An oriented coloring of planar graphs with girth at least five [PDF]
An oriented k-coloring of an oriented graph G is a homomorphism from G to an oriented graph H of order k. We prove that every oriented graph with a maximum average degree less than 103 and girth at least 5 has an oriented chromatic number at most 16 ...
Alexandre Pinlou, Pinlou, Alexandre
core +1 more source
Colorings and girth of oriented planar graphs
Let \(G=(V,E)\) and \(H=(V',E')\) be graphs (possibly digraphs). A homomorphism from \(G\) to \(H\) is any mapping \(f:V\to V'\) satisfying \([x,y]\in E\Rightarrow [f(x),f(y)]\in E'.\) Here the brackets on both sides of the implication mean the same thing: either an edge or an arc.
Jarik Nesetril +2 more
openaire +2 more sources
Rapidly Solidified High‐Strength Invar 36 Prepared by Planar‐Flow Melt Spinning
The Invar 36 alloy was rapidly solidified using the planar‐flow melt‐spinning technique. Ribbon samples with thicknesses ranging from 20 to 160 mm were produced. As the grain size of the ribbon decreased to sub‐micron levels, the hardness increased by more than 2 times.
Bekir Akgül, Mehmet Kul
wiley +1 more source
Effects of Mg on Microstructure and Solidification of a Hypereutectic Zn–8 wt.%Al Alloy
An appreciable set of results involving thermal data, microstructure, chemical composition, and microstructural growth laws is reported for ZnAlMg alloys. Such results demonstrate that ZnAlMg alloys have high potential for applications in automotive self‐lubricating components, batteries, and electrical systems.
Raí B. de Sousa +6 more
wiley +1 more source
Supporting AI Readiness Through Digital Workflows in Materials Science
Digitalization drives innovation in materials science by connecting data silos and turning heterogeneous processes into reusable research pipelines. Across 13 MaterialDigital projects, digital workflows reveal complementary pathways toward AI‐ready materials research, founded on structured data, persistent artifacts, executable orchestration, and ...
Marian Bruns +67 more
wiley +1 more source
Color-avoiding connected colorings and orientations
We study network robustness under correlated failures modeled by colors, where each color represents a class of edges or vertices that may fail simultaneously. An edge-colored graph is said to be edge-color-avoiding $k$-edge-connected if it remains $k$-edge-connected after the removal of all edges of any single color.
Pintér, József, Varga, Kitti
openaire +2 more sources
Forbidden Subgraph Colorings and the Oriented Chromatic Number
We present an improved upper bound of O(d^1^+^1^m^-^1) for the (2,F)-subgraph chromatic number @g"2","F(G) of any graph G of maximum degree d. Here, m denotes the minimum number of edges in any member of F. This bound is tight up to a (logd)^1^/^(^m^-^1^) multiplicative factor and improves the previous bound presented in Aravind and Subramanian (2011) [
N. R. Aravind, C. R. Subramanian 0001
openaire +2 more sources
FastNano Liquid: An Automated Platform for Small‐Angle X‐ray Scattering‐Based Materials Discovery
We present FastNano Liquid, an automated small‐ and wide‐angle X‐ray scattering platform for the combined synthesis and characterization of (nano)materials. The platform is coupled to varied reactor workflows for both in situ studies of reaction kinetics and ex situ screening of synthesis conditions to support machine learning‐guided exploration ...
Pierre‐Baptiste Flandrin +16 more
wiley +1 more source
THE INNOVATIVE TRENDS IN THE METHODOLOGY OF PHYSICAL EDUCATION OF CHILDREN IN THE AGE OF 5-6
Petrenko Hennadij. The innovative trends in the methodology of physical education of children in the age of 5-6. Journal of Education, Health and Sport. 2015;5(10):306-317. ISSN 2391-8306. DOIhttp://dx.doi.org/10.5281/zenodo.34306 http://ojs.ukw.edu.pl/
Hennadij Petrenko
doaj +2 more sources
Control of Polarization and Polar Helicity in BiFeO3 by Epitaxial Strain and Interfacial Chemistry
In BiFeO3 thin films, the interplay of interfacial chemistry, electrostatics, and epitaxial strain is engineered to stabilize homohelicity in polarization textures at the domain scale. The synergistic use of a Bi2O2‐terminated Aurivillius buffer layer and a highly anisotropic compressive epitaxial strain offers new routes to control the polar‐texture ...
Elzbieta Gradauskaite +5 more
wiley +1 more source

