zbMATH — the first resource for mathematics

Mathematics Subject Classification – MSC2010

05-XX

Combinatorics [For finite fields, see 11Txx] 169459

05Cxx

Graph theory [For applications of graphs, see 68R10, 81Q30, 81T15, 82B20, 82C20, 90C35, 92E10, 94C15] 115396

05C05

Trees 10801

05C07

Vertex degrees [See also 05E30] 2302

05C10

Planar graphs; geometric and topological aspects of graph theory [See also 57M15, 57M25] 10117

05C12

Distance in graphs 6178

05C15

Coloring of graphs and hypergraphs 14944

05C17

Perfect graphs 456

05C20

Directed graphs (digraphs), tournaments 9006

05C21

Flows in graphs 395

05C22

Signed and weighted graphs 1373

05C25

Graphs and abstract algebra (groups, rings, fields, etc.) [See also 20F65] 8166

05C30

Enumeration in graph theory 3836

05C31

Graph polynomials 945

05C35

Extremal problems [See also 90C35] 12362

05C38

Paths and cycles [See also 90B10] 10814

05C40

Connectivity 6300

05C42

Density (toughness, etc.) 446

05C45

Eulerian and Hamiltonian graphs 4773

05C50

Graphs and linear algebra (matrices, eigenvalues, etc.) 9231

05C51

Graph designs and isomomorphic decomposition [See also 05B30] 274

05C55

Generalized Ramsey theory [See also 05D10] 2179

05C57

Games on graphs [See also 91A43, 91A46] 750

05C60

Isomorphism problems (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) 2748

05C62

Graph representations (geometric and intersection representations, etc.) [For graph drawing, see also 68R10] 2195

05C63

Infinite graphs 467

05C65

Hypergraphs 4493

05C69

Dominating sets, independent sets, cliques 6888

05C70

Factorization, matching, partitioning, covering and packing 11521

05C72

Fractional graph theory, fuzzy graph theory 381

05C75

Structural characterization of families of graphs 4722

05C76

Graph operations (line graphs, products, etc.) 2040

05C78

Graph labelling (graceful graphs, bandwidth, etc.) 4283

05C80

Random graphs [See also 60B20] 5468

05C81

Random walks on graphs 730

05C82

Small world graphs, complex networks [See also 90Bxx, 91D30] 2146

05C83

Graph minors 798

05C85

Graph algorithms [See also 68R10, 68W05] 12280

05C90

Applications [See also 68R10, 81Q30, 81T15, 82B20, 82C20, 90C35, 92E10, 94C15] 6382

05C99

None of the above, but in this section 7763

Overview

General mathematics

History and biography

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Combinatorics

Order, lattices, ordered algebraic structures

General algebraic systems

Number theory

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Associative rings and algebras

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Category theory, homological algebra

$K$-theory

Group theory and generalizations

Topological groups, Lie groups

Real functions

Measure and integration

Functions of a complex variable

Potential theory

Several complex variables and analytic spaces

Special functions

Ordinary differential equations

Partial differential equations

Dynamical systems and ergodic theory

Difference and functional equations

Sequences, series, summability

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Harmonic analysis on Euclidean spaces

Abstract harmonic analysis

Integral transforms, operational calculus

Integral equations

Functional analysis

Operator theory

Calculus of variations and optimal control; optimization

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General topology

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Manifolds and cell complexes

Global analysis, analysis on manifolds

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Mechanics of deformable solids

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Quantum Theory

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Astronomy and astrophysics

Geophysics

Operations research, mathematical programming

Game theory, economics, social and behavioral sciences

Biology and other natural sciences

Systems theory; control

Information and communication, circuits

Mathematics education

any	anywhere
cc	classification code
ct	classification text

a & b	logical and	abc*	right wildcard
a \| b	logical or	"ab c"	phrase
!ab	logical not	(ab c)	parentheses

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Mathematics Subject Classification – MSC2010

Overview