05A05 Permutations, words, matrices 05A10 Factorials, binomial coefficients, combinatorial functions 05A15 Exact enumeration problems, generating functions 05A17 Partitions of integers 05A19 Combinatorial identities, bijective combinatorics 05A20 Combinatorial inequalities

05B05 Block designs 05B15 Orthogonal arrays, Latin squares, Room squares 05B20 Matrices (incidence, Hadamard, etc.) 05B35 Matroids, geometric lattices 05B45 Tessellation and tiling problems

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.) 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.) 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

05D10 Ramsey theory 05D15 Transversal (matching) theory

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 05E40 Combinatorial aspects of commutative algebra 05E45 Combinatorial aspects of simplicial complexes

06B99 None of the above, but in this section

11H71 Relations with coding theory

11T71 Algebraic coding theory; cryptography

13A99 None of the above, but in this section

15A15 Determinants, permanents, other special matrix functions 15A18 Eigenvalues, singular values, and eigenvectors

15B05 Toeplitz, Cauchy, and related matrices

16D25 Ideals

20A05 Axiomatics and elementary properties

20B05 General theory for finite groups

20C20 Modular representations and characters 20C99 None of the above, but in this section

20D05 Finite simple groups and their classification 20D06 Simple groups: alternating groups and groups of Lie type 20D60 Arithmetic and combinatorial problems

60F05 Central limit and other weak theorems

68Q25 Analysis of algorithms and problem complexity

68R10 Graph theory (including graph drawing)

90C27 Combinatorial optimization

92E10 Molecular structure (graph-theoretic methods, methods of differential topology, etc.)

93C75 Applications of control theory

94B10 Convolutional codes 94B25 Combinatorial codes

94C15 Applications of graph theory

97K30 Graph theory