Free dendriform algebras. I: A parenthesis setting.
Leroux, Philippe (2006)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Inversion of integral series enumerating planar trees.”
Free dendriform algebras. I: A parenthesis setting.
Hook length formulas for trees by Han's expansion.
Chen, William Y.C., Gao, Oliver X.Q., Guo, Peter L. (2009)
The Electronic Journal of Combinatorics [electronic only]
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A simple symmetry generating operads related to rooted planar -ary trees and polygonal numbers.
Leroux, Philippe (2007)
Journal of Integer Sequences [electronic only]
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On Catalan trees and the Jacobian conjecture.
Singer, Dan (2001)
The Electronic Journal of Combinatorics [electronic only]
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A combinatorial proof of Postnikov's identity and a generalized enumeration of labeled trees.
Seo, Seunghyun (2005)
The Electronic Journal of Combinatorics [electronic only]
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Combinatorial interpretation of generalized Stirling numbers.
Lang, Wolfdieter (2009)
Journal of Integer Sequences [electronic only]
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A simple bijection between binary trees and colored ternary trees.
Sun, Yidong (2010)
The Electronic Journal of Combinatorics [electronic only]
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Analysis of some statistics for increasing tree families.
Panholzer, Alois, Prodinger, Helmut (2004)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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A combinatorial derivation of the number of labeled forests.
Callan, David (2003)
Journal of Integer Sequences [electronic only]
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Bijective proofs of identities from colored binary trees.
Yan, Sherry H.F. (2008)
The Electronic Journal of Combinatorics [electronic only]
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Sets with two associative operations
Teimuraz Pirashvili (2003)
Open Mathematics
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In this paper we consider duplexes, which are sets with two associative binary operations. Dimonoids in the sense of Loday are examples of duplexes. The set of all permutations carries a structure of a duplex. Our main result asserts that it is a free duplex with an explicitly described set of generators. The proof uses a construction of the free duplex with one generator by planary trees.
Almost all trees have an even number of independent sets.
Wagner, Stephan G. (2009)
The Electronic Journal of Combinatorics [electronic only]
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On the rules for the elimination of the non-canonical Morgan trees
Damir Vukičević (2009)
Kragujevac Journal of Mathematics
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