Geodesic
Even [a,b]-factors in graphs
Discussiones Mathematicae. Graph Theory, Tome 24 (2004) no. 3, pp. 431-441

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Let a and b be integers 4 ≤ a ≤ b. We give simple, sufficient conditions for graphs to contain an even [a,b]-factor. The conditions are on the order and on the minimum degree, or on the edge-connectivity of the graph.
Keywords: even factor, eulerian, spanning subgraph 
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Kouider, Mekkia; Vestergaard, Preben. Even [a,b]-factors in graphs. Discussiones Mathematicae. Graph Theory, Tome 24 (2004) no. 3, pp. 431-441. http://geodesic.mathdoc.fr/item/DMGT_2004_24_3_a6/