Home›Combinatorics and Graph Theory›All Combinatorics and Graph TheoryBrowse ByAll Combinatorics and Graph TheoryReference and ClassificationDevelopingProved results in combinatorics and graph theory: counting, matching, coloring, connectivity and extremal theorems about finite discrete structures. Belongs here: theorem entities whose subject is combinatorics or graph theory. Does not belong here: the branch-level Combinatorics and Graph Theory entity itself, a different entity of a different type.FactsAll Combinatorics and Graph TheorySourcesComments (0)Reader Challenges (0)FactsComparisonEra Of EmergenceWell-attested1950 1All Combinatorics and Graph TheoryFilter Results99 entriesBranchAllAlgebra (1)Coding Theory (2)Combinatorics (34)Computational Complexity Theory (1)Geometry (1)Graph Theory (47)Group Theory (1)Linear Algebra (3)Logic and Foundations (1)Number Theory (2)Set Theory (1)Topic AreaAllBinomial and Summation Identities (1)Combinatorial Matrix Theory (1)Combinatorics of Computing and Classification (2)Enumerative, Additive and Algebraic Combinatorics (22)Graph Theory (46)Ramsey Theory and Extremal Combinatorics (16)Tilings and Board Coverings (1)ProvedAll1736 (1)1847 (1)1860 (1)1877 (1)1878 (1)1890 (1)1891 (2)1897 (1)1907 (1)1916 (1)1922 (1)1927 (3)1928 (1)1930 (2)1931 (1)1935 (2)1936 (1)1937 (1)1939 (1)1940 (1)1941 (2)1946 (2)1948 (1)1949 (1)1950 (1)1952 (2)1954 (2)1955 (1)1956 (1)1957 (1)1958 (2)1959 (1)1960 (4)1961 (3)1964 (1)1965 (1)1966 (1)1968 (2)1969 (1)1970 (1)1971 (1)1972 (2)1973 (2)1974 (1)1975 (2)1978 (1)1979 (1)1982 (1)1988 (1)1989 (1)1990 (1)1994 (1)2002 (1)2004 (1)2016 (1)2019 (1)Proved ByAllAnton Kotzig (1)Arthur Cayley (1)Augustin-Louis Cauchy (1)Bartel Leendert van der Waerden (1)Bruno Courcelle (1)Claude Berge (2)Désiré André (1)Edgar Gilbert (1)Emanuel Grinberg (1)Emanuel Sperner (2)Endre Szemerédi (4)Ernst Steinitz (1)Ferdinand Georg Frobenius (1)Frank P. Ramsey (1)Garrett Birkhoff (1)George Pólya (1)Gerhard Ringel (1)Gustav Kirchhoff (1)Hao Huang (1)Henryk Minc (1)Herbert John Ryser (1)Herbert Robbins (1)Issai Schur (1)J. W. T. Youngs (1)Jeff Dinitz (1)Joachim Lambek (1)John Adrian Bondy (1)Joseph Kruskal (2)Julius Petersen (2)Karl Menger (1)Kazimierz Kuratowski (1)Klaus Wagner (2)Leo Moser (1)Leon Mirsky (1)Leonhard Euler (1)László Lovász (2)Michel Balinski (1)Neil Robertson (3)Nicolaas Govert de Bruijn (2)Niels Henrik Abel (1)Paul Erdos (8)Paul Seymour (3)Percy Alexander MacMahon (1)Percy John Heawood (1)Philip Hall (1)Pál Turán (1)R. Leonard Brooks (1)Richard Bruck (1)Robert P. Dilworth (1)Ronald Fisher (1)Vadim G. Vizing (1)W. T. Tutte (5)William Allen Whitworth (1)Zsolt Baranyai (1)Øystein Ore (1)Named AfterAllArthur Cayley (1)Edgar Gilbert (1)Niels Henrik Abel (1)Statement FormAllCharacterization (21)Equation (20)Existence Theorem (30)Identity (20)Impossibility Theorem (2)Inequality (29)Uniqueness Theorem (2)Proved By (Other Fields)AllGustav Kirchhoff (1)Show ResultsBrowseCompareSelect all 49Kirchhoff's Theorem (Matrix-Tree Theorem)Combinatorics and Graph TheoryKneser's Theorem (Combinatorics)Combinatorics and Graph TheoryKoenig's Theorem (Graph Theory)Combinatorics and Graph TheoryKotzig's TheoremCombinatorics and Graph TheoryKővári-Sos-Turán TheoremCombinatorics and Graph TheoryKruskal-Katona TheoremCombinatorics and Graph TheoryKruskal's Tree TheoremCombinatorics and Graph TheoryKuratowski's TheoremCombinatorics and Graph TheoryLambek-Moser TheoremCombinatorics and Graph TheoryLovasz Local LemmaCombinatorics and Graph TheoryMacMahon's Master TheoremCombinatorics and Graph TheoryMantel's TheoremCombinatorics and Graph TheoryMenger's TheoremCombinatorics and Graph TheoryMilliken's Tree TheoremCombinatorics and Graph TheoryMirsky's TheoremCombinatorics and Graph TheoryMultinomial TheoremCombinatorics and Graph TheoryMycielski's TheoremCombinatorics and Graph TheoryNash-Williams FormulaCombinatorics and Graph TheoryNicomachus's TheoremCombinatorics and Graph TheoryOre's TheoremCombinatorics and Graph TheoryPerfect Graph TheoremCombinatorics and Graph TheoryPetersen's TheoremCombinatorics and Graph TheoryPlanar Separator TheoremCombinatorics and Graph TheoryPolya Enumeration TheoremCombinatorics and Graph TheoryProbabilistic MethodCombinatorics and Graph TheoryRamsey's TheoremCombinatorics and Graph TheoryRingel-Youngs TheoremCombinatorics and Graph TheoryRobbins' TheoremCombinatorics and Graph TheoryRobertson-Seymour TheoremCombinatorics and Graph TheorySchnyder's TheoremCombinatorics and Graph TheorySchur's Theorem (Ramsey Theory)Combinatorics and Graph TheorySensitivity TheoremCombinatorics and Graph TheorySinkhorn's TheoremCombinatorics and Graph TheorySperner's LemmaCombinatorics and Graph TheorySperner's TheoremCombinatorics and Graph TheoryStanley's Reciprocity TheoremCombinatorics and Graph TheorySteinitz's Theorem (Convex Polytopes)Combinatorics and Graph TheoryStrong Perfect Graph TheoremCombinatorics and Graph TheorySunflower LemmaCombinatorics and Graph TheorySzemeredi Regularity LemmaCombinatorics and Graph TheoryTheorem on Friends and StrangersCombinatorics and Graph TheoryTuran's TheoremCombinatorics and Graph TheoryTutte Homotopy TheoremCombinatorics and Graph TheoryTutte-Berge FormulaCombinatorics and Graph TheoryTutte's Theorem (Graph Theory)Combinatorics and Graph TheoryUgly Duckling TheoremCombinatorics and Graph TheoryVan der Waerden's TheoremCombinatorics and Graph TheoryVizing's TheoremCombinatorics and Graph TheoryWagner's TheoremCombinatorics and Graph Theory← Previous12Sources1. Wikipedia: Combinatoricstier 2Wikimedia FoundationHistory sectionQuote, History sectionIn the later twentieth century, however, powerful and general theoretical methods were developed, making combinatorics into an independent branch of mathematics in its own right.View the SourceComments (0)No comments yet. Be the first to share a thought.Sign in to join the discussion.Reader Challenges (0)No disputes yet. Spotted an error or a better source? Open the first one.Sign in to dispute this or suggest a correction.