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Gallai-type Results for Multiple Boxes and Forests
1988
European journal of combinatorics (Print)
Gallai-type statements considered here have the next general form: ifF is a finite family of subsets of some underlying space such that every k members (k ;;. 2) have a common point then there exist t points meeting every member of F. Concerning the interplay of the parameters k and t, we obtain results for two generalizations of multiple interval structures: ford-dimensional multiple boxes and for subforests of an underlying tree. In case of families composed by the unions of c d-dimensional
doi:10.1016/s0195-6698(88)80035-0
fatcat:slc3u6lxk5hhliagsbbtsoskem