Unformatted text preview: n 1’s and n 0’s, where 2 vertices (strings) are adjacent if and only if they diﬀer in exactly two positions. (a) Draw graphs A 2 and A 4 . (b) Determine the number of vertices and edges in A 2 n . (c) Is A 2 n connected? Justify your claim. 5. (a) Let G be a graph with p vertices. Show that if every vertex has degree at least b p 2 c , then G is connected. (b) Can this result be strengthened; that is, does it still hold if every vertex has degree at least b p 2 c -1? 1...
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This note was uploaded on 01/17/2011 for the course MATH 239 taught by Professor M.pei during the Spring '09 term at Waterloo.
- Spring '09