Lovász, László On the structure of factorizable graphs. (English) Zbl 0247.05156 Acta Math. Acad. Sci. Hung. 23, 179-195 (1972). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 51 Documents MSC: 05C99 Graph theory 05C35 Extremal problems in graph theory 05C30 Enumeration in graph theory PDFBibTeX XMLCite \textit{L. Lovász}, Acta Math. Acad. Sci. Hung. 23, 179--195 (1972; Zbl 0247.05156) Full Text: DOI References: [1] L. W. Beineke andM. D. Plummer, On the 1-factors of a non-separable graph,J. Comb. Theory,2 (1967), pp. 285–289. · Zbl 0149.41402 · doi:10.1016/S0021-9800(67)80029-2 [2] C. Berge, Sur le couplage maximum d’un graphe,C. R. Acad. Sciences,247 (1958), pp. 258–259. · Zbl 0086.16301 [3] J. Edmonds, Paths, trees and flowers,Can. J. Math.,17 (1965), pp. 449–467. · Zbl 0132.20903 · doi:10.4153/CJM-1965-045-4 [4] T. Gallai, Maximale Systeme unabhängiger Kanten,Mat. Kut. Int. Közl.,9 (1964), pp. 373–395. [5] M. Hall, Distinct representatives of subsets,Bull. Amer. Math. Soc.,54 (1948), pp. 922–926. · Zbl 0032.27101 · doi:10.1090/S0002-9904-1948-09098-X [6] A. Hajnal andVera T., Sós, Problem,Combinatorial Theory and its Applications (Budapest, 1970), pp. 1163–1164. [7] G. Hetyei, 2{\(\times\)}1-es téglalapokkal lefedheto idomokról,Pécsi Tanárképzo Foisk. Tud. Közl., (1964), pp. 351–368 (Hungarian). [8] A. Kotzig, Ein Beitrag zur Theorie der endlichen Graphen mit linearen Faktoren I, II, III,Mat. Fyz. Casopis,9 (1959), pp. 73–91, 136–159, and10 (1960), pp. 205–215 (in Slovak, with a German summary). · Zbl 0092.15901 [9] L. Lovász, Subgraphs with prescribed valencies,J. Comb. Theory,8 (1970), pp. 391–416. · Zbl 0198.29201 · doi:10.1016/S0021-9800(70)80033-3 [10] L. Lovász, On the structure of critical graphs, to appear inStudia Sci. Math. Hung. [11] W. T. Tutte, The factorization of linear graphs,J. London Math. Soc.,22 (1947), pp. 107–111. · Zbl 0029.23301 · doi:10.1112/jlms/s1-22.2.107 [12] J. Zaks, On the 1-factors ofn-connected graphs,Combinatorial Structures and Their Applications, (New York-London-Paris, 1970), pp. 481–488. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.