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New Lower Bounds for Vertex Cover in the Lovasz-Schrijver Hierarchy

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What this work says

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

inferredcites →https://doi.org/10.1007/11538462_20openalex-snapshot
Towards Optimal Integrality Gaps for Hypergraph Vertex Cover in the Lovász-Schrijver Hierarchy
inferredcites →https://doi.org/10.1016/j.jcss.2007.06.019openalex-snapshot
Vertex cover might be hard to approximate to within 2−ε
inferredcites →https://doi.org/10.1109/ccc.2002.1004334openalex-snapshot
On the power of unique 2-prover 1-round games
inferredcites →https://doi.org/10.1109/ccc.2003.1214437openalex-snapshot
Vertex cover might be hard to approximate to within 2-ε
inferredcites →https://doi.org/10.1109/sfcs.2002.1181954openalex-snapshot
Proving integrality gaps without knowing the linear program
inferredcites →https://doi.org/10.1109/sfcs.2003.1238206openalex-snapshot
Rank bounds and integrality gaps for cutting planes procedures
inferredcites →https://doi.org/10.1137/0403036openalex-snapshot
A Hierarchy of Relaxations between the Continuous and Convex Hull Representations for Zero-One Programming Problems
inferredcites →https://doi.org/10.1137/0801013openalex-snapshot
Cones of Matrices and Set-Functions and 0–1 Optimization
inferredcites →https://doi.org/10.1137/s009753970240118xopenalex-snapshot
The Probable Value of the Lovász--Schrijver Relaxations for Maximum Independent Set
inferredcites →https://doi.org/10.1145/1007352.1007355openalex-snapshot
Expander flows, geometric embeddings and graph partitioning
inferredcites →https://doi.org/10.1145/1060590.1060634openalex-snapshot
Towards strong nonapproximability results in the Lovasz-Schrijver hierarchy
inferredcites →https://doi.org/10.1145/195058.195216openalex-snapshot
.879-approximation algorithms for MAX CUT and MAX 2SAT
inferredcites →https://doi.org/10.1145/509907.510017openalex-snapshot
On the power of unique 2-prover 1-round games
inferredcites →https://doi.org/10.1287/moor.24.1.1openalex-snapshot
On a Representation of the Matching Polytope Via Semidefinite Liftings
inferredcites →https://doi.org/10.1287/moor.26.1.19.10593openalex-snapshot
On the Matrix-Cut Rank of Polyhedra
inferredcites →https://doi.org/10.1287/moor.26.4.796.10012openalex-snapshot
When Does the Positive Semidefiniteness Constraint Help in Lifting Procedures?
inferredcites →https://doi.org/10.4007/annals.2005.162.439openalex-snapshot
On the hardness of approximating vertex cover
inferredcites →https://doi.org/10.4086/toc.2006.v002a002openalex-snapshot

What points at this work

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

inferred← citeshttps://doi.org/10.1002/9780470400531.eorms0479openalex-snapshot
Lovász‐Schrijver Reformulation
inferred← citeshttps://doi.org/10.1007/978-1-4614-0769-0_6openalex-snapshot
Convex Relaxations and Integrality Gaps
inferred← citeshttps://doi.org/10.1007/978-3-642-03685-9_10openalex-snapshot
Optimal Sherali-Adams Gaps from Pairwise Independence
inferred← citeshttps://doi.org/10.1007/978-3-642-20807-2_24openalex-snapshot
Integrality Gaps of Linear and Semi-Definite Programming Relaxations for Knapsack
inferred← citeshttps://doi.org/10.1109/focs.2007.34openalex-snapshot
One-Way Multi-Party Communication Lower Bound for Pointer Jumping with Applications
inferred← citeshttps://doi.org/10.1109/focs.2007.35openalex-snapshot
Integrality gaps of 2 - o(1) for Vertex Cover SDPs in the Lovész-Schrijver Hierarchy
inferred← citeshttps://doi.org/10.1109/focs.2008.74openalex-snapshot
Linear Level Lasserre Lower Bounds for Certain k-CSPs
inferred← citeshttps://doi.org/10.1109/focs.2009.73openalex-snapshot
Integrality Gaps for Strong SDP Relaxations of UNIQUE GAMES
inferred← citeshttps://doi.org/10.1137/1.9781611973402.119openalex-snapshot
Hypercontractive inequalities via SOS, and the Frankl–Rödl graph
inferred← citeshttps://doi.org/10.1145/1250790.1250836openalex-snapshot
Tight integrality gaps for Lovasz-Schrijver LP relaxations of vertex cover and max cut
inferred← citeshttps://doi.org/10.1145/1536414.1536456openalex-snapshot
Sherali-adams relaxations of the matching polytope
inferred← citeshttps://doi.org/10.1145/1597036.1597045openalex-snapshot
A better approximation ratio for the vertex cover problem
inferred← citeshttps://doi.org/10.1145/2090236.2090265openalex-snapshot
Sherali-Adams relaxations and indistinguishability in counting logics
inferred← citeshttps://doi.org/10.4086/toc.2006.v002a004openalex-snapshot
inferred← citeshttps://doi.org/10.4086/toc.2012.v008a012openalex-snapshot
inferred← citeshttps://doi.org/10.4230/lipics.icalp.2016.74openalex-snapshot
Approximating Directed Steiner Problems via Tree Embedding
inferred← citeshttps://doi.org/10.5555/1496770.1496810openalex-snapshot
Exponential lower bounds and integrality gaps for tree-like Lovász-Schrijver procedures
inferred← citeshttps://doi.org/10.5555/2634074.2634193openalex-snapshot
Hypercontractive inequalities via SOS, and the Frankl-Rödl graph
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