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Computational aspects of the Helly property: a survey
2006
Journal of the Brazilian Computer Society
In 1923, Eduard Helly published his celebrated theorem, which originated the well known Helly property. Say that a family of subsets has the Helly property when every subfamily of it, formed by pairwise intersecting subsets, contains a common element. There are many generalizations of this property which are relevant to some parts of mathematics and several applications in computer science. In this work, we survey computational aspects of the Helly property. The main focus is algorithmic. That
doi:10.1590/s0104-65002006000200002
fatcat:xoccurn6tnctpdyxuphsvnhsgy