On regular factors in regular graphs with small radius.
Hoffmann, Arne, Volkmann, Lutz (2004)
The Electronic Journal of Combinatorics [electronic only]
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Hoffmann, Arne, Volkmann, Lutz (2004)
The Electronic Journal of Combinatorics [electronic only]
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Kirkland, Steve (2009)
The Electronic Journal of Combinatorics [electronic only]
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Richard M. Davitt, John Frederick Fink, Michael S. Jacobson (1985)
Mathematica Slovaca
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Shirazi, Hamed, Verstraëte, Jacques (2008)
The Electronic Journal of Combinatorics [electronic only]
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Chen, Guantao, Faudree, Ralph J., Gould, Ronald J. (2008)
The Electronic Journal of Combinatorics [electronic only]
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Clark, W.Edwin, Dunning, Larry A. (1997)
The Electronic Journal of Combinatorics [electronic only]
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Cioabă, Sebastian M. (2007)
The Electronic Journal of Combinatorics [electronic only]
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Flaxman, Abraham D., Hoory, Shlomo (2007)
The Electronic Journal of Combinatorics [electronic only]
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Csaba, Béla (2007)
The Electronic Journal of Combinatorics [electronic only]
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Dingguo Wang, Erfang Shan (2014)
Discussiones Mathematicae Graph Theory
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A cut-vertex in a graph G is a vertex whose removal increases the number of connected components of G. An end-block of G is a block with a single cut-vertex. In this paper we establish upper bounds on the numbers of end-blocks and cut-vertices in a 4-regular graph G and claw-free 4-regular graphs. We characterize the extremal graphs achieving these bounds.