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Graph TheoryMediumWalks, Paths and Connectivity

Walks, Paths and Connectivity · Medium problem

A wheel graph has a hub vertex 00 joined to every vertex of a 44-cycle 1-2-3-4-11\text{-}2\text{-}3\text{-}4\text{-}1 (edges 12,23,34,41,01,02,03,0412,23,34,41,01,02,03,04). How many triangles does this graph contain?