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1.2.17. (!) Let G,, be the graph whose vertices are the permutations of (1,..., n}, with two permutations a₁,..., a, and b₁,..., b, adjacent if they differ by interchanging a pair of adjacent entries (G3 shown below). Prove that G, is connected. 132 123 213 312 321 231

1.2.17. (!) Let G,, be the graph whose vertices are the permutations of (1,..., n}, with two permutations a₁,..., a, and b₁,..., b, adjacent if they differ by interchanging a pair of adjacent entries (G3 shown below). Prove that G, is connected. 132 123 213 312 321 231

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1.2.17. (!) Let G,, be the graph whose vertices are the permutations of (1,..., n}, with two permutations a₁,..., a, and b₁,..., b, adjacent if they differ by interchanging a pair of adjacent entries (G3 shown below). Prove that G, is connected. 132 123 213 312 321 231
Transcribed Image Text:1.2.17. (!) Let G,, be the graph whose vertices are the permutations of (1,..., n}, with two permutations a₁,..., a, and b₁,..., b, adjacent if they differ by interchanging a pair of adjacent entries (G3 shown below). Prove that G, is connected. 132 123 213 312 321 231
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