Results 21 to 30 of about 3,787 (214)

The Locating Chromatic Number of Pentagonal Circular Ladder Graph PCLn

InPrime
Locating coloring is a type of vertex coloring applied to connected graphs, where each vertex is assigned a color such that adjacent vertices receive different colors.
Des Welyyanti, Annisa Wahyuni, Haripamyu
doaj   +1 more source

Circular chromatic number of Kneser graphs

Journal of Combinatorial Theory, Series B, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hossein Hajiabolhassan, Xuding Zhu
openaire   +1 more source

Circular Chromatic Number of Signed Planar Graphs Without Cycles of Length 4 to 9

Mathematics
Given a signed graph (G,σ) and a positive real number r, if there exists a vertex mapping c:V(G)→[0,r) satisfying that for every positive edge wx, 1≤|c(w)−c(x)|≤r−1 and for every negative edge wx, |c(w)−c(x)|≤r2−1 or |c(w)−c(x)|≥r2+1, then (G,σ) admits a
Chunyan Wei
doaj   +1 more source

Integration of OpenCV‐Based Microscopic Adhesive Volume Measurement Into a Pyiron Workflow for Automated Data Analysis

Advanced Engineering Materials, EarlyView.
Residual adhesive after electrode loading in adhesive‐assisted resistance spot welding is quantified through a traceable experimental‐to‐digital workflow. Chromatic confocal topography provides calibrated surface‐height data, while OpenCV detects the electrode imprint and integrates adhesive height into comparable volume metrics.
Sung‐Min Wi, Jiangdong Zhao
wiley   +1 more source

Strain‐Programmable Luminescent Adhesive Patch With Tartrazine‐Mediated Optical Skin Clearing for Photochemical Tissue Bonding

Advanced Functional Materials, EarlyView.
We propose a suture‐complementary approach that integrates optical skin clearing with a strain‐programmable luminescent adhesive patch. Hyaluronic acid promotes transdermal delivery of tartrazine to improve optical clearing and stabilizes its interaction with a photosensitizer. Optical clearing increases the penetration depth of visible light into skin,
Seong‐Jong Kim, Kyungjoo Jo, Kwanghyeon Park, Jun Hee Kim, Jong Hyeong Cho, Inhoo Choi, Sei Kwang Hahn   +6 more
wiley   +1 more source

Sulfur‐Free Ultrahigh‐Refractive‐Index Polymers Enabled by Densely Packed Oxygen‐Bridged Dibenzofuran‐Cardo Architectures

Advanced Functional Materials, EarlyView.
A new class of sulfur‐free, oxygen‐bridged dibenzofuran‐based polymers is developed for ultrahigh‐refractive‐index applications. The rigid π‐extended architecture and enhanced molecular polarizability enable exceptional optical performance, combining refractive indices up to 1.848 with high Abbe numbers and full visible transparency. This work offers a
Hend A. Hegazy, Gyeongsoo Kim, Sooyoung Lee, Mohamed R. Elmasry, Youn‐Chul Kim, Changsik Song   +5 more
wiley   +1 more source

Sodium Alginate‐Based Submucosal Lifting Hydrogel for Endoscopic Mucosal Resection and Endoscopic Submucosal Dissection

Advanced Healthcare Materials, EarlyView.
A biocompatible sodium alginate‐based hydrogel is developed as a next‐generation submucosal lifting agent intended for EMR and ESD. The optimized formulation exhibits a composition devoid of endotoxins, high viscosity, demonstrates reliable injectability, and ensures prolonged mucosal elevation.
Iram Maqsood, Venkata S. Akshintala, Surya T. Evani, Rebecca A. Krimins, Yihan Wang, Keith Freel, Ahmed Ibrahim, Saowanee Ngamruengphong, Mouen Khashab, Stephen W. Hoag   +9 more
wiley   +1 more source

One‐Dimensional Materials Supported in Two‐Dimensional Van der Waals Metal–Organic Frameworks with Optical Anisotropy Switching via Twist‐Engineering

Advanced Materials, EarlyView.
We introduce a molecular strategy to assemble one‐dimensional (1D) materials into two‐dimensional (2D) van der Waals metal–organic frameworks (MOFs). Crystals of [FeX(pzX)(bpy)] (X = Cl, F) form anisotropic 2D layers that can be mechanically exfoliated into thin sheets.
Eleni C. Mazarakioti, Carla Boix‐Constant, Iván Gómez‐Muñoz, Diego López‐Alcalá, Sergio Revuelta, Marco Ballabio, Vasileios Balos, José J. Baldoví, Enrique Cánovas, Josep Canet‐Ferrer, Guillermo Mínguez Espallargas, Samuel Mañas‐Valero, Eugenio Coronado   +12 more
wiley   +1 more source

Transparent Perovskite Light‐Emitting Diodes with Conductive Oxide Top Electrodes

Advanced Materials, EarlyView.
Transparent perovskite light‐emitting diodes (TrPeLEDs) enable simultaneous display and transparency, expanding application possibilities. Using a metal oxide buffer layer and pulsed laser deposition, TrPeLEDs with diverse compositions and architectures are demonstrated.
Michele Forzatti, Sergio Martínez‐Saiz, Morena Cervino, Edoardo Stanzani, Sandra Jenatsch, Qingsen Zeng, Joo Sung Kim, Dong‐Hyeok Kim, Eojin Yoon, Tae‐Woo Lee, Daniel Tordera, Henk J. Bolink   +11 more
wiley   +1 more source

Circular chromatic number: A survey

Discrete Mathematics, 2001
The circular chromatic number (also called star chromatic number) is a refinement of the chromatic number of a graph. If \(k\) and \(d\) are positive integers with \(k \geq 2d\) then a (\(k,d\))-coloring of a graph \(G\) is an assignment \(f\) of colors \(0,1, \dots ,k-1\) to the vertices of \(G\) such that \(d \leq |f(x)-f(y)|\leq k-d\) whenever two ...
openaire   +2 more sources