Web7 ©Department of Psychology, University of Melbourne Geodesics A geodesic from a to b is a path of minimum length The geodesic distance dab between a and b is the length of the geodesic If there is no path from a to b, the geodesic distance is infinite For the graph The geodesic distances are: dAB = 1, dAC = 1, dAD = 1, dBC = 1, dBD = 2, dCD = 2 … WebMay 5, 2015 · Theorem 1.1 (Strong perfect graph theorem) A graph is perfect if and only if it is Berge. One direction of the proof is easy: every perfect graph is Berge since, as we observed above, odd holes and antiholes satisfy χ = ω + 1. The proof of the converse statement is very long and relies on structural graph theory. Type.
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