Results 11 to 20 of about 42,595 (245)
Generalized Hausdorff Operators on K̇α,qβ,pℝ and HK̇α,qβ,p,Nℝ in the Dunkl Settings
In the present paper, we obtain some new results, and we generalize some known results for the Hausdorff operators. We have studied the generalized Hausdorff operators Hα,φ on the Dunkl-type homogeneous weighted Herz spaces K̇α,qβ,pℝ and Dunkl Herz-type ...
Faouaz Saadi, Othman Tyr, Radouan Daher
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The extremal graphs with respect to their nullity
The nullity of a graph G, denoted by η ( G ) $\eta(G)$ , is the multiplicity of the eigenvalue zero of its adjacency matrix. In this paper, we determine all graphs with η ( G ) = n ( G ) − 2 m ( G ) − c ( G ) $\eta(G)=n(G) - 2m(G) -c(G)$ , where c ( G ) =
Sa Rula, An Chang, Yirong Zheng
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Bicyclic graphs with maximum sum of the two largest Laplacian eigenvalues
Let G be a simple connected graph and S 2 ( G ) $S_{2}(G)$ be the sum of the two largest Laplacian eigenvalues of G. In this paper, we determine the bicyclic graph with maximum S 2 ( G ) $S_{2}(G)$ among all bicyclic graphs of order n, which confirms the
Yirong Zheng +3 more
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Independent resolving sets in graphs
Let be a connected graph. Let be a subset of V with an order imposed on W. The k-vector is called the resolving vector of v with respect to W. The set W is called a resolving set if for any two distinct vertices In this paper we investigate the existence
B. Suganya, S. Arumugam
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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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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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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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The textbook is written on the basis of a course of lectures on discrete mathematics given to students of the faculty of computational mathematics and Cybernetics of the Lomonosov Moscow state University. It includes an introduction to such sections of discrete mathematics as Boolean functions, k-valued functions, graphs, codes, automata, and the ...
Brini, Andrea, Teolis, Antonio
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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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