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T5 - r-element subsets of 1 2.n Vertices A and B are...

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Problem 1. Find c n explicitly, where c n is given by c n +2 - 2 c n +1 - 3 c n = 0 for n 2, and c 0 = 0 , c 1 = 4. Problem 2. Find c n explicitly, where c n is given by c n +2 - 2 c n +1 - 3 c n = 12 · 2 n for n 2, and c 0 = 0 , c 1 = 4. Problem 3. Find c n explicitly, where c n is given by c n - 2 c n - 1 - c n - 2 + 2 c n - 3 = 3 · 2 n for n 3, and c 0 = 5 , c 1 = 16 , c 2 = 46. Problem 4. Consider the graph G ( n, r ), whose vertex set is the set of
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Unformatted text preview: r-element subsets of { 1 , 2 ,...n } . Vertices A and B are adjacent if and only if | A ∩ B | = 1. a) Draw G (4 , 1) and G (4 , 2). b) How many vertices and edges does G ( n,r ) have? 1...
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