Croatica Chemica Acta, Vol. 86 No. 4, 2013.
Original scientific paper
https://doi.org/10.5562/cca2295
Forcing Independence
Craig Larson
; Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, 1015 Floyd Avenue, Richmond, VA 23284, USA
Nico Van Cleemput
; Department of Applied Mathematics, Computer Science & Statistics, Ghent University, Krijgslaan 281, S9, 9000 Ghent, Belgium
Abstract
An independent set in a graph is a set of vertices which are pairwise non-adjacent. An independ-ent set of vertices F is a forcing independent set if there is a unique maximum independent set I such that F ⊆ I. The forcing independence number or forcing number of a maximum independent set I is the cardi-nality of a minimum forcing set for I. The forcing number f of a graph is the minimum cardinality of the forcing numbers for the maximum independent sets of the graph. The possible values of f are determined and characterized. We investigate connections between these concepts, other structural concepts, and chemical applications. (doi: 10.5562/cca2295)
Keywords
forcing; independent set; independence number; benzenoids
Hrčak ID:
112780
URI
Publication date:
16.12.2013.
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