Sufficient conditions for log-concave conjecture on all-terminal reliability polynomial of a network
Consider a graph G that is simple, undirected, and connected, and has n vertices and m edges, and let Ni(G) denote the number of connected spanning i-edge-subgraphs in a graph G for an integer i(n-1■i■m). For a graph G and all integers i ’s (n■i■m-1), it is wellknown that the problem of computing all Ni(G) ’s is #P-complete (see e.g., [3, 7, 14, 31 ...
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