Christofides algorithm (Approximate TSP The Traveling-Salesman Problem)

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Revision as of 11:15, 15 February 2023 by Admin (talk | contribs) (Created page with "== Time Complexity == $O(V^{3})$ == Space Complexity == $O(V^{2})$??? words (Depends on best space complexity for O(V^3) min-weight matching (the rest of the algorithm requires O(V) auxiliary space)) == Description == == Approximate? == Approximate Approximation Factor: 1.5 == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1976 == Reference == https://apps.dtic.mil/dtic/tr/fulltext/u2/a025602.pdf")
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Time Complexity

$O(V^{3})$

Space Complexity

$O(V^{2})$??? words

(Depends on best space complexity for O(V^3) min-weight matching (the rest of the algorithm requires O(V) auxiliary space))

Description

Approximate?

Approximate

Approximation Factor: 1.5

Randomized?

No, deterministic

Model of Computation

Word RAM

Year

1976

Reference

https://apps.dtic.mil/dtic/tr/fulltext/u2/a025602.pdf