id: 06108427 dt: j an: 06108427 au: Keller, Chaya; Perles, Micha A. ti: On the smallest sets blocking simple perfect matchings in a convex geometric graph. so: Isr. J. Math. 187, 465-484 (2012). py: 2012 pu: The Hebrew University Magnes Press, Jerusalem; Springer, Heidelberg la: EN cc: ut: ci: li: doi:10.1007/s11856-011-0090-9 ab: Summary: We present a complete characterization of the smallest sets which block all the simple perfect matchings in a complete convex geometric graph on $2m$ vertices. In particular, we show that all these sets are caterpillar graphs with a special structure, and that their total number is $m \cdot 2^{m-1}$. rv: