WebNov 1, 2024 · Exercise 5.E. 1.1. The complement ¯ G of the simple graph G is a simple graph with the same vertices as G, and {v, w} is an edge of ¯ G if and only if it is not an edge of G. A graph G is self-complementary if G ≅ ¯ G. Show that if G is self-complementary then it has 4k or 4k + 1 vertices for some k. Find self-complementary … WebFind an Eulerian tour for this graph; Convert to TSP: if a city is visited twice, create a shortcut from the city before this in the tour to the one after this. To improve the lower bound, a better way of creating an Eulerian graph is needed. By triangular inequality, the best Eulerian graph must have the same cost as the best travelling ...
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