- Shortest Reconfiguration of Perfect Matchings via Alternating Cycles
2019/07/03 by Takehiro Ito, Ito, Takehiro, Naonori Kakimura +7 · 1 citation
Computer Science · Mathematics · #Adjacency list #Advanced Graph Theory Research #Bipartite graph #Combinatorics #Complexity and Algorithms in Graphs #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #Discrete mathematics #FOS: Computer and information sciences #Graph #Line graph #Matching (statistics) #Mathematics #Optimization and Search Problems #Pathwidth #Perfect graph #Perfect graph theorem #Planar graph #Shortest path problem #Strong perfect graph theorem #cs.DM #cs.DS
- A Note on First-Fit Coloring of Interval Graphs
2008/02/01 by N. S. Narayanaswamy, R. Subhash Babu · 1 citation
Computer Science · Mathematics · #1-planar graph #Advanced Graph Theory Research #Chordal graph #Clique #Combinatorics #Complexity and Algorithms in Graphs #Discrete mathematics #Graph #Graph coloring #Interval (graph theory) #Interval graph #Line graph #Mathematics #Optimization and Search Problems #Pathwidth #Perfect graph #Split graph
- Classes of perfect graphs
2006/08/07 by Stefan Hougardy · 1 citation
Computer Science · Mathematics · #Advanced Graph Theory Research #Combinatorics #Complexity and Algorithms in Graphs #Conjecture #Discrete mathematics #Graph #Graph Labeling and Dimension Problems #Line graph #Mathematics #Pathwidth #Perfect graph #Perfect graph theorem #Split graph #Strong perfect graph theorem #Trivially perfect graph #Voltage graph
- Perfect graphs, kernels, and cores of cooperative games
2006/07/19 by E. Boros, Endre Boros, Vladimir Gurvich +1 · 1 citation
Computer Science · Economics, Econometrics and Finance · Mathematics · #Advanced Graph Theory Research #Combinatorics #Complexity and Algorithms in Graphs #Conjecture #Discrete mathematics #Extremal graph theory #Game Theory and Voting Systems #Graph #Kernel (algebra) #Line graph #Mathematics #Pathwidth #Perfect graph #Split graph #Voltage graph
- Berge trigraphs
2006/01/01 by Maria Chudnovsky · 1 citation
Engineering · Mathematics · Computer Science · #graph theory and CDMA systems #Limits and Structures in Graph Theory #Advanced Graph Theory Research #Mathematics #Combinatorics #Perfect graph theorem #Perfect graph #Conjecture #Graph #Vertex (graph theory) #Discrete mathematics #Strong perfect graph theorem #Graph power #Line graph #Voltage graph #1-planar graph
- Progress on perfect graphs
2003/07/01 by Maria Chudnovsky, Neil Robertson, P. D. Seymour +2 · 3 citations
Computer Science · Mathematics · #Advanced Graph Theory Research #Cograph #Combinatorics #Conjecture #Discrete mathematics #Distance-hereditary graph #Graph #Graph Labeling and Dimension Problems #Graph power #Limits and Structures in Graph Theory #Line graph #Mathematics #Pathwidth #Perfect graph #Perfect graph theorem #Perfect power #Split graph #Strong perfect graph theorem #Trivially perfect graph
- Building counterexamples
1997/06/01 by Irena Rusu · 1 citation
Computer Science · Mathematics · #Advanced Graph Theory Research #Class (philosophy) #Combinatorics #Complexity and Algorithms in Graphs #Computer science #Conjecture #Counterexample #Discrete mathematics #Graph #Line graph #Mathematics #Optimization and Search Problems #Pathwidth #Perfect graph
- Perfect graphs are kernel solvable
1996/11/01 by Endre Boros, Vladimir Gurvich · 2 citations
Computer Science · Mathematics · #1-planar graph #Advanced Graph Theory Research #Chordal graph #Combinatorics #Complexity and Algorithms in Graphs #Converse #Discrete mathematics #Graph #Graph theory and applications #Kernel (algebra) #Line graph #Mathematics #Pathwidth #Perfect graph #Perfect graph theorem #Split graph #Strong perfect graph theorem
- Kernels in perfect line-graphs
1992/05/01 by Frédéric Maffray · 2 citations
Computer Science · Mathematics · #Advanced Graph Theory Research #Block graph #Combinatorics #Conjecture #Discrete mathematics #Graph #Graph power #Graph theory and applications #Limits and Structures in Graph Theory #Line graph #Mathematics #Pathwidth #Perfect graph #Perfect graph theorem #Voltage graph
- A fast algorithm for coloring Meyniel graphs
1990/12/01 by Alain Hertz, A Hertz · 1 citation
Computer Science · Mathematics · #Advanced Graph Theory Research #Algorithm #Block graph #Chordal graph #Clique #Clique graph #Cograph #Combinatorics #Complexity and Algorithms in Graphs #Computer science #Discrete mathematics #Graph #Graph coloring #Graph power #Induced subgraph #Line graph #Mathematics #Optimization and Search Problems #Pathwidth #Perfect graph #Split graph #Vertex (graph theory)
- Bull-free Berge graphs are perfect
1987/12/01 by Vašek Chvátal, Najiba Sbihi · 2 citations
Computer Science · Mathematics · #1-planar graph #Advanced Graph Theory Research #Chordal graph #Combinatorics #Complement (music) #Discrete mathematics #Graph #Graph theory and applications #Limits and Structures in Graph Theory #Line graph #Mathematics #Pathwidth #Perfect graph #Perfect graph theorem #Strong perfect graph theorem
- On a conjecture of Meyniel
1987/06/01 by C.T Hoàng, Chı́nh T. Hoàng · 3 citations
Computer Science · Mathematics · #Advanced Graph Theory Research #Clique graph #Combinatorics #Complement graph #Conjecture #Discrete mathematics #Distance-hereditary graph #Factor-critical graph #Graph #Graph Labeling and Dimension Problems #Graph factorization #Graph power #Induced subgraph #Limits and Structures in Graph Theory #Line graph #Mathematics #Pathwidth #Perfect graph #Perfect graph theorem #Split graph #Vertex (graph theory) #Voltage graph
- Trivially perfect graphs
1978/01/01 by Martin Charles Golumbic · 1 citation
Computer Science · Mathematics · #1-planar graph #Advanced Graph Theory Research #Chordal graph #Cograph #Combinatorics #Complexity and Algorithms in Graphs #Discrete mathematics #Distance-hereditary graph #Graph #Indifference graph #Induced subgraph #Limits and Structures in Graph Theory #Line graph #Mathematics #Pathwidth #Perfect graph #Perfect graph theorem #Split graph #Strong perfect graph theorem #Trivially perfect graph #Vertex (graph theory) #Voltage graph
- Line perfect graphs
1977/12/01 by L. E. Trotter · 5 citations
Computer Science · Engineering · Mathematics · #Advanced Graph Theory Research #Bipartite graph #Cograph #Combinatorics #Discrete mathematics #Graph #Graph Labeling and Dimension Problems #Line graph #Mathematics #Pathwidth #Perfect graph #Perfect graph theorem #Split graph #Strong perfect graph theorem #Trivially perfect graph #graph theory and CDMA systems
- On the perfect graph conjecture
1976/12/01 by H. Meyniel · 4 citations
Computer Science · Mathematics · #Advanced Graph Theory Research #Combinatorics #Conjecture #Discrete mathematics #Graph #Graph power #Limits and Structures in Graph Theory #Line graph #Mathematics #Pathwidth #Perfect graph #Perfect graph theorem #Trivially perfect graph #Voltage graph #semigroups and automata theory
- A characterization of perfect graphs
1972/10/01 by L Lovász, László Lovász · 11 citations
Computer Science · Mathematics · #Advanced Graph Theory Research #Clique #Cograph #Combinatorics #Complement (music) #Discrete mathematics #Distance-hereditary graph #Graph #Graph power #Graph theory and applications #Induced subgraph #Limits and Structures in Graph Theory #Line graph #Mathematics #Pathwidth #Perfect graph #Perfect graph theorem #Split graph #Strong perfect graph theorem #Trivially perfect graph #Vertex (graph theory)