Matroids with nine elements

Gordon Royle, D. Mayhew

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)


We describe the computation of a catalogue containing all matroids with up to nine elements, and present some fundamental data arising from this catalogue. Our computation confirms and extends the results obtained in the 1960s by Blackburn, Crapo and Higgs. The matroids and associated data are stored in an on-line database, and we give three short examples of the use of this database.
Original languageEnglish
Pages (from-to)415-431
JournalJournal of combinatorial Theory Series B
Issue number2
Publication statusPublished - 2008


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