Trivial geometric heuristic for subset sum problem
Keyword(s):
All exact algorithms for solving subset sum problem (SUBSET\_SUM) are exponential (brute force, branch and bound search, dynamic programming which is pseudo-polynomial). To find the approximate solutions both a classical greedy algorithm and its improved variety, and different approximation schemes are used.This paper is an attempt to build another greedy algorithm by transferring representation of analytic geometry to such an object of discrete structure as a set. Set of size $n$ is identified with $n$-dimensional space with Euclidean metric, the subset-sum is identified with (hyper)plane.
1985 ◽
Vol 22
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pp. 56-69
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2014 ◽
Vol E97.A
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pp. 298-299
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1990 ◽
Vol 26
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pp. 61-77
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1986 ◽
Vol 23
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pp. 11-17
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2002 ◽
Vol 9
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pp. 437-459
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