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C++ Reference: christofides
Note: This documentation is automatically generated.
ChristofidesPathSolver computes an approximate solution to the Traveling Salesman Problen using the Christofides algorithm (c.f. https://en.wikipedia.org/wiki/Christofides_algorithm). Note that the algorithm guarantees finding a solution within 3/2 of the optimum when using minimum weight perfect matching in the matching phase. The complexity of the algorithm is dominated by the complexity of the matching algorithm: O(n^2 * log(n)) if minimal matching is used, or at least O(n^3) or O(nmlog(n)) otherwise, depending on the implementation of the perfect matching algorithm used, where n is the number of nodes and m is the number of edges of the subgraph induced by odd-degree nodes of the minimum spanning tree.
[[["Easy to understand","easyToUnderstand","thumb-up"],["Solved my problem","solvedMyProblem","thumb-up"],["Other","otherUp","thumb-up"]],[["Missing the information I need","missingTheInformationINeed","thumb-down"],["Too complicated / too many steps","tooComplicatedTooManySteps","thumb-down"],["Out of date","outOfDate","thumb-down"],["Samples / code issue","samplesCodeIssue","thumb-down"],["Other","otherDown","thumb-down"]],["Last updated 2024-08-06 UTC."],[[["The Christofides algorithm provides an approximate solution to the Traveling Salesman Problem, guaranteeing a solution within 3/2 of the optimum."],["The algorithm's complexity depends heavily on the matching algorithm used, ranging from O(n² log(n)) with minimal matching to at least O(n³) or O(nm log(n)) with other perfect matching algorithms."],["ChristofidesPathSolver is the class used to implement the Christofides algorithm for finding approximate solutions."]]],["ChristofidesPathSolver utilizes the Christofides algorithm to approximate solutions for the Traveling Salesman Problem, ensuring results within 3/2 of the optimum when using minimum weight perfect matching. The algorithm's complexity is dictated by the matching phase, which is O(n^2 * log(n)) with minimal matching or at least O(n^3) or O(nmlog(n)) otherwise, with n representing nodes and m edges. The Christofides algorithm can be found at the provided wikipedia link.\n"]]
