Geodesic
Solution to a Matroid Problem Posed by D. J. A. Welsh
Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 129-131

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The pair (S, M) is a matroid if S is a finite set and M a collection of subsets of S such that (1) every subset of a set of M is in M, and (2) all maximal sets in M have a common cardinality. The span of a set A ⊂ S is Γ(A) where y ∈ Γ (A) if and only if y ∈ A or there is A' ⊂ A, A' ∈ M and {y} ∪ A' ∉ M. A maximal set in M is called a base. 
Bean, D. T. Solution to a Matroid Problem Posed by D. J. A. Welsh. Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 129-131. doi: 10.4153/CMB-1969-011-x
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     title = {Solution to a {Matroid} {Problem} {Posed} by {D.} {J.} {A.} {Welsh}},
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     year = {1969},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-011-x/}
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