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05A Combinatorics: Enumerative combinatorics

05B Combinatorics: Designs and configurations

05C Combinatorics: 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
05C45 Eulerian and Hamiltonian graphs
05C50 Graphs and linear algebra (matrices, eigenvalues, etc.)
05C55 Generalized Ramsey theory
05C60 Isomorphism problems (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.)
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
05C82 Small world graphs, complex networks
05C85 Graph algorithms
05C90 Applications
05C99 None of the above, but in this section

05D Combinatorics: Extremal combinatorics

05E Combinatorics: Algebraic combinatorics

05E10 Combinatorial aspects of representation theory
05E15 Combinatorial aspects of groups and algebras
05E18 Group actions on combinatorial structures
05E20 Group actions on designs, geometries and codes
05E30 Association schemes, strongly regular graphs
05E45 Combinatorial aspects of simplicial complexes

06B Order, lattices, ordered algebraic structures: Lattices

11H Number theory: Geometry of numbers

11T Number theory: Finite fields and commutative rings (number-theoretic aspects)

13A Commutative algebra: General commutative ring theory

15A Linear and multilinear algebra; matrix theory: Basic linear algebra

15B Linear and multilinear algebra; matrix theory: Special matrices

16D Associative rings and algebras: Modules, bimodules and ideals

20A Group theory and generalizations: Foundations

20B Group theory and generalizations: Permutation groups

20C Group theory and generalizations: Representation theory of groups

20D Group theory and generalizations: Abstract finite groups

60F Probability theory and stochastic processes: Limit theorems

68Q Computer science: Theory of computing

90C Operations research, mathematical programming: Mathematical programming

92E Biology and other natural sciences: Chemistry

93C Systems theory; control: Control systems

94B Information and communication, circuits: Theory of error-correcting codes and error-detecting codes

94C Information and communication, circuits: Circuits, networks

97K Mathematics education: Combinatorics, graph theory, probability theory, statistics

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