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The equipartition polytope. I: Formulations, dimension and basic facets

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What this work says

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

inferredcites →https://doi.org/10.1002/j.1538-7305.1970.tb01770.xopenalex-snapshot
An Efficient Heuristic Procedure for Partitioning Graphs
inferredcites →https://doi.org/10.1007/3-540-36478-1_3openalex-snapshot
Matching: A Well-Solved Class of Integer Linear Programs
inferredcites →https://doi.org/10.1007/bf02592023openalex-snapshot
On the cut polytope
inferredcites →https://doi.org/10.1016/0010-4655(88)90002-1openalex-snapshot
On the magnetisation of the ground states in two dimensional Ising spin glasses
inferredcites →https://doi.org/10.1016/0020-0190(88)90144-5openalex-snapshot
A polynomial characterization of some graph partitioning problems
inferredcites →https://doi.org/10.1016/0166-218x(86)90065-xopenalex-snapshot
A solvable case of quadratic 0–1 programming
inferredcites →https://doi.org/10.1016/s0021-9800(70)80083-7openalex-snapshot
Bottleneck extrema
inferredcites →https://doi.org/10.1057/jors.1983.14openalex-snapshot
Modern Applied Mathematics: Optimization and Operations Research
inferredcites →https://doi.org/10.1287/moor.10.2.340openalex-snapshot
Facets of the Bipartite Subgraph Polytope
inferredcites →https://doi.org/10.1287/moor.12.2.193openalex-snapshot
Some New Matroids on Graphs: Cut Sets and the Max Cut Problem
inferredcites →https://doi.org/10.1287/opre.36.3.493openalex-snapshot
An Application of Combinatorial Optimization to Statistical Physics and Circuit Layout Design

What points at this work

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

inferred← citeshttps://doi.org/10.1002/9781118600207.ch6openalex-snapshot
The Maximum Cut Problem
inferred← citeshttps://doi.org/10.1002/9781119005353.biblioopenalex-snapshot
General Bibliography
inferred← citeshttps://doi.org/10.1002/nav.10084openalex-snapshot
Realignment in the National Football League: Did they do it right?
inferred← citeshttps://doi.org/10.1002/net.22257openalex-snapshot
Optimizing Connected Components Graph Partitioning With Minimum Size Constraints Using Integer Programming and Spectral Clustering Techniques
inferred← citeshttps://doi.org/10.1002/net.3230210602openalex-snapshot
The cut cone, L1 embeddability, complexity, and multicommodity flows
inferred← citeshttps://doi.org/10.1002/net.3230240302openalex-snapshot
Local bipartite turán graphs and graph partitioning
inferred← citeshttps://doi.org/10.1007/978-1-4613-1361-8_23openalex-snapshot
A New Tabu Search Approach to the 0–1 Equicut Problem
inferred← citeshttps://doi.org/10.1007/978-3-319-00200-2_2openalex-snapshot
Engineering Branch-and-Cut Algorithms for the Equicut Problem
inferred← citeshttps://doi.org/10.1007/978-3-540-68891-4_8openalex-snapshot
A Comparative Study of Linear and Semidefinite Branch-and-Cut Methods for Solving the Minimum Graph Bisection Problem
inferred← citeshttps://doi.org/10.1007/978-94-011-0924-6_16openalex-snapshot
The Ridge Graph of the Metric Polytope and Some Relatives
inferred← citeshttps://doi.org/10.1007/bf01580897openalex-snapshot
Facets for the cut cone I
inferred← citeshttps://doi.org/10.1007/bf01580898openalex-snapshot
Facets for the cut cone II: Clique-web inequalities
inferred← citeshttps://doi.org/10.1007/bf01581147openalex-snapshot
A computational study of graph partitioning
inferred← citeshttps://doi.org/10.1007/bf01581239openalex-snapshot
The partition problem
inferred← citeshttps://doi.org/10.1007/bf01581260openalex-snapshot
Hamiltonian path and symmetric travelling salesman polytopes
inferred← citeshttps://doi.org/10.1007/bf01585164openalex-snapshot
Min-cut clustering
inferred← citeshttps://doi.org/10.1007/bf01588779openalex-snapshot
The equipartition polytope. II: Valid inequalities and facets
inferred← citeshttps://doi.org/10.1007/bf02032130openalex-snapshot
A projection technique for partitioning the nodes of a graph
inferred← citeshttps://doi.org/10.1007/bf02592198openalex-snapshot
Formulations and valid inequalities for the node capacitated graph partitioning problem
inferred← citeshttps://doi.org/10.1007/bf02614373openalex-snapshot
A branch-and-cut algorithm for the equicut problem
inferred← citeshttps://doi.org/10.1007/s10107-002-0342-xopenalex-snapshot
Graph partitioning using linear and semidefinite programming
inferred← citeshttps://doi.org/10.1007/s12532-012-0040-5openalex-snapshot
LP and SDP branch-and-cut algorithms for the minimum graph bisection problem: a computational comparison
inferred← citeshttps://doi.org/10.1007/s12532-022-00228-yopenalex-snapshot
Solving graph partitioning on sparse graphs: cuts, projections, and extended formulations
inferred← citeshttps://doi.org/10.1007/s12532-023-00249-1openalex-snapshot
CP-Lib: Benchmark Instances of the Clique Partitioning Problem
inferred← citeshttps://doi.org/10.1016/0012-365x(93)90115-aopenalex-snapshot
The inequicut cone
inferred← citeshttps://doi.org/10.1016/0166-218x(93)e0175-xopenalex-snapshot
Facets of the k-partition polytope
inferred← citeshttps://doi.org/10.1016/0166-218x(94)00151-3openalex-snapshot
Some new classes of facets for the equicut polytope
inferred← citeshttps://doi.org/10.1016/0377-0427(94)90020-5openalex-snapshot
Applications of cut polyhedra — I
inferred← citeshttps://doi.org/10.1016/j.dam.2004.02.020openalex-snapshot
A polyhedral approach for a constrained quadratic 0–1 problem
inferred← citeshttps://doi.org/10.1016/j.dam.2014.05.032openalex-snapshot
On the polyhedral structure of uniform cut polytopes
inferred← citeshttps://doi.org/10.1016/j.dam.2016.04.002openalex-snapshot
Polyhedral combinatorics of the K -partitioning problem with representative variables
inferred← citeshttps://doi.org/10.1016/j.disc.2010.08.009openalex-snapshot
Size-constrained graph partitioning polytopes
inferred← citeshttps://doi.org/10.1016/j.disc.2011.01.018openalex-snapshot
From equipartition to uniform cut polytopes: Extended polyhedral results
inferred← citeshttps://doi.org/10.1016/j.disc.2022.112884openalex-snapshot
An overview of graph covering and partitioning
inferred← citeshttps://doi.org/10.1016/j.disopt.2006.08.001openalex-snapshot
Facet-defining inequalities for the simple graph partitioning polytope
inferred← citeshttps://doi.org/10.1016/j.disopt.2017.03.001openalex-snapshot
Facets for node-capacitated multicut polytopes from path-block cycles with two common nodes
inferred← citeshttps://doi.org/10.1016/s0166-218x(97)00039-5openalex-snapshot
Cardinality constrained Boolean quadratic polytope
inferred← citeshttps://doi.org/10.1016/s0377-2217(97)00287-7openalex-snapshot
Solution of large weighted equicut problems
inferred← citeshttps://doi.org/10.1023/b:joco.0000031417.96218.26openalex-snapshot
b-Tree Facets for the Simple Graph Partitioning Polytope
inferred← citeshttps://doi.org/10.1137/060675253openalex-snapshot
On the Graph Bisection Cut Polytope
inferred← citeshttps://doi.org/10.1287/ijoc.12.3.177.12637openalex-snapshot
Solving Graph Bisection Problems with Semidefinite Programming
inferred← citeshttps://doi.org/10.1287/mnsc.46.3.363.12066openalex-snapshot
Telecommunication Node Clustering with Node Compatibility and Network Survivability Requirements
inferred← citeshttps://doi.org/10.1287/opre.39.5.824openalex-snapshot
An Operation Partitioning Problem for Automated Assembly System Design
inferred← citeshttps://doi.org/10.15388/20-infor391openalex-snapshot
A Complementary Column Generation Approach for the Graph Equipartition Problem
inferred← citeshttps://doi.org/10.7282/t3sb4419openalex-snapshot
Two applications of combinatorial optimization
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