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On the number of upward planar orientations of maximal planar graphs
2014
Theoretical Computer Science
We consider the problem of determining the maximum and the minimum number of upward planar orientations a maximal planar graph can have. We show that n-vertex maximal planar graphs have at least Ω(n · 1.189 n ) and at most O(n · 4 n ) upward planar orientations. Moreover, there exist n-vertex maximal planar graphs having as few as O(n · 2 n ) upward planar orientations and n-vertex maximal planar graphs having Ω(2.599 n ) upward planar orientations. Support from EuroCores/EuroGiga/ComPoSe SNF 20GG21 134318/1 is acknowledged.
doi:10.1016/j.tcs.2014.04.024
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