Improving upon Maximum Independent Set by five orders of magnitude
نویسنده
چکیده
Several algorithms are presented. The standard algorithm generates all N anticliques of a graph with v vertices in time O(Nv). It can be adapted to e.g. generate all maximum cardinality anticliques, or just one maximum anticlique. The latter is our main achievement and was programmed using the Mathematica 6.0 code. For a random (45, 92)-graph G a maximum anticlique of size 21 was found in 1.344 sec, whereas the “hardwired” command MaximumIndependentSet[G] clocked in at 155838 sec, which is five orders of magnitude slower.
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ورودعنوان ژورنال:
- CoRR
دوره abs/0901.4417 شماره
صفحات -
تاریخ انتشار 2009