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  • 05-XX Combinatorics
  • 05Cxx Graph theory
  • 05C63 Infinite graphs

05Cxx Graph theory

  • 05C05 Trees
  • 05C07 Vertex degrees
  • 05C10 Planar graphs; geometric and topological aspects of graph theory
  • 05C12 Distance in graphs
  • 05C15 Coloring of graphs and hypergraphs
  • 05C17 Perfect graphs
  • 05C20 Directed graphs (digraphs), tournaments
  • 05C21 Flows in graphs
  • 05C22 Signed and weighted graphs
  • 05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
  • 05C30 Enumeration in graph theory
  • 05C31 Graph polynomials
  • 05C35 Extremal problems
  • 05C38 Paths and cycles
  • 05C40 Connectivity
  • 05C42 Density (toughness, etc.)
  • 05C45 Eulerian and Hamiltonian graphs
  • 05C50 Graphs and linear algebra (matrices, eigenvalues, etc.)
  • 05C51 Graph designs and isomomorphic decomposition
  • 05C55 Generalized Ramsey theory
  • 05C57 Games on graphs
  • 05C60 Isomorphism problems (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.)
  • 05C62 Graph representations (geometric and intersection representations, etc.) {For graph drawing, see also }
  • 05C63 Infinite graphs
  • 05C65 Hypergraphs
  • 05C69 Dominating sets, independent sets, cliques
  • 05C70 Factorization, matching, partitioning, covering and packing
  • 05C72 Fractional graph theory, fuzzy graph theory
  • 05C75 Structural characterization of families of graphs
  • 05C76 Graph operations (line graphs, products, etc.)
  • 05C78 Graph labelling (graceful graphs, bandwidth, etc.)
  • 05C80 Random graphs
  • 05C81 Random walks on graphs
  • 05C82 Small world graphs, complex networks
  • 05C83 Graph minors
  • 05C85 Graph algorithms
  • 05C90 Applications
  • 05C99 None of the above, but in this section
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