Let G be a graph with 100 vertices. The vertex set of G can be partitioned into ten sets

Chapter 0, Problem 3

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Let G be a graph with 100 vertices. The vertex set of G can be partitioned into ten sets of ten vertices each; thus, V .G/ D W1 [ W2 [ [ W10: The Wis are pairwise disjoint and all have cardinality 10. In G there are no edges between vertices in the same Wi , but between Wi and Wj (with i 6D j ) all possible edges are present. How many edges does G have?

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