FO Model Checking of Interval Graphs

FO Model Checking of Interval Graphs

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We study the computational complexity of the FO model checking problem on interval graphs, i.e., intersection graphs of intervals baby lock spirit embroidery machine price on the real line.The main positive result is that FO model checking and successor-invariant FO model checking can be solved in time O(n log n) for n-vertex interval graphs with representations containing only intervals with lengths from a prescribed finite set.We complement this result by showing that the same is not true if the lengths are restricted to any set that is dense in an open mz7lh3t8hmlt subset, e.

g., in the set $(1, 1 + arepsilon)$.