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Perfect zero–one matrices

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What this work says

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

inferredcites →https://doi.org/10.1002/9781119265856.ch8openalex-snapshot
Mathematical Programming
inferredcites →https://doi.org/10.1007/bf01580121openalex-snapshot
On the facial structure of set packing polyhedra
inferredcites →https://doi.org/10.1007/bf01584085openalex-snapshot
Blocking and anti-blocking pairs of polyhedra
inferredcites →https://doi.org/10.1007/bf01584535openalex-snapshot
Balanced matrices
inferredcites →https://doi.org/10.1016/0012-365x(72)90006-4openalex-snapshot
Normal hypergraphs and the perfect graph conjecture
inferredcites →https://doi.org/10.1016/0095-8956(72)90045-7openalex-snapshot
A characterization of perfect graphs
inferredcites →https://doi.org/10.1016/0095-8956(75)90041-6openalex-snapshot
On certain polytopes associated with graphs
inferredcites →https://doi.org/10.1016/b978-0-12-358350-5.50006-3openalex-snapshot
On the Perfect Graph Theorem
inferredcites →https://doi.org/10.1287/opre.20.6.1152openalex-snapshot
On the Set-Covering Problem

What points at this work

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

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Berge graphs with chordless cycles of bounded length
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On critically perfect graphs
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Order-preserving assignments
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Perfect Graphs
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References
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Recursive generation of partitionable graphs
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Circular perfect graphs
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C‐perfect hypergraphs
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Split-Neighborhood Graphs and the Strong Perfect Graph Conjecture
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Set Covering, Packing and Partitioning Problems
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Critical and Anticritical Edges in Perfect Graphs
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Set Covering, Packing and Partitioning Problems
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Integer and Combinatorial Optimization
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Set Covering, Packing, and Partitioning Problems
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Complementation in T-perfect Graphs
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Die Zwiebelstrukturen Einiger Klassen von Kombinatorischen und Graphentheoretischen Problemen
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Claw-Free t-Perfect Graphs Can Be Recognised in Polynomial Time
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Characterizations of Total Dual Integrality
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Minimum Clique Cover in Claw-Free Perfect Graphs and the Weak Edmonds-Johnson Property
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Facets of Combinatorial Optimization
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Facets and Rank of Integer Polyhedra
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Beyond Perfection: Computational Results for Superclasses
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On Inverse-Image of Non-Oriented Graphs
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Aspects of Bus Crew Scheduling Using a Set Partitioning Model
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Auswahl von theoriebezogenen Veröffentlichungen
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Perfect Zero-One Matrices — II
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Combinatorial Optimization: An Introduction
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Odd Pairs of Cliques
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Parameters of Partial Orders and Graphs: Packing, Covering, and Representation
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Set Partitioning
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Characterisations of Totally Unimodular, Balanced and Perfect Matrices
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Discrete extremal problems
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Polynomially bounded algorithms for locatingp-centers on a tree
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Properties of balanced and perfect matrices
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Testing balancedness and perfection of linear matrices
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Near-perfect matrices
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On perfect graphs and polyhedra with (0, 1)-valued extreme points
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Odd cycles and matrices with integrality properties
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Applying Lehman's theorems to packing problems
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Minimal imperfect graphs: A simple approach
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Generalized resolution and cutting planes
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Perfect graphs with noP 5 and noK 5
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Slightly triangulated graphs are perfect
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Chair-Free Berge Graphs Are Perfect
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(K4-e)-free perfect graphs and star cutsets
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Balanced matrices and property (G)
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Classes of linear programs with integral optimal solutions
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Rank-perfect and" weakly rank-perfect graphs
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The Robust Chromatic Number of Graphs
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Imperfect and Nonideal Clutters: A Common Approach
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Perfect Graphs, Partitionable Graphs and Cutsets
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Progress on perfect graphs
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Almost all webs are not rank-perfect
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Alternatives for testing total dual integrality
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Computing clique and chromatic number of circular-perfect graphs in polynomial time
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Antiwebs are rank-perfect
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On circulant thin Lehman matrices
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Efficient Solutions for Special Zero-One Programming Problems
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Recognizing integrality of weighted rectangles partitions
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A class of polynomially solvable 0–1 programming problems and an application
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A class of facet producing graphs for vertex packing polyhedra
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A note on the total unimodularity of matrices
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Classification de certaines matrices 0–1
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Graphical properties related to minimal imperfection
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Combinatorial designs related to the strong perfect graph conjecture
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A classification of certain graphs with minimal imperfection properties
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Partitionable graphs, circle graphs, and the berge strong perfect graph conjecture
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Uniquely colorable perfect graphs
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On circular critical graphs
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Wings and perfect graphs
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Articulation sets in linear perfect matrices I: forbidden configurations and star cutsets
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Lehman's forbidden minor characterization of ideal 0–1 matrices
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New classes of Berge perfect graphs
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Perfect graphs are kernel solvable
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Some properties of minimal imperfect graphs
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Order preserving assignments without contiguity
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On a graph partition problem with application to VLSI layout
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Almost integral polyhedra related to certain combinatorial optimization problems
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Local unimodularity of matrix-vector pairs
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On certain polytopes associated with graphs
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On the strong perfect graph conjecture
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Critical perfect graphs and perfect 3-chromatic graphs
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On stable set polyhedra for K1,3-free graphs
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The strong perfect graph conjecture for toroifal graphs
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Meyniel graphs are strongly perfect
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A family of perfect graphs associated with directed graphs
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A reduction procedure for coloring perfect K4-free graphs
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No antitwins in minimal imperfect graphs
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Locally perfect graphs
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On a conjecture of berge
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Generalized perfect graphs: Characterizations and inversion
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Directed Moore hypergraphs
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A min-max relation for K3-covers in graphs noncontractible to K5e
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A note on clutter partitions
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On the integer properties of scheduling set partitioning models
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Perfect Graphs
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References
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Notes on Perfect Graphs
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References††The first comprehensive references list is due to Balinski and Spielberg (1969). A later list appears in the work of Garfinkel and Nemhauser (1972b).
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A rich model for the tramp ship routing and scheduling problem—Solved through column generation
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Partitionable graphs arising from near-factorizations of finite groups
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Cayley partitionable graphs and near-factorizations of finite groups
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Perfect graphs with unique P4-structure
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An approach to solving Ak=J−I
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Perfect 0, ± 1 matrices
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P4-domination in minimal imperfect graphs
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Perfect graphs
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Conjuncturally Stable Coalition Structures
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Some Valid Inequalities for the Set Partitioning Problem
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On the Complexity of Set Packing Polyhedra
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The Role of Unimodularity in Applying Linear Inequalities to Combinatorial Theorems
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Graph Theory and Integer Programming
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Covering, Packing and Knapsack Problems
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Minimax Theorems for Normal Hypergraphs and Balanced Hypergraphs — A Survey
inferred← citeshttps://doi.org/10.1016/s0304-0208(08)72925-6openalex-snapshot
The Perfect Graph Conjecture for Toroidal Graphs
inferred← citeshttps://doi.org/10.1016/s0304-0208(08)72926-8openalex-snapshot
The Perfect Graph Conjecture on Special Graphs — A Survey
inferred← citeshttps://doi.org/10.1016/s0304-0208(08)72930-xopenalex-snapshot
The Validity of the Perfect Graph Conjecture for K4-Free Graphs
inferred← citeshttps://doi.org/10.1016/s0304-0208(08)72931-1openalex-snapshot
The Strong Perfect Graph Theorem for a Class of Partitionable Graphs
inferred← citeshttps://doi.org/10.1016/s0304-0208(08)72932-3openalex-snapshot
A Characterization of Perfect Matrices
inferred← citeshttps://doi.org/10.1016/s0304-0208(08)72933-5openalex-snapshot
Graphical Properties Related to Minimal Imperfection
inferred← citeshttps://doi.org/10.1016/s0304-0208(08)72935-9openalex-snapshot
Combinatorial Designs Related to the Perfect Graph Conjecture
inferred← citeshttps://doi.org/10.1016/s0304-0208(08)72936-0openalex-snapshot
A Classification of Certain Graphs with Minimal Imperfection Properties
inferred← citeshttps://doi.org/10.1016/s0304-3975(99)00201-7openalex-snapshot
Forced color classes, intersection graphs and the strong perfect graph conjecture
inferred← citeshttps://doi.org/10.1016/s0304-3975(99)00203-0openalex-snapshot
Perfect (0,±1)-matrices and perfect bidirected graphs
inferred← citeshttps://doi.org/10.1016/s0377-2217(00)00056-4openalex-snapshot
Perfect, ideal and balanced matrices
inferred← citeshttps://doi.org/10.1016/s0898-1221(99)91259-2openalex-snapshot
Integer and combinatorial optimization
inferred← citeshttps://doi.org/10.1016/s0924-6509(08)70105-3openalex-snapshot
WITHDRAWN: References
inferred← citeshttps://doi.org/10.1016/s1571-0653(04)00446-9openalex-snapshot
On Non-Rank Facets of Stable Set Polytopes of Webs with Clique Number Four–Extended Abstract–
inferred← citeshttps://doi.org/10.1016/s1571-0653(05)80179-9openalex-snapshot
Cayley partitionable graphs
inferred← citeshttps://doi.org/10.1017/cbo9780511619748.009openalex-snapshot
Integer/Combinatorial Optimization
inferred← citeshttps://doi.org/10.1051/matecconf/201713703013openalex-snapshot
Optimal production size with partially inspected batches
inferred← citeshttps://doi.org/10.1057/jors.1977.181openalex-snapshot
Mathematical Programming Studies
inferred← citeshttps://doi.org/10.1080/00029890.1977.11994487openalex-snapshot
Monthly Research Problems 1969-77
inferred← citeshttps://doi.org/10.1103/physreva.88.032104openalex-snapshot
Basic exclusivity graphs in quantum correlations
inferred← citeshttps://doi.org/10.1109/tac.2022.3161876openalex-snapshot
A Structure-Tensor Approach to Integer Matrix Completion in Indivisible Resource Allocation
inferred← citeshttps://doi.org/10.1111/j.1475-3995.2009.00744.xopenalex-snapshot
On the Chvátal rank of linear relaxations of the stable set polytope
inferred← citeshttps://doi.org/10.1111/j.1749-6632.1979.tb32832.xopenalex-snapshot
BERGE'S STRONG PERFECT GRAPH CONJECTURE
inferred← citeshttps://doi.org/10.1137/0604036openalex-snapshot
A Class of Balanced Matrices Arising from Location Problems
inferred← citeshttps://doi.org/10.1137/1.9780898717105openalex-snapshot
Combinatorial Optimization
inferred← citeshttps://doi.org/10.1137/1.9780898718805.ch5openalex-snapshot
5. The Clique-Rank of 3-Chromatic Perfect Graphs
inferred← citeshttps://doi.org/10.1137/1.9780898719796.ch14openalex-snapshot
14. The Strong Perfect Graph Conjecture
inferred← citeshttps://doi.org/10.1137/1018115openalex-snapshot
Set Partitioning: A survey
inferred← citeshttps://doi.org/10.1137/151006111openalex-snapshot
Claw-Free $t$-Perfect Graphs Can Be Recognized in Polynomial Time
inferred← citeshttps://doi.org/10.1137/22m1530410openalex-snapshot
A Sum of Squares Characterization of Perfect Graphs
inferred← citeshttps://doi.org/10.1137/s0895480197329089openalex-snapshot
Recognizing Perfect 2-Split Graphs
inferred← citeshttps://doi.org/10.1142/s0219622003000495openalex-snapshot
COMBINATORIAL AUCTIONS MATHEMATICAL FORMULATIONS AND OPEN ISSUES
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