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Intersection properties of boxes. Part I: An upper-bound theorem

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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/bf00181472openalex-snapshot
An Upper-Bound theorem for families of convex sets
inferredcites →https://doi.org/10.1007/bf02579232openalex-snapshot
Intersection properties of boxes in R d
inferredcites →https://doi.org/10.1007/bf02761162openalex-snapshot
Intersection patterns of convex sets
inferredcites →https://doi.org/10.1007/bf03008396openalex-snapshot
Über eine kombinatorisch-geometrische Frage von Hadwiger und Debrunner
inferredcites →https://doi.org/10.1016/0012-365x(76)90069-8openalex-snapshot
The maximum number of q-cliques in a graph with no p-clique
inferredcites →https://doi.org/10.1016/0012-365x(79)90155-9openalex-snapshot
A Turán type problem for interval graphs
inferredcites →https://doi.org/10.1016/0012-365x(84)90080-3openalex-snapshot
The structure of rectangle families dividing the plane into maximum number of atoms
inferredcites →https://doi.org/10.1016/s0195-6698(85)80029-9openalex-snapshot
A Simple Proof of the Upper Bound Theorem
inferredcites →https://doi.org/10.1090/s0002-9939-1979-0532152-6openalex-snapshot
A problem of geometry in ${\bf R}\sp{n}$
inferredcites →https://doi.org/10.1112/s0025579300002850openalex-snapshot
The maximum numbers of faces of a convex polytope
inferredcites →https://doi.org/10.1201/b16132-57openalex-snapshot
Extremal Graph Theory
inferredcites →https://doi.org/10.2307/2042758openalex-snapshot
A Problem of Geometry in R n
inferredcites →https://doi.org/10.2307/2315998openalex-snapshot
Combinatorial Geometry in the Plane.
inferredcites →https://doi.org/10.4064/cm-2-2-130-135openalex-snapshot
Sur l'indépendance de domaines simples dans l'espace euclidien à n dimensions
inferredcites →https://doi.org/10.4064/cm-3-1-19-30openalex-snapshot
On the theory of graphs
inferredcites →https://doi.org/10.4153/cjm-1980-063-4openalex-snapshot
Boxes in Rn —A ‘Fractional’ Theorem
inferredcites →https://doi.org/10.7146/math.scand.a-10607openalex-snapshot
On a Coloring Problem.

What points at this work

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

inferred← citeshttps://doi.org/10.1007/bf02772945openalex-snapshot
Intersection properties of boxes part II: Extremal families
inferred← citeshttps://doi.org/10.1007/s00454-022-00468-8openalex-snapshot
Fractional Helly Theorem for Cartesian Products of Convex Sets
inferred← citeshttps://doi.org/10.1007/s11856-008-0024-3openalex-snapshot
Face vectors of flag complexes
inferred← citeshttps://doi.org/10.1007/s11856-014-1115-yopenalex-snapshot
On a conjecture by Kalai
inferred← citeshttps://doi.org/10.1016/b978-0-444-89596-7.50017-1openalex-snapshot
Helly, Radon, and Carathéodory Type Theorems
inferred← citeshttps://doi.org/10.1016/j.aam.2021.102217openalex-snapshot
Discrete quantitative Helly-type theorems with boxes
inferred← citeshttps://doi.org/10.1016/j.comgeo.2016.09.001openalex-snapshot
Acknowledgement of priority — A fractional Helly theorem for boxes
inferred← citeshttps://doi.org/10.1016/j.jcta.2009.04.003openalex-snapshot
A Kruskal–Katona type theorem for graphs
inferred← citeshttps://doi.org/10.1016/j.jcta.2021.105465openalex-snapshot
Quantitative combinatorial geometry for concave functions
inferred← citeshttps://doi.org/10.1017/s0963548312000429openalex-snapshot
Turán and Ramsey Properties of Subcube Intersection Graphs
inferred← citeshttps://doi.org/10.1090/bull/1753openalex-snapshot
Helly-type problems
inferred← citeshttps://doi.org/10.1112/s0025579300000176openalex-snapshot
The Upper‐Bound Theorem for Families of Boxes in ℝ d
inferred← citeshttps://doi.org/10.1137/100818170openalex-snapshot
Cohen–Macaulay Graphs and Face Vectors of Flag Complexes
inferred← citeshttps://doi.org/10.1137/120894324openalex-snapshot
From Flag Complexes to Banner Complexes
inferred← citeshttps://doi.org/10.1137/24m1658358openalex-snapshot
Extensions of Discrete Helly Theorems for Boxes
inferred← citeshttps://doi.org/10.1177/29498732261469486openalex-snapshot
Trustworthy Knowledge Base Embeddings: A Foundational Study of Box Semantics
inferred← citeshttps://doi.org/10.2140/involve.2010.3.93openalex-snapshot
On (2,3)-agreeable box societies
inferred← citeshttps://doi.org/10.5802/igt.17openalex-snapshot
Polynomial Gyárfás–Sumner conjecture for graphs of bounded boxicity
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