Results 61 to 70 of about 3,063 (228)
Theoretical Computer Science, 2017 Indecomposable permutations in S n + 1 , subgroups of index n of the free group on two generators and doubly pointed hypermaps of cardinality n are equinumerous. We give here a proof of a bijection, due to Sillke, between these three sets.
Robert Cori, Christophe Reutenauer
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On the section conjecture over fields of finite type
Mathematische Nachrichten, EarlyView.Abstract Assume that the section conjecture holds over number fields. We prove then that it holds for a broad class of curves defined over finitely generated extensions of Q$\mathbb {Q}$. This class contains every projective, hyperelliptic curve, every hyperbolic, affine curve of genus ≤2$\le 2$, and a basis of open subsets of any curve.
Giulio Bresciani
wiley +1 more source
A bijection between shrubs and series-parallel posets [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 Motivated by the theory of operads, we introduce new combinatorial objects, called shrubs, that generalize forests of rooted trees. We show that the species of shrubs is isomorphic to the species of series-parallel posets.
Frédéric Chapoton
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Bijections for Entringer families
European Journal of Combinatorics, 2011 19 ...
Gelineau, Yoann +2 more
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Relational Bundle Geometric Formulation of Non‐Relativistic Quantum Mechanics
Fortschritte der Physik, EarlyView.Abstract A bundle geometric formulation of non‐relativistic many‐particles Quantum Mechanics is presented. A wave function is seen to be a C$\mathbb {C}$‐valued cocyclic tensorial 0‐form on configuration space‐time seen as a principal bundle, while the Schrödinger equation flows from its covariant derivative, with the action functional supplying a ...
J. T. François, L. Ravera
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Acta Crystallographica Section A, EarlyView.We describe an efficient algorithm to compute the bridge length estimating the size of a complete isoset invariant, which classifies all periodic point sets under Euclidean motion.The fundamental model of any periodic crystal is a periodic set of points at all atomic centres.
Jonathan McManus, Vitaliy Kurlin
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A Bijection for Enriched Trees
European Journal of Combinatorics, 1994 The author establishes a bijection involving species of enriched trees that leads to a combinatorial proof of Lagrange's inversion formula.
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Topology and its Applications, 1997 AbstractWe study the structure of spaces admitting a continuous bijection to the space of all countable ordinals with its usual order topology. We relate regularity, zero-dimensionality and pseudonormality. We examine the effect of covering properties and ω1-compactness and show that locally compact examples have a particularly nice structure assuming ...
Chris Good, Chris Good
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International Transactions in Operational Research, EarlyView.Abstract In the last decade, explainability has been attracting much attention in the machine learning community. However, this research topic extends beyond this field to encompass others such as operations research and combinatorial optimization (CO).
Mathieu Lerouge +3 more
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Bijections for partition identities
Journal of Combinatorial Theory, Series A, 1988 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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