McMorris, F.R.

function lemma graph axiom vertex vertice proof location location function consensus profile property element result split − ss π semilattice characterization consensus function t-condorcet mcmorri condition theorem claim number satis fies axioms vertex x theory respect satis fies subgraph join-irreducible fi nite location functions square status neighbor tree t x ∈ c mathematics graph g mulder bc ∈ e 2 r π · · · t-distinguishing length choice split g 1 quadrangle property edge uv consistency l satis fies t-median function consensus function c notice status fi nite trees networks —2012—doi 10.1002/ subset consensus theory vertex z p p −i x ∈ x corollary function m center function |π ab | geodesic fi rst m ean file π ab ∈ e finition order t-median space network square consensus functions gated