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

open access: yesJournal of Function Spaces, 2021
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
doaj   +1 more source

The extremal graphs with respect to their nullity

open access: yesJournal of Inequalities and Applications, 2016
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
doaj   +1 more source

Bicyclic graphs with maximum sum of the two largest Laplacian eigenvalues

open access: yesJournal of Inequalities and Applications, 2016
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
doaj   +1 more source

Independent resolving sets in graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2021
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
doaj   +1 more source

Lagrange Dual Method for Sparsity Constrained Optimization

open access: yesIEEE Access, 2018
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
doaj   +1 more source

Unified Contamination-Aware Routing Method Considering Realistic Washing Capacity Constraint in Digital Microfluidic Biochips

open access: yesIEEE Access, 2020
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
doaj   +1 more source

A hierarchy of maximal intersecting triple systems [PDF]

open access: yesOpuscula Mathematica, 2017
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
doaj   +1 more source

Equivalence of K-functionals and modulus of smoothness generated by a Dunkl type operator on the interval $(-1, 1)$

open access: yesComptes Rendus. Mathématique, 2023
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
doaj   +1 more source

Discrete mathematics

open access: yes, 2020
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
  +6 more sources

On Generalized Jacobsthal and Jacobsthal–Lucas Numbers

open access: yesAnnales Mathematicae Silesianae, 2022
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
doaj   +1 more source

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