The complexity of König subgraph problems and above-guarantee vertex cover

DOI10.1007/s00453-010-9412-2zbMath1243.05203OpenAlexW2085312445MaRDI QIDQ652520

Saket Saurabh, C. R. Subramanian, Somnath Sikdar, Sounaka Mishra, Venkatesh Raman

Publication date: 14 December 2011

Published in: Algorithmica (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.435.1176

zbMATH Keywords

maximum matchingapproximation algorithmsvertex coverparameterized complexityKönig graphsabove guarantee vertex coverKönig vertex/edge deletion setsunique game conjecture

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Graph algorithms (graph-theoretic aspects) (05C85)

Related Items (20)

König graphs for 3-paths and 3-cycles ⋮ A Randomized Polynomial Kernelization for Vertex Cover with a Smaller Parameter ⋮ Constraint Satisfaction Problems Parameterized above or below Tight Bounds: A Survey ⋮ Stabilizing Network Bargaining Games by Blocking Players ⋮ On approximability of optimization problems related to red/blue-split graphs ⋮ Vertex cover kernelization revisited. Upper and lower bounds for a refined parameter ⋮ Note on maximal bisection above tight lower bound ⋮ Additive stabilizers for unstable graphs ⋮ Finding small stabilizers for unstable graphs ⋮ Unnamed Item ⋮ Research on solution space of bipartite graph vertex-cover by maximum matchings ⋮ Graph Stabilization: A Survey ⋮ Stabilizing network bargaining games by blocking players ⋮ Faster graph bipartization ⋮ Stabilizing Weighted Graphs ⋮ New Algorithms for Edge Induced König-Egerváry Subgraph Based on Gallai-Edmonds Decomposition ⋮ Rank Vertex Cover as a Natural Problem for Algebraic Compression ⋮ A characterization of König-Egerváry graphs with extendable vertex covers ⋮ Tractability of König edge deletion problems ⋮ Above guarantee parameterization for vertex cover on graphs with maximum degree 4

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