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algorithm answer assigned assume assumption binary Borda count calculate candidates choice colors column player complete graph connected construct decision decision problems denote determine difference equation digraph draw election entry equal equilibrium Euler circuit Euler path example Exercise expected payoff feasible region function genotypes give given graph G graph in Figure graph theory Hamilton circuit increase inequalities intersection isomorphic labeled linear linear programming machine language mailman mathematics matrix matrix game mean median minimum number mixed strategy multiple edges multistage experiment notation obtain occur ordered pairs outcomes population possible probability model problem produce profit radio real numbers relative frequency represent row player sample space scrap cloth scrap paper shown in Figure shows situation solution set solve species standard deviation Suppose Table theorem toss units valence vertex vertices voted for schedule voters winner zero