Results 11 to 20 of about 3,402 (148)
The $m$-Cover Posets and the Strip-Decomposition of $m$-Dyck Paths [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 In the first part of this article we present a realization of the $m$-Tamari lattice $\mathcal{T}_n^{(m)}$ in terms of $m$-tuples of Dyck paths of height $n$, equipped with componentwise rotation order. For that, we define the $m$-cover poset $\mathcal{P}
Myrto Kallipoliti, Henri Mühle
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The topology of the permutation pattern poset [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 The set of all permutations, ordered by pattern containment, forms a poset. This extended abstract presents the first explicit major results on the topology of intervals in this poset.
Peter McNamara, Einar Steingrımsson
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Arithmetical properties of double Möbius-Bernoulli numbers
Open Mathematics, 2019 Given positive integers n, n′ and k, we investigate the Möbius-Bernoulli numbers Mk(n), double Möbius-Bernoulli numbers Mk(n,n′), and Möbius-Bernoulli polynomials Mk(n)(x).
Bayad Abdelmejid, Kim Daeyeoul, Li Yan
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Factorization of the Characteristic Polynomial [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We introduce a new method for showing that the roots of the characteristic polynomial of a finite lattice are all nonnegative integers. Our method gives two simple conditions under which the characteristic polynomial factors.
Joshua Hallam, Bruce Sagan
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Some Results on Harmonic Type Sums
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2020 In this study, we consider the summatory function of convolutions of theMöbius function with harmonic numbers, and we show that these summatoryfunctions are linked to the distribution of prime numbers.
Haydar Göral, Doğa Can Sertbaş
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Asymptotic energy of connected cubic circulant graphs
AKCE International Journal of Graphs and Combinatorics, 2021 In this article, we compute the oblique asymptote of the energy function for all connected cubic circulant graphs. Moreover, we show that this oblique asymptote is an upper bound for the energies of two of the subclasses of Möbius ladder graphs and lower
Alper Bulut, Ilhan Hacioglu
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Heliyon, 2022 We obtain solutions of Schrödinger equation for the modified Mobius square plus Eckart (MMPSE) potential via the formula method. Numerical results are reported.
C.P. Onyenegecha +8 more
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Norm Estimates of the Pre-Schwarzian Derivatives for Functions with Conic-like Domains
Mathematics, 2023 The pre-Schwarzianand Schwarzian derivatives of analytic functions f are defined in U, where U is the open unit disk. The pre-Schwarzian as well as Schwarzian derivatives are popular tools for studying the geometric properties of analytic mappings. These
Sidra Zafar +3 more
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Divergent Synthesis of Möbius and Hückel N‐Heterocycloarenes From a Common Macrocyclic Backbone
Angewandte Chemie, EarlyView.In the divergent synthesis of Möbius and Hückel N‐heterocycloarenes from a common macrocyclic precursor, the annulation reaction dictates topology: Scholl reaction gives Möbius topology, while InCl3‐mediated alkyne annulation gives Hückel topology. The Möbius N‐heterocycloarene is unevenly contorted as revealed by crystal structure, and the Hückel N ...
Han Chen +6 more
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On the Images of Ellipses Under Similarities
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 We consider ellipses corresponding to any norm function on the complex plane and determine their images under the similarities which are special Möbius transformations.
Özgür Nihal Yilmaz
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