Maximum Independent Set in Graphs of Average Degree at Most Three in O(1.08537n){\mathcal O}(1.08537^n)

نویسندگان

  • Nicolas Bourgeois
  • Bruno Escoffier
  • Vangelis Th. Paschos
  • Johan M. M. van Rooij
چکیده

We show that Maximum Independent Set on connected graphs of average degree at most three can be solved in O(1.08537) time and linear space. This improves previous results on graphs of maximum degree three, as our connectivity requirement only functions to ensure that each connected component has average degree at most three. We link this result to exact algorithms of Maximum Independent Set on general graphs. Also, we obtain a faster parametrised algorithm for Vertex Cover restricted to graphs of maximum degree three running in time O(1.1781).

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تاریخ انتشار 2010