This work charts a nuanced complexity landscape for diameter computation on 2D intersection graphs, delivering new subquadratic algorithms for some object types and diameter values while proving hardness for others under fine-grained assumptions.
Computing Diameter+2 in Truly-Subquadratic Time for Unit-Disk Graphs , booktitle =
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First O(n^{2-1/(2h-2)} polylog n) algorithm for diameter and eccentricity in real-weighted K_h-minor-free digraphs via randomized search-to-decision reduction on VC-dimension.
citing papers explorer
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Charting the Diameter Computation Landscape on Intersection Graphs in the Plane
This work charts a nuanced complexity landscape for diameter computation on 2D intersection graphs, delivering new subquadratic algorithms for some object types and diameter values while proving hardness for others under fine-grained assumptions.
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Real-weighted Diameter and Eccentricity of Minor-free and Bounded VC-dimension Graphs in Truly Subquadratic Time
First O(n^{2-1/(2h-2)} polylog n) algorithm for diameter and eccentricity in real-weighted K_h-minor-free digraphs via randomized search-to-decision reduction on VC-dimension.