Graph minors and minimum degree.
Fijavž, Gašper, Wood, David R. (2010)
The Electronic Journal of Combinatorics [electronic only]
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Fijavž, Gašper, Wood, David R. (2010)
The Electronic Journal of Combinatorics [electronic only]
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Montágh, Balázs (2009)
Acta Universitatis Sapientiae. Mathematica
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Bentz, Cedric, Costa, Marie-Christine, Picouleau, Christophe, Ries, Bernard, De Werra, Dominique (2009)
Journal of Graph Algorithms and Applications
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Cabello, Sergio, Lukšič, Primož (2011)
The Electronic Journal of Combinatorics [electronic only]
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Martin Mareš (2004)
Archivum Mathematicum
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This article presents two simple deterministic algorithms for finding the Minimum Spanning Tree in time for any non-trivial class of graphs closed on graph minors. This applies in particular to planar graphs and graphs of bounded genus. Both algorithms run on a pointer machine and they require no a priori knowledge of the structure of the class except for its density. Edge weights are only compared.
Kouider, Mekkia, Vestergaard, Preben Dahl (2006)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Pedersen, Anders Sune (2011)
The Electronic Journal of Combinatorics [electronic only]
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Riskin, Adrian (2007)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Hetyei, Gábor (2001)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Jessica Enright, Piotr Rudnicki (2008)
Formalized Mathematics
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We prove, following [5, p. 92], that any family of subtrees of a finite tree satisfies the Helly property.MML identifier: HELLY, version: 7.8.09 4.97.1001