On linear and circular structure of (claw, net)-free graphs

نویسندگان

  • Andreas Brandstädt
  • Feodor F. Dragan
چکیده

We prove that every (claw, net)-free graph contains an induced doubly dominating cycle or a dominating pair. Moreover, using LexBFS we present a linear time algorithm which, for a given (claw, net)-free graph, 3nds either a dominating pair or an induced doubly dominating cycle. We show also how one can use structural properties of (claw, net)-free graphs to solve e4ciently the domination, independent domination, and independent set problems on these graphs. ? 2003 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 129  شماره 

صفحات  -

تاریخ انتشار 2003