# An efficient Algorithm to partition a Sequence of Integers into Subsets   with equal Sums

**Authors:** Alexander B\"uchel, Ulrich Gille{\ss}en, Kurt-Ulrich Witt

arXiv: 1706.06425 · 2018-07-17

## TL;DR

This paper introduces an efficient algorithm for partitioning a sequence of integers into subsets with equal sums, addressing a specific NP-hard problem in a more practical context.

## Contribution

The paper presents a novel efficient algorithm for the homogeneous subset sum partition problem, improving upon existing methods for this NP-hard challenge.

## Key findings

- Algorithm efficiently partitions sequences into equal-sum subsets
- Significant reduction in computational complexity for the homogeneous case
- Potential applications in resource allocation and load balancing

## Abstract

To partition a sequence of n integers into subsets with prescribed sums is an NP-hard problem in general. In this paper we present an efficient solution for the homogeneous version of this problem; i.e. where the elements in each subset add up to the same sum.

## Full text

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## Figures

16 figures with captions in the complete paper: https://tomesphere.com/paper/1706.06425/full.md

## References

8 references — full list in the complete paper: https://tomesphere.com/paper/1706.06425/full.md

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Source: https://tomesphere.com/paper/1706.06425