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On independent sets. (English) Zbl 1112.05014
Summary: In a general set-theoretic context, an independent set is defined as a set which avoids certain specified structures called blocks. A formula is given for the number of independent sets of cardinality $$k$$ in terms of the numbers of configurations (i.e., non-empty collections) of blocks.
##### MSC:
 05B05 Combinatorial aspects of block designs 05A15 Exact enumeration problems, generating functions
##### Keywords:
independent sets; blocks; configurations
Full Text:
##### References:
 [1] FORBES A. D.-GRANNELL M. J.-GRIGGS T. S.: Independent sets in Steiner triple systems. Ars Combin. 72 (2004), 161-169. · Zbl 1069.05009
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