Steffens, K. Faktoren in unendlichen Graphen. (Factors in infinite graphs). (German) Zbl 0579.05042 Jahresber. Dtsch. Math.-Ver. 87, 127-137 (1985). The author surveys several results that deal with 1-factors in infinite graphs. In particular, extensions of Tutte’s characterization of (finite) graphs with perfect matchings to infinite graphs are discussed. This is also done with P. Hall’s characterization of (finite) bipartite graphs with perfect matchings. The author provides an extensive bibliography on this subject. Reviewer: O.R.Oellermann Cited in 1 Document MSC: 05C70 Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) Keywords:1-factors; infinite graphs; perfect matchings × Cite Format Result Cite Review PDF