A Simple Proof of the Perfect Matching Theorem
Mathematica slovaca, Tome 25 (1975) no. 2, pp. 185-188
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 05C99
@article{MASLO_1975_25_2_a12,
     author = {Plesn{\'\i}k, J\'an},
     title = {A {Simple} {Proof} of the {Perfect} {Matching} {Theorem}},
     journal = {Mathematica slovaca},
     pages = {185--188},
     year = {1975},
     volume = {25},
     number = {2},
     mrnumber = {0392699},
     zbl = {0436.05054},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1975_25_2_a12/}
}
TY  - JOUR
AU  - Plesník, Ján
TI  - A Simple Proof of the Perfect Matching Theorem
JO  - Mathematica slovaca
PY  - 1975
SP  - 185
EP  - 188
VL  - 25
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MASLO_1975_25_2_a12/
LA  - en
ID  - MASLO_1975_25_2_a12
ER  - 
%0 Journal Article
%A Plesník, Ján
%T A Simple Proof of the Perfect Matching Theorem
%J Mathematica slovaca
%D 1975
%P 185-188
%V 25
%N 2
%U http://geodesic.mathdoc.fr/item/MASLO_1975_25_2_a12/
%G en
%F MASLO_1975_25_2_a12
Plesník, Ján. A Simple Proof of the Perfect Matching Theorem. Mathematica slovaca, Tome 25 (1975) no. 2, pp. 185-188. http://geodesic.mathdoc.fr/item/MASLO_1975_25_2_a12/

[1] ANDERSON I.: Perfect matchings of a graph. J. Comb. Theory (B) 10, 1971, 183-186. | MR | Zbl

[2] BALINSKI M. L.: On perfect matchings. SIAM Rev. 12, 1970, 570-572. | MR | Zbl

[3] BELCK H. B.: Reguläre Faktoren von Graphen. J. Reine Angew. Math. 188, 1950, 228-252. | MR | Zbl

[4] BERGE, C: Sur le couplage maximum d'un graphe. C. R. Acad. Sciences 247, 1958, 258-259. | MR | Zbl

[5] GALLAI T.: On factorisation of graphs. Acta Math. Acad. Sci. Hung. 1, 1950, 133-153. | MR | Zbl

[6] GALLAI T.: Neuer Beweis eines Tutte-schen Satzes. Magyar Tud. Akad. Matem. Kut. Int. Közl. 8, 1963, 135-139. | MR

[7] GALLAI T.: Maximale Systeme unabhängiger Kanten. Magyar Tud. Akad. Matem. Kut. Int. Közl. 9, 1964, 401-413. | MR | Zbl

[8] HALL P.: On representatives of subsets. J. London Math. Soc. 10, 1935, 26-30. | Zbl

[9] HALTON J.: A combinatorial proof of a theorem of Tutte. Proc. Cambridge Phil. Soc. 62, 1966, 683-684. | MR | Zbl

[10] HARARY F.: Graph theory. Addison-Wesley. Reading, Mass., 1969. | MR | Zbl

[11] JUNG H. A.: Maximal-$\Gamma$-prime Graphen. Math. Ann. 153, 1964, 210-226. | MR | Zbl

[12] KÖNIG D.: Graphen und Matritzen. Mat. Fiz. Lapok 38, 1931, 116-119.

[13] LOVÁSZ L.: Subgraphs with prescribed valencies. J. Comb. Theory 8, 1970, 391-416. | MR | Zbl

[14] LOVÁSZ L.: Generalized factors of graphs. Comb. Theory Appl. Colloquia Math. Soc. János Bolyai 4, 1970, 773-781. | MR | Zbl

[15] MAUNSELL F. G.: A note on Tutte's paper. J. London Math. Soc. 27, 1952, 127-128. | MR | Zbl

[16] ORE O.: Graphs and matching theorems. Duke Math. J. 22, 1955, 625-639. | MR | Zbl

[17] ORE O.: Graphs and subgraphs. Trans. Amer. Math. Soc. 84, 1957, 109-136 and 93, 1959, 185-204. | MR | Zbl

[18] TUTTE W. T.: The factorization of linear graphs. J. London Math. Soc. 22, 1947, 107-111 | MR | Zbl

[19] TUTTE W. T.: The factors of graphs. Canad. J. Math. 4, 1952, 314-328. | MR | Zbl

[20] TUTTE W. T.: A short proof of the factor theorem for finite graphs. Canad. J. Math. 6, 1954, 347-352. | MR | Zbl

[21] WAGNER K.: Faktorklassen in Graphen. Math. Ann. 141, 1960, 49-67. | MR | Zbl