Zero forcing number of graphs
نویسندگان
چکیده
A subset S of initially infected vertices of a graph G is called forcing if we can infect the entire graph by iteratively applying the following process. At each step, any infected vertex which has a unique uninfected neighbour, infects this neighbour. The forcing number of G is the minimum cardinality of a forcing set in G. In the present paper, we study the forcing number of various classes of graphs, including graphs of large girth, H-free graphs for a fixed bipartite graph H, random and pseudorandom graphs.
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