GRAPH IS EQUAL TO ITS ZERO FORCING NUMBER, M( G) = Z( G)
Wayne W. Barrett, Steve Butler, Minerva Catral, Shaun Fallat, H. Tracy, Leslie Hogben, Michael YOUNGyy · 2013
Barrett et al. asked in \Minimum rank of edge subdivisions of graphs, Electronic 6 Journal of Linear Algebra (2009) 18: 530{563, whether the maximum nullity is equal to the zero 7 forcing number for all complete subdivision graphs. We prove that this equality holds and determine 8 this common value. 9 10 matrix, graph 11