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.
Quasi-optimal range searching in spaces of finite VC- dimension.Discrete Comput
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
cs.CG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Semialgebraic graphs admit O(n^{1-2/(d+1)+ε})-bit adjacency labels via polynomial partitioning; semilinear graphs need only O(log n) bits.
citing papers explorer
-
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.
-
Implicit representations via the polynomial method
Semialgebraic graphs admit O(n^{1-2/(d+1)+ε})-bit adjacency labels via polynomial partitioning; semilinear graphs need only O(log n) bits.