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Tournament vertices

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Show that if two vertices u and v have the same score in a tournament T, then u and v belong to the same strong component of T.

Can you explain what does score mean?

Hint : Try to prove it on two lines. Definitely your proof shouldn't be longer than 4 lines! If it is longer, you are doing something wrong.

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Solution Summary

This is a proof regarding vertices in a tournament.

Solution Preview

1. Oriented graph: An oriented graph is a directed graph that at most
a single edge exists between two vertices. For example, if u->v is
an edge from u and v, then the edge v->u does not exist in this
graph.
2. Complete graph: any two vertices in the graph must have an edge.
3. Tournament: Tournament is a complete ...

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