Two New Classes of Codebooks Asymptotically Achieving the Welch Bound by Shimin Sun, Li Han, Yang Yan, Yao Yao

“…Exponential sums over Galois rings have many applications in coding theory, cryptography and algebraic combinatorics. In this article, we employ additive characters and multiplicative characters over Galois rings to present two classes of codebooks, and prove that these codebooks asymptotically achieve the Welch bound. …”
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Multicenter Wiener indices and their applications by Gutman Ivan, Furtula Boris, Li Xueliang

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OPTIMAL IDENTIFICATION OF RANDOM EVENTS by Boris N. Chugaev, Alexander Y. Arzhenenko

“…Theory questionnaires - a branch of mathematics that arose at the turn of mathematical statistics, combinatorics, graph theory and information theory. Its founder K.F.Pikar developed this theory as a description of the device logical relationships of tasks and methods of their solutions and the conditions under which these decisions are made. …”
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Complexity in Animal Communication: Estimating the Size of N-Gram Structures by Reginald Smith

“…In this paper, new techniques that allow conditional entropy to estimate the combinatorics of symbols are applied to animal communication studies to estimate the communication’s repertoire size. …”
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A bound for Dickson's lemma by Josef Berger, Helmut Schwichtenberg

“…By a combinatorial argument (due to the first author) a simple bound for such $i,j$ is constructed. The combinatorics is based on the finite pigeon hole principle and results in a descent lemma. …”
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A direct computation of a certain family of integrals by Lorenzo Fornari, Enrico Laeng, Vittorino Pata

“…Design/methodology/approach – Combinatorics, sine and cosine integral functions. Findings – The authors prove an explicit formula to evaluate sinc-type integrals. …”
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Non-adaptive Group Testing on Graphs by Hamid Kameli

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Graph dominance by rook domains for Znp and Zn3 × Zm2 graphs by Eduardo Piza Volio

“…Keywords: Graph domination, simulated annealing, football pool problem, combinatorics.…”
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Frequency-Hopping Sequences With Optimal Average Hamming Correlation and Their Applications in Energy and Spectrum Harvesting Technologies Area by Mingyue Fan

“…The research of cyclotomy theory can be traced to Gauss and it has been applied to many fields such as cryptography, coding theory, and combinatorics. According to <inline-formula> <tex-math notation="LaTeX">$v$ </tex-math></inline-formula> prime numbers or compound words, the incision on the residue-like ring <inline-formula> <tex-math notation="LaTeX">${\mathbb Z}_{v}$ </tex-math></inline-formula> can be separated to classic incision or general incision. …”
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Witness structures and immediate snapshot complexes by Dmitry N. Kozlov

“…These objects are indexing the simplices in the immediate snapshot complexes, while a special operation on them, called ghosting, describes the combinatorics of taking simplicial boundary. In general, we develop the theory of witness structures and use it to prove several combinatorial as well as topological properties of the immediate snapshot complexes.…”
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Problems for combinatorial numbers satisfying a class of triangular arrays by Igoris Belovas

“…In this work, we derive the general analytic expression of the numbers satisfying a class of triangular arrays and propose problems (both teaching and unsolved ones) for undergraduates studying probability theory and analytical combinatorics subjects in the study programs of the fields of mathematics and computer science. …”
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From the Earth to the World. Ai Weiwei's Functional Dante Reference in the Music Album <i>The Divine Comedy</i> (2013) and in the Lego Portrait <i>Dante Alighieri in LEGO</i> (2016... by Daniel Brandlechner

“…The article demonstrates, how mediality becomes evident through two operators: seriality and combinatorics. By placing the artist on one of the two sides of mediation, this article implicitly reverses the role long reserved for Ai Weiwei: that of the cultural mediator.…”
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Ricci Curvature on Polyhedral Surfaces via Optimal Transportation by Benoît Loisel, Pascal Romon

“…Lin, Lu and Yau and Jost and Liu have used and extended this notion for graphs, giving estimates for the curvature and, hence, the diameter, in terms of the combinatorics. In this paper, we describe a method for computing the coarse Ricci curvature and give sharper results, in the specific, but crucial case of polyhedral surfaces.…”
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Lorentzian Lattices and E-Polytopes by Adrian Clingher, Jae-Hyouk Lee

“…We also discuss the relation between these special vectors and the combinatorics of the Gosset polytopes of type ( n &minus; 4 ) 21 .…”
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Some identities on degenerate poly-Euler polynomials arising from degenerate polylogarithm functions by Lingling Luo, Yuankui Ma, Taekyun Kim, Hongze Li

“…This focus stems from their nascent importance for applications in combinatorics, number theory and in other aspects of applied mathematics. …”
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On the connectedness and diameter of a geometric Johnson graph by Crevel Bautista-Santiago, Javier Cano, Ruy Fabila-Monroy, David Flores-Peñaloza, Hernàn González-Aguilar, Dolores Lara, Eliseo Sarmiento, Jorge Urrutia

“…Combinatorics…”
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Permutation Polytopes of Cyclic Groups by Barbara Baumeister, Christian Haase, Benjamin Nill, Andreas Paffenholz

“…We investigate the combinatorics and geometry of permutation polytopes associated to cyclic permutation groups, i.e., the convex hulls of cyclic groups of permutation matrices. …”
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Statistics for 3-letter patterns with repetitions in compositions by Armend Shabani, Rexhep Gjergji

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Economic modeling of innovation ecosystems by Popov Evgeny, Simonova Victoria, Chelak Igor

“…A hierarchy of models of innovative ecosystems is proposed for scientific and practical analysis of the phenomenon under consideration and for developing recommendations for the formation of necessary conditions for the development of ecosystem relations. The combinatorics of environmental factors and internal structure allows us to construct a significant set of ecosystem models.…”
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Determinants concerning Legendre symbols by Wu, Hai-Liang

“…The evaluations of determinants with Legendre symbol entries have close relation with combinatorics and character sums over finite fields. …”
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