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1.1.8 The boolean lattice BLn (n 2 1) is the graph whose vertex set is the set of all subsets of {1,2,... ,nt, where two subsets X and Y are adjacent if their symmetric difference has preciselyone element. a) Draw BL, BL2, BL3, and BL b) Determine v(BLn) and e(BLn c) Show that BLn is bipartite for all n2 1 1.1.8 The boolean lattice BLn (n 2 1) is the graph whose vertex set is the set of all subsets of {1,2,... ,nt, where two subsets X and Y are adjacent if their symmetric difference has preciselyone element. a) Draw BL, BL2, BL3, and BL b) Determine v(BLn) and e(BLn c) Show that BLn is bipartite for all n2 1