zbMATH — the first resource for mathematics

Mathematics Subject Classification – MSC2020

05-XX

Combinatorics {For finite fields, see 11Txx} 181371

05Cxx

Graph theory {For applications of graphs, see 68R10, 81Q30, 81T15, 82B20, 82C20, 90C35, 92E10, 94C15} 124030

05C05

Trees 11486

05C07

Vertex degrees [See also 05E30] 2691

05C09

Graphical indices (Wiener index, Zagreb index, Randić index, etc.) 84

05C10

Planar graphs; geometric and topological aspects of graph theory [See also 57K10, 57M15] 10833

05C12

Distance in graphs 7061

05C15

Coloring of graphs and hypergraphs 16022

05C17

Perfect graphs 496

05C20

Directed graphs (digraphs), tournaments 9537

05C21

Flows in graphs 468

05C22

Signed and weighted graphs 1628

05C25

Graphs and abstract algebra (groups, rings, fields, etc.) [See also 20F65] 8779

05C30

Enumeration in graph theory 4213

05C31

Graph polynomials 1146

05C35

Extremal problems in graph theory [See also 90C35] 13050

05C38

Paths and cycles [See also 90B10] 11441

05C40

Connectivity 6986

05C42

Density (toughness, etc.) 534

05C45

Eulerian and Hamiltonian graphs 5025

05C48

Expander graphs 2

05C50

Graphs and linear algebra (matrices, eigenvalues, etc.) 10194

05C51

Graph designs and isomorphic decomposition [See also 05B30] 314

05C55

Generalized Ramsey theory [See also 05D10] 2319

05C57

Games on graphs (graph-theoretic aspects) [See also 91A43, 91A46] 891

05C60

Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) 3005

05C62

Graph representations (geometric and intersection representations, etc.) {For graph drawing, see also 68R10} 2450

05C63

Infinite graphs 539

05C65

Hypergraphs 4905

05C69

Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) 7709

05C70

Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) 12411

05C72

Fractional graph theory, fuzzy graph theory 457

05C75

Structural characterization of families of graphs 4980

05C76

Graph operations (line graphs, products, etc.) 2449

05C78

Graph labelling (graceful graphs, bandwidth, etc.) 4626

05C80

Random graphs (graph-theoretic aspects) [See also 60B20] 5992

05C81

Random walks on graphs 884

05C82

Small world graphs, complex networks (graph-theoretic aspects) [See also 90Bxx, 91D30] 2556

05C83

Graph minors 897

05C85

Graph algorithms (graph-theoretic aspects) [See also 68R10, 68W05] 13406

05C90

Applications of graph theory [See also 68R10, 81Q30, 81T15, 82B20, 82C20, 90C35, 92E10, 94C15] 7112

05C92

Chemical graph theory [See also 92E10] 22

05C99

None of the above, but in this section 7872

Overview

General and overarching topics; collections

History and biography

Mathematical logic and foundations

Combinatorics

Order, lattices, ordered algebraic structures

General algebraic systems

Number theory

Field theory and polynomials

Commutative algebra

Algebraic geometry

Linear and multilinear algebra; matrix theory

Associative rings and algebras

Nonassociative rings and algebras

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

Approximations and expansions

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

Geometry

Convex and discrete geometry

Differential geometry

General topology

Algebraic topology

Manifolds and cell complexes

Global analysis, analysis on manifolds

Probability theory and stochastic processes

Statistics

Numerical analysis

Computer science

Mechanics of particles and systems

Mechanics of deformable solids

Fluid mechanics

Optics, electromagnetic theory

Classical thermodynamics, heat transfer

Quantum theory

Statistical mechanics, structure of matter

Relativity and gravitational theory

Astronomy and astrophysics

Geophysics

Operations research, mathematical programming

Game theory, economics, finance, and other social and behavioral sciences

Biology and other natural sciences

Systems theory; control

Information and communication theory, 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 – MSC2020

Overview