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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Kano, M., Yu, Qinglin (2005)
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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Polcyn, Joanna (2008)
The Electronic Journal of Combinatorics [electronic only]
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Plantholt, Michael, Tipnis, Shailesh K. (2001)
The Electronic Journal of Combinatorics [electronic only]
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Ján Plesník (1974)
Czechoslovak Mathematical Journal
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Vladimír Vetchý (1991)
Archivum Mathematicum
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Lorenzo Traldi (2016)
Discussiones Mathematicae Graph Theory
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We show that every 3-regular circle graph has at least two pairs of twin vertices; consequently no such graph is prime with respect to the split decomposition. We also deduce that up to isomorphism, K4 and K3,3 are the only 3-connected, 3-regular circle graphs.
Sriraman Sridharan (2008)
RAIRO - Operations Research
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We design a polynomial time algorithm for finding a -1)- regular subgraph in a -regular graph without any induced star (claw-free). A polynomial time algorithm for finding a cubic subgraph in a 4-regular locally connected graph is also given. A family of -regular graphs with an induced star (, not containing any (-1)-regular subgraph is also constructed.