What does this research mean for the field?

Orthogonal strip partitioning of convex, simple, and self-overlapping polygons can be optimally solved using dynamic programming within the Clarke-Cormack-Burkowski lattice framework, yielding tight upper and lower bounds for both value and reporting versions. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

This work aims to develop efficient algorithms and lower bounds for partitioning polygons into connected pieces according to specified geometric constraints.

June 10, 2026Open Access

Orthogonal Strip Partitioning of Polygons: Lattice-Theoretic Algorithms and Lower Bounds

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Authors

JCJaehoon ChungKorea Institute for Advanced Study

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Implication

Randomized trial examines partitioning polygons into strips using new algorithms, suggesting efficient encodings for geometric problems.

Key Points

This work aims to develop efficient algorithms and lower bounds for partitioning polygons into connected pieces according to specified geometric constraints.
Develop efficient algorithms for partitioning both convex and simple polygons.
Use dynamic programming alongside lattice-theoretic concepts for both value and reporting versions of the problem.
Prove matching lower bounds in various computational models, including decision-tree and algebraic computation-tree.
For convex polygons, the value version is solved in O(log n) time with corresponding lower bounds established.
For simple polygons, O(n log n)-time algorithms are presented with a matching Ω(n) lower bound.
For self-overlapping polygons, algorithms achieve O(n log n) time and prove an Ω(n log n) lower bound for both versions.

Cite This Study

Jaehoon Chung (2026) studied this question.

synapsesocial.com/papers/6a2900d96f82f25be989d5f4 https://doi.org/10.4230/lipics.swat.2026.14

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Orthogonal Strip Partitioning of Polygons: Lattice-Theoretic Algorithms and Lower Bounds

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Key Points

Cite This Study

Orthogonal Strip Partitioning of Polygons: Lattice-Theoretic Algorithms and Lower Bounds

Discussion

Member takes

Implication

Key Points

Cite This Study

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