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It seems to me most graph problems that people care about are monotonic under adding edges. Actually, I can't think of a single problem in graph theory I've don
by nawgz 5y ago
It seems to me most graph problems that people care about are monotonic under adding edges. Actually, I can't think of a single problem in graph theory I've done where that wouldn't hold.
- cevi 5y agoBeing a https://en.wikipedia.org/wiki/Perfect_graph https://en.wikipedia.org/wiki/Perfect_graph is not monotonic under adding edges, and it's certainly an interesting property for a graph to have! (But yes, most interesting properties are monotonic under adding edges)
- deleted 5y ago[deleted]
- thaumasiotes 5y ago> It seems to me most graph problems that people care about are monotonic under adding edges. Actually, I can't think of a single problem in graph theory I've done where that wouldn't hold. https://en.wikipedia.org/wiki/Braess%27s_paradox https://en.wikipedia.org/wiki/Braess%27s_paradox is very famous.