The edge-disjoint paths problem is NP-complete for series-parallel graphs
From MaRDI portal
Publication:5954246
DOI10.1016/S0166-218X(01)00223-2zbMath1001.68091MaRDI QIDQ5954246
Xiao Zhou, Jens Vygen, Takao Nishizeki
Publication date: 22 April 2002
Published in: Discrete Applied Mathematics (Search for Journal in Brave)
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Cites Work
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- The complexity of subgraph isomorphism for classes of partial k-trees
- Primal-dual approximation algorithms for integral flow and multicut in trees
- Edge-disjoint paths in a grid bounded by two nested rectangles
- Edge-disjoint paths in planar graphs
- Algorithms for multicommodity flows in planar graphs
- Automatic generation of linear-time algorithms from predicate calculus descriptions of problems on recursively constructed graph families
- On the complexity of finding iso- and other morphisms for partial \(k\)- trees
- Some simplified NP-complete graph problems
- Approximations for the disjoint paths problem in high-diameter planar networks
- Graph minors. IX: Disjoint crossed paths
- A linear-time algorithm for edge-disjoint paths in planar graphs
- Graph minors. XIII: The disjoint paths problem
- NP-completeness of some edge-disjoint paths problems
- Finding edge-disjoint paths in partial \(k\)-trees
- On the complexity of the disjoint paths problem
- The monadic second-order logic of graphs. I: Recognizable sets of finite graphs
- Easy problems for tree-decomposable graphs
- An Efficient Algorithm for Finding Multicommodity Flows in Planar Networks
- Edge-Coloring Partialk-Trees
- Linear-time computability of combinatorial problems on series-parallel graphs
- An algebraic theory of graph reduction
- Algorithms for Vertex Partitioning Problems on Partial k-Trees
- Faster algorithms for subgraph isomorphism of κ-connected partial κ-trees