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On the Complexity of the Union of Fat Convex Objects in the Plane

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What this work says

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

inferredcites →https://doi.org/10.1006/jagm.1996.0063openalex-snapshot
Range Searching and Point Location among Fat Objects
inferredcites →https://doi.org/10.1007/3-540-57155-8_270openalex-snapshot
On fat partitioning, fat covering and the union size of polygons
inferredcites →https://doi.org/10.1007/3-540-60313-1_148openalex-snapshot
Linear size binary space partitions for fat objects
inferredcites →https://doi.org/10.1007/3-540-63307-3_69openalex-snapshot
Dynamic data structures for fat objects and their applications
inferredcites →https://doi.org/10.1007/978-3-642-83539-1_9openalex-snapshot
Davenport-Schinzel Sequences and their Geometric Applications
inferredcites →https://doi.org/10.1007/bf01182771openalex-snapshot
Algorithms for bichromatic line-segment problems and polyhedral terrains
inferredcites →https://doi.org/10.1007/bf01758853openalex-snapshot
Approximate motion planning and the complexity of the boundary of the union of simple geometric figures
inferredcites →https://doi.org/10.1007/bf02187683openalex-snapshot
On the union of Jordan regions and collision-free translational motion amidst polygonal obstacles
inferredcites →https://doi.org/10.1007/bf02187740openalex-snapshot
Applications of random sampling in computational geometry, II
inferredcites →https://doi.org/10.1007/pl00009424openalex-snapshot
On the Boundary of the Union of Planar Convex Sets
inferredcites →https://doi.org/10.1016/0020-0190(92)90211-dopenalex-snapshot
Point location in fat subdivisions
inferredcites →https://doi.org/10.1016/0925-7721(93)90007-sopenalex-snapshot
The complexity of the free space for a robot moving amidst fat obstacles
inferredcites →https://doi.org/10.1016/0925-7721(93)90018-2openalex-snapshot
On the union of fat wedges and separating a collection of segments by a line
inferredcites →https://doi.org/10.1016/0925-7721(94)90003-5openalex-snapshot
Computing the smallest k-enclosing circle and related problems
inferredcites →https://doi.org/10.1016/s0925-7721(96)00016-8openalex-snapshot
On fat partitioning, fat covering and the union size of polygons
inferredcites →https://doi.org/10.1016/s0925-7721(96)00027-2openalex-snapshot
3-D vertical ray shooting and 2-D point enclosure, range searching, and arc shooting amidst convex fat objects
inferredcites →https://doi.org/10.1109/sfcs.1996.548507openalex-snapshot
Binary space partitions for fat rectangles
inferredcites →https://doi.org/10.1137/s009753979018330xopenalex-snapshot
Fat Triangles Determine Linearly Many Holes
inferredcites →https://doi.org/10.1145/262839.262911openalex-snapshot
On the complexity of the union of fat objects in the plane
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/10.1007/3-540-47738-1_28openalex-snapshot
On the complexity of the union of geometric objects
inferred← citeshttps://doi.org/10.1007/978-3-540-30140-0_41openalex-snapshot
Approximate Unions of Lines and Minkowski Sums
inferred← citeshttps://doi.org/10.1007/978-3-540-78773-0_64openalex-snapshot
Domination in Geometric Intersection Graphs
inferred← citeshttps://doi.org/10.1007/978-3-642-00219-9_27openalex-snapshot
Placing Text Boxes on Graphs
inferred← citeshttps://doi.org/10.1007/978-3-642-13731-0_11openalex-snapshot
Conflict-Free Coloring Made Stronger
inferred← citeshttps://doi.org/10.1007/978-3-642-15369-3_13openalex-snapshot
PTAS for Weighted Set Cover on Unit Squares
inferred← citeshttps://doi.org/10.1007/978-3-642-41498-5_12openalex-snapshot
Conflict-Free Coloring and its Applications
inferred← citeshttps://doi.org/10.1007/s00453-005-1191-9openalex-snapshot
Approximate unions of lines and minkowski sums
inferred← citeshttps://doi.org/10.1007/s00454-001-0001-7openalex-snapshot
On the number of regular vertices of the union of jordan regions
inferred← citeshttps://doi.org/10.1007/s00454-005-1162-6openalex-snapshot
Conflict-Free Coloring of Points and Simple Regions in the Plane
inferred← citeshttps://doi.org/10.1007/s00454-005-1166-2openalex-snapshot
Lines Avoiding Unit Balls in Three Dimensions
inferred← citeshttps://doi.org/10.1007/s00454-006-1263-xopenalex-snapshot
On the Union of κ-Round Objects in Three and Four Dimensions
inferred← citeshttps://doi.org/10.1007/s00454-010-9312-xopenalex-snapshot
On the Union of Cylinders in Three Dimensions
inferred← citeshttps://doi.org/10.1007/s00454-016-9820-4openalex-snapshot
The Number of Holes in the Union of Translates of a Convex Set in Three Dimensions
inferred← citeshttps://doi.org/10.1007/s004540010064openalex-snapshot
Pipes, Cigars, and Kreplach: the Union of Minkowski Sums in Three Dimensions
inferred← citeshttps://doi.org/10.1017/9781009701259.030openalex-snapshot
Binary Space Partitions: Recent Developments
inferred← citeshttps://doi.org/10.1017/s0963548315000280openalex-snapshot
Decomposition of Multiple Packings with Subquadratic Union Complexity
inferred← citeshttps://doi.org/10.1090/conm/453/08794openalex-snapshot
State of the union (of geometric objects)
inferred← citeshttps://doi.org/10.1101/2021.02.24.21252390openalex-snapshot
Graphical Models of Pandemic
inferred← citeshttps://doi.org/10.1109/focs.2007.10openalex-snapshot
Almost Tight Bound for the Union of Fat Tetrahedra in Three Dimensions
inferred← citeshttps://doi.org/10.1109/focs.2007.9openalex-snapshot
Extractors and Rank Extractors for Polynomial Sources
inferred← citeshttps://doi.org/10.1109/focs.2008.25openalex-snapshot
On the Union of Cylinders in Three Dimensions
inferred← citeshttps://doi.org/10.1137/090762968openalex-snapshot
Small-Size $\eps$-Nets for Axis-Parallel Rectangles and Boxes
inferred← citeshttps://doi.org/10.1137/090765092openalex-snapshot
Semialgebraic Range Reporting and Emptiness Searching with Applications
inferred← citeshttps://doi.org/10.1137/120891241openalex-snapshot
Improved Bounds for the Union of Locally Fat Objects in the Plane
inferred← citeshttps://doi.org/10.1137/s0097539702407515openalex-snapshot
The Complexity of the Union of $(\alpha,\beta)$-Covered Objects
inferred← citeshttps://doi.org/10.1142/s0218195901000651openalex-snapshot
COMPUTATIONAL GEOMETRY COLUMN 42
inferred← citeshttps://doi.org/10.1145/1536414.1536501openalex-snapshot
Small-size ε-nets for axis-parallel rectangles and boxes
inferred← citeshttps://doi.org/10.1145/1613676.1613678openalex-snapshot
On the union of fat tetrahedra in three dimensions
inferred← citeshttps://doi.org/10.1145/304893.304960openalex-snapshot
Pipes, cigars, and kreplach
inferred← citeshttps://doi.org/10.1145/378583.378598openalex-snapshot
The union of congruent cubes in three dimensions
inferred← citeshttps://doi.org/10.1145/500559.500562openalex-snapshot
Computational geometry
inferred← citeshttps://doi.org/10.1145/777792.777810openalex-snapshot
On conflict-free coloring of points and simple regions in the plane
inferred← citeshttps://doi.org/10.1145/997817.997826openalex-snapshot
On lines avoiding unit balls in three dimensions
inferred← citeshttps://doi.org/10.1145/997817.997875openalex-snapshot
On the union of κ-round objects
inferred← citeshttps://doi.org/10.3929/ethz-a-007143531openalex-snapshot
Depth, crossings and conflicts in discrete geometry
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