Fractional cascading: I. A data structuring technique

@article{Chazelle2005FractionalCI,
  title={Fractional cascading: I. A data structuring technique},
  author={B. Chazelle and L. Guibas},
  journal={Algorithmica},
  year={2005},
  volume={1},
  pages={133-162}
}
In computational geometry many search problems and range queries can be solved by performing an iterative search for the same key in separate ordered lists. In this paper we show that, if these ordered lists can be put in a one-to-one correspondence with the nodes of a graph of degreed so that the iterative search always proceeds along edges of that graph, then we can do much better than the obvious sequence of binary searches. Without expanding the storage by more than a constant factor, we… Expand
270 Citations
Optimal cooperative search in fractional cascaded data structures
  • 9
  • PDF
Dynamic fractional cascading
  • 115
  • PDF
Orthogonal Range Searching
  • 5
  • PDF
Chapter 4 Fractional Cascading
    • PDF
    A Lower Bound for Dynamic Fractional Cascading
    • PDF
    Novel Transformation Techniques Using Q-Heaps with Applications to Computational Geometry
    • 5
    • PDF
    2D Generalization of Fractional Cascading on Axis-aligned Planar Subdivisions
    • P. Afshani, Pingan Cheng
    • Computer Science
    • 2020 IEEE 61st Annual Symposium on Foundations of Computer Science (FOCS)
    • 2020
    Untangled Monotonic Chains and Adaptive Range Search
    • 9
    • Highly Influenced
    • PDF
    Untangled monotonic chains and adaptive range search
    • 6
    • PDF
    ...
    1
    2
    3
    4
    5
    ...

    References

    SHOWING 1-10 OF 13 REFERENCES
    Dynamic Segment Intersection Search with Applications
    • 31
    • PDF
    Dynamization of geometric data structures
    • 38
    • PDF
    Rectilinear Line Segment Intersection, Layered Segment Trees, and Dynamization
    • 76
    Fractional cascading: II. Applications
    • 76
    Optimal Point Location in a Monotone Subdivision
    • 517
    • PDF
    Filtering search: A new approach to query-answering
    • B. Chazelle
    • Computer Science, Mathematics
    • 24th Annual Symposium on Foundations of Computer Science (sfcs 1983)
    • 1983
    • 224
    • PDF
    Decomposable Searching Problems I: Static-to-Dynamic Transformation
    • 382
    • PDF
    Searching and Storing Similar Lists
    • R. Cole
    • Mathematics, Computer Science
    • J. Algorithms
    • 1986
    • 113
    The Design of Dynamic Data Structures
    • M. Overmars
    • Computer Science
    • Lecture Notes in Computer Science
    • 1983
    • 428
    Amortized Computational Complexity
    • 498
    ...
    1
    2
    ...