Abstract.
Let G be a graph, and g, f, f′ be positive integer-valued functions defined on V(G). If an f′-factor of G is a spanning tree, we say that it is f′-tree. In this paper, it is shown that G contains a connected (g, f+f′−1)-factor if G has a (g, f)-factor and an f′-tree.
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Received: October 30, 2000 Final version received: August 20, 2002
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Tokuda, T., Xu, B. & Wang, J. Connected Factors and Spanning Trees in Graphs. Graphs and Combinatorics 19, 259–262 (2003). https://doi.org/10.1007/s00373-002-0497-5
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DOI: https://doi.org/10.1007/s00373-002-0497-5