Results 41 to 50 of about 4,335,157 (373)
Location Oblivious Distributed Unit Disk Graph Coloring [PDF]
Algorithmica, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barbeau, Michel +4 more
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Improper Colourings of Unit Disk Graphs
Electronic Notes in Discrete Mathematics, 2005 AbstractMotivated by a satellite communications problem, we consider a generalized coloring problem on unit disk graphs. A coloring is k‐improper if no more than k neighbors of every vertex have the same colour as that assigned to the vertex. The k‐improper chromatic number χk(G) is the least number of colors needed in a k‐improper coloring of a graph ...
Havet, Frédéric +2 more
openaire +3 more sources
Complete Continuity of Composition-Differentiation Operators on the Hardy Space H1
Journal of Function Spaces, 2023 We study composition-differentiation operators on the Hardy space H1 on the unit disk. We prove that if φ is an analytic self-map of the unit disk such that the composition-differentiation operator induced by φ is bounded on the Hardy space H1, then it ...
Ali Abkar
doaj +1 more source
A Sharp Inequality for Harmonic Diffeomorphisms of the Unit Disk [PDF]
, 2017 We extend the classical Schwarz–Pick inequality to the class of harmonic mappings between the unit disk and a Jordan domain with given perimeter. It is intriguing that the extremals in this case are certain harmonic diffeomorphisms between the unit disk ...
D. Kalaj
semanticscholar +1 more source
Hyperbolic Lambert Quadrilaterals and Quasiconformal Mappings
, 2013 We prove sharp bounds for the product and the sum of two hyperbolic distances between the opposite sides of hyperbolic Lambert quadrilaterals in the unit disk.
Vuorinen, Matti, Wang, Gendi
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Injectivity of sections of convex harmonic mappings and convolution theorems [PDF]
, 2015 In the article the authors consider the class ${\mathcal H}_0$ of sense-preserving harmonic functions $f=h+\overline{g}$ defined in the unit disk $|z|
A. W. Goodman +36 more
core +2 more sources
True Contraction Decomposition and Almost ETH-Tight Bipartization for Unit-Disk Graphs
International Symposium on Computational GeometryWe prove a structural theorem for unit-disk graphs, which (roughly) states that given a set \(\mathcal{D}\) of \(n\) unit disks inducing a unit-disk graph \(G_{\mathcal{D}}\) and a number \(p\in[n]\) , one can partition \(\mathcal{D}\) into \(p\) subsets
Sayan Bandyapadhyay +4 more
semanticscholar +1 more source
Unbounded functions in the unit disk
International Journal of Mathematics and Mathematical Sciences, 1983 A survey is made of results related to the value distribution of functions which are meromorphic or analytic in the unit disc and have unbounded growth according to some specific growth indicator.
L. R. Sons
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Validity and regularization of classical half-space equations
, 2016 Recent result [Wu and Guo, Comm. Math. Phys., 2015] has shown that over the 2D unit disk, the classical half-space equation (CHS) for the neutron transport does not capture the correct boundary layer behaviour as long believed. In this paper we develop a
Li, Qin, Lu, Jianfeng, Sun, Weiran
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Journal of Inequalities and Applications, 2017 We calculate the essential norm of some extensions of the generalized composition operators between kth weighted-type spaces on the unit disk in the complex plane, considerably extending some results in the literature.
Stevo Stević
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