Title of article :
Voting Fairly: Transitive Maximal Intersecting Families of Sets
Author/Authors :
Loeb، نويسنده , , Daniel E. and Conway، نويسنده , , Andrew R.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2000
Abstract :
There are several applications of maximal intersecting families (MIFs) and different notions of fairness. We survey known results regarding the enumeration of MIFs, and we conclude the enumeration of the 207,650,662,008 maximal families of intersecting subsets of X whose group of symmetries is transitive for |X|<13.
Keywords :
strong simple game , Regular , coterie , ipsodual element of free distributive lattice , transitive , homogeneous games , maximal intersecting family , critical tripartite hypergraph , voting scheme , self-dual monotone Boolean function , self-dual anti-chain , fair
Journal title :
Journal of Combinatorial Theory Series A
Journal title :
Journal of Combinatorial Theory Series A
