- Number of Guards Needed by a Museum: A Phase Transition in Vertex Covering of Random Graphs
2000/01/31 by Martin Weigt, Alexander K. Hartmann · 212 citations
Computer Science · Mathematics · Physics and Astronomy · #Combinatorics #Computer science #Cover (algebra) #Discrete mathematics #Graph #Markov Chains and Monte Carlo Methods #Mathematics #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum mechanics #Random graph #Replica #Set (abstract data type) #Statistical physics #Stochastic processes and statistical mechanics #Symmetry breaking #Theoretical and Computational Physics #Vertex (graph theory) #Vertex cover #cond-mat.dis-nn #cond-mat.stat-mech #cs.CC
- Large Cliques Elude the Metropolis Process
1992/01/01 by Mark Jerrum · 327 citations
Computer Science · Mathematics · #Advanced Graph Theory Research #Complexity and Algorithms in Graphs #Computational Geometry and Mesh Generation #Heuristics #Clique #Heuristic #Combinatorics #Greedy algorithm #Random graph #Graph #Clique problem #Mathematics #Computer science #Mathematical optimization #Theoretical computer science #Chordal graph
- An extremal function for contractions of graphs
1984/03/01 by Andrew Thomason · 331 citations
Mathematics · Computer Science · Medicine · #Mathematical Approximation and Integration #Complexity and Algorithms in Graphs #Markov Chains and Monte Carlo Methods #Combinatorics #Mathematics #Graph #Contraction (grammar) #Function (biology) #Random graph #Simple (philosophy) #Simple graph #Order (exchange) #Discrete mathematics #Internal medicine #Philosophy #Biology #Medicine
- Random Graph Isomorphism
1980/08/01 by László Babai, Paul Erdo ̋s, Stanley M. Selkow · 306 citations
Computer Science · Mathematics · #Graph Theory and Algorithms #Data Management and Algorithms #Graph Labeling and Dimension Problems #Combinatorics #Graph isomorphism #Mathematics #Pairwise comparison #Graph homomorphism #Discrete mathematics #Random graph #Metric dimension #Chordal graph #Graph #Line graph #1-planar graph #Graph power
- Canonical labelling of graphs in linear average time
1979/10/01 by László Babai, Ludik Kucera · 159 citations
Computer Science · Mathematics · Chemistry · #Graph Theory and Algorithms #Data Management and Algorithms #Advanced Graph Neural Networks #Isomorphism (crystallography) #Vertex (graph theory) #Combinatorics #Graph isomorphism #Mathematics #Labelling #Random graph #Simple (philosophy) #Discrete mathematics #Graph #Line graph #Chemistry
- Generalized Gibbs states and Markov random fields
1973/08/01 by C.J. Preston · 47 citations
Mathematics · Physics and Astronomy · #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Markov Chains and Monte Carlo Methods #Mathematics #Markov chain #Random field #Statistical physics #Random graph #Markov model #Nearest neighbour #Markov process #Markov kernel #Variable-order Markov model #Markov property #Graph #Combinatorics #Discrete mathematics #Statistics #Computer science #Artificial intelligence #Physics
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