Prove that an acyclic digraph G of n vertices has a unique directed Hamiltonian path if and only if the number of nonzero elements in R(G) is n(n − l)/2.ĩ-26.There are 15 computer programs that must be processed according to the following set of orders : Show with this ordering of vertices in R(G) that digraph G is acyclic if and only if R(G) is an upper triangular matrix.ĩ-24.Prove that a digraph G is acyclic if and only if every element on the principal diagonal of its reachability (or accessibility) matrix R(G) is zero.
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