A note on greedy algorithms for the maximum weighted independent set problem

نویسندگان

  • Shuichi Sakai
  • Mitsunori Togasaki
  • Koichi Yamazaki
چکیده

In this paper, we consider three simple and natural greedy algorithms for the Maximum Weighted Independent Set problem. We show that two of them output an independent set of weight P v2V (G) W (v) d(v)+1 and the other outputs an independent set of weight P v2V (G) W (v) 2 P u2N + G (v) W (u) . Those results are generalization of Tur an's theorem.

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 126  شماره 

صفحات  -

تاریخ انتشار 2003