3-Coloring in Time O(1.3446n): A No-MIS Algorithm

نویسندگان

  • Richard Beigel
  • David Eppstein
چکیده

We consider worst case time bounds for NP-complete problems including 3-SAT, 3-coloring, 3-edge-coloring, and 3-list-coloring. Our algorithms are based on a common generalization of these problems, called symbol-system satissability or, brieey, SSS 1]. 3-SAT is equivalent to (2,3)-SSS while the other problems above are special cases of (3,2)-SSS; there is also a natural duality transformation from (a; b)-SSS to (b; a)-SSS. We give a fast algorithm for (3,2)-SSS and use it to improve the time bounds for solving the other problems listed above.

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عنوان ژورنال:
  • Electronic Colloquium on Computational Complexity (ECCC)

دوره 2  شماره 

صفحات  -

تاریخ انتشار 1995