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The number of edges of many faces in a line segment arrangement

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf02122693openalex-snapshot
Entropy splitting for antiblocking corners and perfect graphs
inferredcites →https://doi.org/10.1007/bf02123007openalex-snapshot
Triangles in space or building (and analyzing) castles in the air
inferredcites →https://doi.org/10.1007/bf02187740openalex-snapshot
Applications of random sampling in computational geometry, II
inferredcites →https://doi.org/10.1007/bf02187744openalex-snapshot
On the general motion-planning problem with two degrees of freedom
inferredcites →https://doi.org/10.1007/bf02187783openalex-snapshot
Combinatorial complexity bounds for arrangements of curves and spheres
inferredcites →https://doi.org/10.1007/bf02187784openalex-snapshot
The complexity and construction of many faces in arrangements of lines and of segments
inferredcites →https://doi.org/10.1007/bf02187804openalex-snapshot
Construction of ɛ-nets
inferredcites →https://doi.org/10.1007/bf02187894openalex-snapshot
Planar realizations of nonlinear davenport-schinzel sequences by segments
inferredcites →https://doi.org/10.1007/bf02187902openalex-snapshot
Separating two simple polygons by a sequence of translations
inferredcites →https://doi.org/10.1007/bf02788872openalex-snapshot
A theorem on arrangements of lines in the plane
inferredcites →https://doi.org/10.1016/0097-3165(86)90078-6openalex-snapshot
On the maximal number of edges of many faces in an arrangement
inferredcites →https://doi.org/10.1137/0215024openalex-snapshot
Constructing Arrangements of Lines and Hyperplanes with Applications
inferredcites →https://doi.org/10.1137/0222031openalex-snapshot
On the Zone Theorem for Hyperplane Arrangements
inferredcites →https://doi.org/10.1145/73393.73394openalex-snapshot
Applications of random sampling in computational geometry, II

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/0-387-25036-0_11openalex-snapshot
Incidences
inferred← citeshttps://doi.org/10.1007/3-540-55719-9_94openalex-snapshot
A tail estimate for Mulmuley's segment intersection algorithm
inferred← citeshttps://doi.org/10.1007/3-540-57155-8_234openalex-snapshot
Connected component and simple polygon intersection searching
inferred← citeshttps://doi.org/10.1007/978-3-0348-8898-1_1openalex-snapshot
Geometric Set Systems
inferred← citeshttps://doi.org/10.1007/978-3-319-27261-0_30openalex-snapshot
Drawing Graphs Using a Small Number of Obstacles
inferred← citeshttps://doi.org/10.1007/978-3-642-55566-4_1openalex-snapshot
On the Complexity of Many Faces in Arrangements of Pseudo-Segments and Circles
inferred← citeshttps://doi.org/10.1007/978-3-642-83539-1_9openalex-snapshot
Davenport-Schinzel Sequences and their Geometric Applications
inferred← citeshttps://doi.org/10.1007/bf01940884openalex-snapshot
Connected component and simple polygon intersection searching
inferred← citeshttps://doi.org/10.1007/s00454-003-0854-zopenalex-snapshot
Cell Complexities in Hyperplane Arrangements
inferred← citeshttps://doi.org/10.1007/s00454-017-9919-2openalex-snapshot
Drawing Graphs Using a Small Number of Obstacles
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50002-4openalex-snapshot
Davenport–Schinzel Sequences and Their Geometric Applications**Both authors have been supported by a grant from the U.S.–Israeli Binational Science Foundation. Pankaj Agarwal has also been supported by a National Science Foundation Grant CCR-93–01259, by an Army Research Office MURI grant…
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50003-6openalex-snapshot
Arrangements and Their Applications**Work by PA. was supported by Army Research Office MURI grant DAAH04-96-1-0013, by a Sloan fellowship, by an NYI award, and by a grant from the U.S.–Israeli Binational Science Foundation. Work by M.S. was supported by NSF Grants CCR-91-22103 and CCR-93-11127, by…
inferred← citeshttps://doi.org/10.1016/j.comgeo.2021.101794openalex-snapshot
Solving the minimum convex partition of point sets with integer programming
inferred← citeshttps://doi.org/10.1016/j.dam.2008.06.019openalex-snapshot
Topological sweep of the complete graph
inferred← citeshttps://doi.org/10.1016/j.ejc.2025.104217openalex-snapshot
Faces in rectilinear drawings of complete graphs
inferred← citeshttps://doi.org/10.1016/s0925-7721(96)00004-1openalex-snapshot
The common exterior of convex polygons in the plane
inferred← citeshttps://doi.org/10.1016/s0927-0507(05)80124-0openalex-snapshot
Chapter 7 A survey of computational geometry
inferred← citeshttps://doi.org/10.1109/sfcs.2001.959882openalex-snapshot
On the complexity of many faces in arrangements of circles
inferred← citeshttps://doi.org/10.1137/1.9781611977073.123openalex-snapshot
Constructing Many Faces in Arrangements of Lines and Segments
inferred← citeshttps://doi.org/10.1137/s009753979426616xopenalex-snapshot
Computing Many Faces in Arrangements of Lines and Segments
inferred← citeshttps://doi.org/10.47749/t/unicamp.2022.1254700openalex-snapshot
Geometric decomposition problems
inferred← citeshttps://doi.org/10.5555/365411.365440openalex-snapshot
Simplified kinetic connectivity for rectangles and hypercubes
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