belii, Ser. Math. 11, 27-44 (2004). The author introduces his computer program Macek for structural computations with matroids representable over finite (partial) fields. Using his program, he is able to find all the 56 ternary excluded minors for the class of branch-width 3. He uses the result that a ternary excluded minor of the class of branch-width 3 has at most 14 elements [R. Hall, J. Oxley, C. Semple and G. Whittle, J. Comb. Theory, Ser. B 86, 148–171 (2002; Zbl 1034.05011)]. Reviewer: David L. Forge (Orsay) Cited in 2 Documents MSC: 05B35 Combinatorial aspects of matroids and geometric lattices 68R05 Combinatorics in computer science Keywords:matroid extension; branch-width; minors Citations:Zbl 1034.05011 PDFBibTeX XMLCite \textit{P. Hliněný}, Acta Univ. M. Belii, Ser. Math. 11, 27--44 (2004; Zbl 1063.05030)