Solution to a combinatorial puzzle arising from Mayer's theory of cluster integrals.
Bernardi, Olivier (2007)
Séminaire Lotharingien de Combinatoire [electronic only]
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Bernardi, Olivier (2007)
Séminaire Lotharingien de Combinatoire [electronic only]
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Hofmeister, M. (1992)
Séminaire Lotharingien de Combinatoire [electronic only]
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Buchholz, Ralph H., De Launey, Warwick (2009)
The Electronic Journal of Combinatorics [electronic only]
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Datta, Basudeb (2005)
Beiträge zur Algebra und Geometrie
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Pioro, Konrad (2001)
Beiträge zur Algebra und Geometrie
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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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Soyoung Moon (2011)
Annales mathématiques Blaise Pascal
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We show that the amalgamated free products of two free groups over a cyclic subgroup admit amenable, faithful and transitive actions on infinite countable sets. This work generalizes the results on such actions for doubles of free group on two generators.
Dwight Duffus, Peter, L. Erdös, Jaroslav Nešetřil, Lajos Soukup (2007)
Commentationes Mathematicae Universitatis Carolinae
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Let and , respectively, denote the partially ordered sets of homomorphism classes of finite undirected and directed graphs, respectively, both ordered by the homomorphism relation. Order theoretic properties of both have been studied extensively, and have interesting connections to familiar graph properties and parameters. In particular, the notion of a duality is closely related to the idea of splitting a maximal antichain. We construct both splitting and non-splitting infinite maximal...
Jiménez, A., Kiwi, M., Loebl, M. (2010)
The Electronic Journal of Combinatorics [electronic only]
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