ROMAN DOMINATION: A Parameterized Perspective

نویسنده

  • Henning Fernau
چکیده

We analyze the graph-theoretic formalization of Roman domination, dating back to the military strategy of Emperor Constantine, from a parameterized perspective. More specifically, we prove that this problem is W[2]-complete for general graphs. However, parameterized algorithms are presented for graphs of bounded treewidth and for planar graphs. Moreover, it is shown that a parametric dual of Roman domination is in FPT .

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عنوان ژورنال:
  • Int. J. Comput. Math.

دوره 85  شماره 

صفحات  -

تاریخ انتشار 2006