Afshani, P.; Hatami, H.; Mahmoodian, E. S. On the spectrum of the forced matching number of graphs. (English) Zbl 1056.05110 Australas. J. Comb. 30, 147-160 (2004). Let \(G\) be a graph that admits a perfect matching. A forcing set for a perfect matching \(M\) of \(G\) is a subset \(S\) of \(M\), such that \(S\) is contained in no other perfect matching of \(G\). The smallest cardinality of a forcing set of \(M\) is called the forced matching number. The authors study the spectrum of possible forced matching numbers for the grids \(P_m\times P_n\), and they investigate forcing sets for the product of a cycle and a path and the product of two cycles. Reviewer: Lutz Volkmann (Aachen) Cited in 4 ReviewsCited in 20 Documents MSC: 05C70 Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) Keywords:matching; forced matching number PDFBibTeX XMLCite \textit{P. Afshani} et al., Australas. J. Comb. 30, 147--160 (2004; Zbl 1056.05110) Full Text: arXiv