Although this problem appears quite complex, it can be accurately solved with a branch and bound search tree algorithm or tightly upper bounded with a single multiplication of a matrix with a vector.
32.
There has also been extensive research on heuristic algorithms for solving maximum clique problems without worst-case runtime guarantees, based on methods including branch and bound, local search, greedy algorithms, and constraint programming.
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Branch and bound algorithms use this representation to efficiently explore the conformation tree : At each " branching ", branch and bound algorithms " bound " the conformation space and explore only the promising branches.
34.
Branch and bound algorithms use this representation to efficiently explore the conformation tree : At each " branching ", branch and bound algorithms " bound " the conformation space and explore only the promising branches.
35.
Another method involves the use of branch and bound techniques, where the program is divided into subclasses to be solved with convex ( minimization problem ) or linear approximations that form a lower bound on the overall cost within the subdivision.
36.
"' PM2 "'is an open-source distributed multithreaded programming environment designed to support efficiently distributed programs with a highly irregular behavior ( e . g . branch and bound search, computation on sparse matrices, etc . ) on distributed architectures.
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Further, when solving the LP relaxations, additional cutting planes may be generated, which may be either " global cuts ", i . e ., valid for all feasible integer solutions, or " local cuts ", meaning that they are satisfied by all solutions fulfilling the side constraints from the currently considered branch and bound subtree.
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