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< 05Bxx | 05-XX | 05Dxx >
05-XX Combinatorics {For finite fields, see 11Txx}
05Cxx Graph theory {For applications of graphs, see 68R10, 81Q30, 81T15, 82B20, 82C20, 90C35, 92E10, 94C15}
05C05   Trees
05C07   Vertex degrees [See also 05E30]
05C10   Planar graphs; geometric and topological aspects of graph theory [See also 57M15, 57M25]
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.) [See also 20F65]
05C30   Enumeration in graph theory
05C31   Graph polynomials
05C35   Extremal problems [See also 90C35]
05C38   Paths and cycles [See also 90B10]
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 [See also 05B30]
05C55   Generalized Ramsey theory [See also 05D10]
05C57   Games on graphs [See also 91A43, 91A46]
05C60   Isomorphism problems (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.)
05C62   Graph representations (geometric and intersection representations, etc.) {For graph drawing, see also 68R10}
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 [See also 60B20]
05C81   Random walks on graphs
05C82   Small world graphs, complex networks [See also 90Bxx, 91D30]
05C83   Graph minors
05C85   Graph algorithms [See also 68R10, 68W05]
05C90   Applications [See also 68R10, 81Q30, 81T15, 82B20, 82C20, 90C35, 92E10, 94C15]
05C99   None of the above, but in this section
< 05Bxx | 05-XX | 05Dxx >
American Mathematical Society