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graphs that can be embedded into the plane, i.e. that can be drawn without crossings between the lines representing edges.
1
vote
Cholesky factorization of planar graphs
Yes. As this book chapter (by S. Toledo) shows, the number of arithmetic operations is bounded by the sum over the non-zero columns of the squares of the numbers of nonzero elements therein. The sum o …
8
votes
Accepted
In how many ways can a given planar graph be mapped into the plane?
It is a theorem of Whitney, that a $3$-connected planar graph has two planar embeddings (one being the other flipped over). If a graph is two-connected, then you can flip over some, but not all of the …