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Maximum diameter of abstract polytopes

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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/bf02395040openalex-snapshot
The d-step conjecture for polyhedra of dimension d<6
inferredcites →https://doi.org/10.1007/bfb0121239openalex-snapshot
Existence of A-avoiding paths in abstract polytopes
inferredcites →https://doi.org/10.1515/9781400884179openalex-snapshot
Linear Programming and Extensions
inferredcites →https://doi.org/10.7249/r366openalex-snapshot
Linear Programming and Extensions

What points at this work

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

inferred← citeshttps://doi.org/10.1007/11496915_17openalex-snapshot
Jumping Doesn’t Help in Abstract Cubes
inferred← citeshttps://doi.org/10.1007/bf00939135openalex-snapshot
On the structure of the set bases of a degenerate point
inferred← citeshttps://doi.org/10.1007/bf01580244openalex-snapshot
A generalized complementary pivoting algorithm
inferred← citeshttps://doi.org/10.1007/bf01609004openalex-snapshot
Abstract polytopes and the hirsch conjecture
inferred← citeshttps://doi.org/10.1007/bfb0121237openalex-snapshot
Lower bounds for maximum diameters of polytopes
inferred← citeshttps://doi.org/10.1007/bfb0121239openalex-snapshot
Existence of A-avoiding paths in abstract polytopes
inferred← citeshttps://doi.org/10.1007/s00454-017-9888-5openalex-snapshot
The Maximum Diameter of Pure Simplicial Complexes and Pseudo-manifolds
inferred← citeshttps://doi.org/10.1007/s10107-012-0611-2openalex-snapshot
Polyhedral graph abstractions and an approach to the Linear Hirsch Conjecture
inferred← citeshttps://doi.org/10.1007/s10107-016-1099-yopenalex-snapshot
Hirsch polytopes with exponentially long combinatorial segments
inferred← citeshttps://doi.org/10.1007/s11750-013-0295-7openalex-snapshot
Recent progress on the combinatorial diameter of polytopes and simplicial complexes
inferred← citeshttps://doi.org/10.1016/0024-3795(81)90098-7openalex-snapshot
Unions of oriented matroids
inferred← citeshttps://doi.org/10.1016/j.aim.2005.05.021openalex-snapshot
RANDOM EDGE can be exponential on abstract cubes
inferred← citeshttps://doi.org/10.1016/j.disopt.2006.12.004openalex-snapshot
George Dantzig’s impact on the theory of computation
inferred← citeshttps://doi.org/10.1016/j.endm.2016.09.038openalex-snapshot
The maximum diameter of pure simplicial complexes and pseudo-manifolds
inferred← citeshttps://doi.org/10.1016/j.jcta.2004.09.009openalex-snapshot
One-point suspensions and wreath products of polytopes and spheres
inferred← citeshttps://doi.org/10.1016/j.jda.2017.04.004openalex-snapshot
A complexity analysis of Policy Iteration through combinatorial matrices arising from Unique Sink Orientations
inferred← citeshttps://doi.org/10.1109/focs.2004.56openalex-snapshot
Random Edge Can Be Exponential on Abstract Cubes
inferred← citeshttps://doi.org/10.1137/140962310openalex-snapshot
An Improved Kalai--Kleitman Bound for the Diameter of a Polyhedron
inferred← citeshttps://doi.org/10.1145/1542362.1542428openalex-snapshot
Diameter of polyhedra
inferred← citeshttps://doi.org/10.1145/2462356.2462408openalex-snapshot
Recent progress on the combinatorial diameter of polyhedra and simplicial complexes
inferred← citeshttps://doi.org/10.1287/moor.1.1.89openalex-snapshot
Long Monotone Paths in Abstract Polytopes
inferred← citeshttps://doi.org/10.1287/moor.1100.0470openalex-snapshot
Diameter of Polyhedra: Limits of Abstraction
inferred← citeshttps://doi.org/10.1287/moor.12.4.718openalex-snapshot
The d-Step Conjecture and Its Relatives
inferred← citeshttps://doi.org/10.1287/moor.3.3.224openalex-snapshot
The Hirsch Conjecture Fails for Triangulated 27-Spheres
inferred← citeshttps://doi.org/10.1287/moor.5.4.576openalex-snapshot
Decompositions of Simplicial Complexes Related to Diameters of Convex Polyhedra
inferred← citeshttps://doi.org/10.1365/s13291-012-0055-xopenalex-snapshot
Foundations of Discrete Optimization: In Transition from Linear to Non-linear Models and Methods
inferred← citeshttps://doi.org/10.37236/9653openalex-snapshot
Diameters of Cocircuit Graphs of Oriented Matroids: An Update
inferred← citeshttps://doi.org/10.48550/arxiv.1006.2416openalex-snapshot
Geometric Combinatorics of Transportation Polytopes and the Behavior of the Simplex Method
inferred← citeshttps://doi.org/10.48550/arxiv.1203.1525openalex-snapshot
Constructing subset partition graphs with strong adjacency and end-point count properties
inferred← citeshttps://doi.org/10.48550/arxiv.1402.3579openalex-snapshot
An improved Kalai-Kleitman bound for the diameter of a polyhedron
inferred← citeshttps://doi.org/10.48550/arxiv.1611.07354openalex-snapshot
On the diameter of dual graphs of Stanley-Reisner rings with Serre $(S_2)$ property and Hirsch type bounds on abstractions of polytopes
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