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When joined to a stipulated neighborhood digraph, an objective function deÞned on the solution space of a real combinatorial optimization problem forms a landscape. Grover shows that landscapes satisfying a certain difference equation have properties favorable to local search. Studying only symmetric and regular neighborhood digraphs, Stadler deÞnes… (More)

Neighborhood specification is a dominant consideration in assuring the success of a direct search approach to a difficult combinatorial optimization problem. Previous research has shown the efficacy of imposing an elementary landscape upon the search topology. A theory of elementary landscapes, Applied Mathematics Letters 16 (2003)] generalize the notion of… (More)