Maximal independent sets in graphs with at most r cycles

نویسندگان

  • Goh Chee Ying
  • Khee Meng Koh
  • Bruce E. Sagan
  • Vincent Vatter
چکیده

We find the maximum number of maximal independent sets in two families of graphs. The first family consists of all graphs with n vertices Contract grant sponsor: Award from DIMACS (partially; to V.R.V.); Contract grant sponsor: NSF VIGRE grant to the Rutgers University Department of Mathematics (partially; to V.R.V.). Journal of Graph Theory © 2006 Wiley Periodicals, Inc. 270 MAXIMAL INDEPENDENT SETS 271 and at most r cycles. The second family is all graphs of the first family which are connected and satisfy n ≥ 3r. © 2006 Wiley Periodicals, Inc. J Graph Theory 53: 270–282, 2006

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عنوان ژورنال:
  • Journal of Graph Theory

دوره 53  شماره 

صفحات  -

تاریخ انتشار 2006