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math.CO2009★ 1 cited
Toughness and Vertex Degrees
D. Bauer, H. J. Broersma, J. van den Heuvel +2
We study theorems giving sufficient conditions on the vertex degrees of a graph to guarantee is -tough. We first give a best monotone theorem when , but then show…
math.CO2009
Degree Sequences and the Existence of -Factors
D. Bauer, H. J. Broersma, J. van den Heuvel +2
We consider sufficient conditions for a degree sequence to be forcibly -factor graphical. We note that previous work on degrees and factors has focused primarily on finding…