The complexity of Boolean matrix root computation
DOI10.1016/j.tcs.2004.02.041zbMath1071.68031OpenAlexW1507513857MaRDI QIDQ1884841
Publication date: 27 October 2004
Published in: Theoretical Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.tcs.2004.02.041
Computational complexityBoolean matrixSubdivisionRootDirected graphBinary relationGraph isomorphismGraph power
Analysis of algorithms and problem complexity (68Q25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) (68Q17) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Semigroups (20M99)
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Cites Work
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- On the complexity of H-coloring
- Ordering \(D\)-classes and computing Schein rank is hard
- A note on the graph isomorphism counting problem
- Computing roots of graphs is hard
- On the complexity of polytope isomorphism problems
- Efficient determination of the transitive closure of a directed graph
- On the m-th roots of a complex matrix
- Some NP-Complete Problems Similar to Graph Isomorphism
- Isomorphism Testing for Graphs, Semigroups, and Finite Automata are Polynomially Equivalent Problems
- A Padé Approximation Method for Square Roots of Symmetric Positive Definite Matrices
- On the Sequence of Consecutive Powers of a Matrix in a Boolean Algebra
- Newton's Method for the Matrix Square Root
- The Transitive Reduction of a Directed Graph
- Uniqueness of matrix square roots and an application