Results 11 to 20 of about 4,335,157 (373)

Routing in Unit Disk Graphs [PDF]

open access: yesAlgorithmica, 2015
Let S⊂R2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S \subset ...
Haim Kaplan   +3 more
semanticscholar   +5 more sources

Improper colouring of (random) unit disk graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2005
For any graph $G$, the $k$-improper chromatic number $χ ^k(G)$ is the smallest number of colours used in a colouring of $G$ such that each colour class induces a subgraph of maximum degree $k$.
Ross J. Kang   +2 more
doaj   +9 more sources

Unit disk graphs

open access: yesDiscrete Mathematics, 1991
Any given \(n\) points in the plane form the vertices of some graph by the convention that distinct points are adjacent whenever their distance is at most 2. The resulting graph is called a unit disk graph, since it is the intersection graph of the unit disks around the given \(n\) points.
Brent N. Clark   +2 more
semanticscholar   +2 more sources

Kinetic Connectivity for Unit Disks [PDF]

open access: bronzeDiscrete & Computational Geometry, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leonidas Guibas   +3 more
openalex   +4 more sources

Bourgain algebras on the unit disk [PDF]

open access: bronzePacific Journal of Mathematics, 1993
The Bourgain algebra of H∞(D) relative to L∞(D) is shown to be H∞(D)+ C(D)+ V, where V is an ideal of functions in L∞(D) which vanish in an appropriate sense near the boundary of D.
Joseph A. Cima   +2 more
openalex   +3 more sources

Univalence Criteria for some General Integral Operators

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
The main object of this paper is to extend the univalent condition for two general integral operators. A number of known univalent condition would follow upon specializing the parameters involved in our main results.
Bărbatu Camelia, Breaz Daniel
doaj   +1 more source

A Class of Quantum Briot–Bouquet Differential Equations with Complex Coefficients

open access: yesMathematics, 2020
Quantum inequalities (QI) are local restraints on the magnitude and range of formulas. Quantum inequalities have been established to have a different range of applications. In this paper, we aim to introduce a study of QI in a complex domain.
Rabha W. Ibrahim   +2 more
doaj   +1 more source

On Some New Results in Large Area Nevanlinna Spaces in the Unit Disk

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2023
The study of various infinite products in various spaces of analytic functions in the unit disk is a well known and well studied problem of complex function theory in the unit disk.
Shamoyan, R., Mihi´c, O.
doaj   +1 more source

Some generalizations for the Schwarz-Pick lemma and boundary Schwarz lemma

open access: yesAIMS Mathematics, 2023
In this paper, we first obtain a Schwarz-Pick type lemma for the holomorphic self-mapping of the unit disk with respect to the $ q $-distance. Second, we establish the general Schwarz-Pick lemma for the self-mapping of the unit disk satisfying the ...
Fangming Cai , Jie Rui , Deguang Zhong
doaj   +1 more source

Generalized Briot-Bouquet Differential Equation Based on New Differential Operator with Complex Connections

open access: yesAxioms, 2020
A class of Briot–Bouquet differential equations is a magnificent part of investigating the geometric behaviors of analytic functions, using the subordination and superordination concepts. In this work, we aim to formulate a new differential operator with
Rabha W. Ibrahim   +2 more
doaj   +1 more source

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