Counting independent sets in certain classes of (almost) regular graphs

Alexander Burstein, Sergey Kitaev, Toufik Mansour

Research output: Contribution to journalArticlepeer-review


We enumerate the independent sets of several classes of regular and almost regular graphs and compute the corresponding generating functions. We also note the relations between these graphs and other combinatorial objects and, in some cases, construct the corresponding bijections.
Original languageEnglish
Pages (from-to)17-26
Number of pages10
JournalPure Mathematics and Applications
Issue number2-3
Publication statusPublished - 2008


  • independent sets
  • regular graphs
  • transfer matrix method
  • bijection


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