Results 21 to 30 of about 4,335,157 (373)

Near-Optimal Algorithms for Shortest Paths in Weighted Unit-Disk Graphs [PDF]

open access: yesDiscrete & Computational Geometry, 2019
We revisit a classical graph-theoretic problem, the single-source shortest-path (SSSP) problem, in weighted unit-disk graphs. We first propose an exact (and deterministic) algorithm which solves the problem in O(nlog2n)\documentclass[12pt]{minimal ...
Haitao Wang, J. Xue
semanticscholar   +1 more source

The innermost astronomical units of protoplanetary disks [PDF]

open access: greenSPIE Proceedings, 2016
SPIE Astronomical Telescopes + Instrumentation 2016 in Edinburgh, Scotland, 8 pages, 2 ...
J. Kluska, R. García López, M. Benisty
openalex   +3 more sources

Geometric process solving a class of analytic functions using q-convolution differential operator

open access: yesJournal of Taibah University for Science, 2020
In current realization, our object is to use the convolution product in terms of the notion quantum calculus to deliver a propagated q-derivative factor taking a more generalized Sàlàgean formula. By joining both the new factor together with the Janowski
Rabha W. Ibrahim
doaj   +1 more source

Liar's domination in unit disk graphs [PDF]

open access: yesTheoretical Computer Science, 2020
In this article, we study a variant of the minimum dominating set problem known as the minimum liar's dominating set (MLDS) problem. We prove that the MLDS problem is NP-hard in unit disk graphs. Next, we show that the recent sub-quadratic time $\frac{11}{2}$-factor approximation algorithm \cite{bhore} for the MLDS problem is erroneous and propose a ...
Ramesh K. Jallu   +2 more
openaire   +3 more sources

On Riesz type inequalities for harmonic mappings on the unit disk [PDF]

open access: yesTransactions of the American Mathematical Society, 2017
We prove some sharp inequalities for complex harmonic functions on the unit disk. The results extend a M. Riesz conjugate function theorem and some well-known estimates for holomorphic functions.
D. Kalaj
semanticscholar   +1 more source

Analytic Study of Complex Fractional Tsallis’ Entropy with Applications in CNNs

open access: yesEntropy, 2018
In this paper, we study Tsallis’ fractional entropy (TFE) in a complex domain by applying the definition of the complex probability functions. We study the upper and lower bounds of TFE based on some special functions.
Rabha W. Ibrahim, Maslina Darus
doaj   +1 more source

QPTAS and Subexponential Algorithm for Maximum Clique on Disk Graphs [PDF]

open access: yes, 2018
A (unit) disk graph is the intersection graph of closed (unit) disks in the plane. Almost three decades ago, an elegant polynomial-time algorithm was found for Maximum Clique on unit disk graphs [Clark, Colbourn, Johnson; Discrete Mathematics '90]. Since
Bonnet, E.   +4 more
core   +6 more sources

On higher derivatives of multivalent analytic functions with negative coefficients associated with (𝑟, 𝑞) - Calculus [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة
In this paper, we review established concepts and fundamental results of (𝑟, 𝑞) Calculus. Throughout this paper, let 𝑟, 𝑞 be constants with 0 < 𝑞 < 𝑟 ≤ 1.
Noora Kamil, Kassim Jassim
doaj   +1 more source

Finding, Hitting and Packing Cycles in Subexponential Time on Unit Disk Graphs [PDF]

open access: yesDiscrete & Computational Geometry, 2017
We give algorithms with running time 2O(klogk)·nO(1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
F. Fomin   +4 more
semanticscholar   +1 more source

Composition-Differentiation Operator on the Bergman Space

open access: yesPan-American Journal of Mathematics, 2023
We investigate the properties of composition-differentiation operator Dψ on the Bergman space of the unit disk L2a(D). Specifically, we characterize the properties of the reproducing kernel for the derivatives of the Bergman space functions. Moreover, we
K. O. Aloo, J. O. Bonyo, I. Okello
doaj   +1 more source

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