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The purpose of the present work is to provide short and supple teaching notes for a $30$ hours introductory course on elementary \textit{Enumerative Algebraic Combinatorics}. We fully adopt the \textit{Rota way}. The themes are organized into a suitable sequence that allows us to derive any result from the preceding ones by elementary processes ...
Brini, Andrea, Teolis, Antonio
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Lagrange Dual Method for Sparsity Constrained Optimization
In this paper, we investigate the l0 quasi-norm constrained optimization problem in the Lagrange dual framework and show that the strong duality property holds.
Wenxing Zhu +3 more
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To fully utilize the dynamic reconfigurability of digital microfluidic biochips, most of electrodes would be shared by different droplets. Thus, contaminations caused by liquid residues among droplets are inevitable which lead to lethal errors in ...
Zhipeng Huang +4 more
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Our aim in this paper is to show that the modulus of smoothness and the $K$-functionals constructed from the Sobolev-type space corresponding to the Dunkl operator are equivalent on the interval $(-1,1)$.
Saadi, Faouaz, Daher, Radouan
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Teaching of Discrete Mathematics [PDF]
This paper presents an alternative methodology of development for the discipline of Discrete Mathematics offered to courses in the area of computation. It explores the availability of new teaching tools and programming languages. This way, we try to stimulate and provide students with an environment in which they can reach better results in order that ...
Simone C. Mendes +2 more
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A hierarchy of maximal intersecting triple systems [PDF]
We reach beyond the celebrated theorems of Erdȍs-Ko-Rado and Hilton-Milner, and a recent theorem of Han-Kohayakawa, and determine all maximal intersecting triples systems.
Joanna Polcyn, Andrzej Ruciński
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On Generalized Jacobsthal and Jacobsthal–Lucas Numbers
Jacobsthal numbers and Jacobsthal–Lucas numbers are some of the most studied special integer sequences related to the Fibonacci numbers. In this study, we introduce one parameter generalizations of Jacobsthal numbers and Jacobsthal–Lucas numbers.
Bród Dorota, Michalski Adrian
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Fifth Russian Finnish Symposium on Discrete Mathematics
Every topological space has a Kolmogorov quotient that is obtained by identifying points if they are contained in exactly the same open sets. In this survey, we look at the relationship between topological spaces and their Kolmogorov quotients.
Pirttimäki T
core +1 more source
Bipartite Random Graphs and Cuckoo Hashing [PDF]
The aim of this paper is to extend the analysis of Cuckoo Hashing of Devroye and Morin in 2003. In particular we make several asymptotic results much more precise.
Reinhard Kutzelnigg
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Proximity Effect Aware Detailed Placement in Electron Beam Lithography
Proximity effect is one of the most tremendous consequences that produces unacceptable exposures during electron beam lithography (EBL), and thus distorting the layout pattern. In this paper, we propose the first work which considers the proximity effect
Chen Yuhang +4 more
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