Results 61 to 70 of about 27,939 (295)
Discrete Mathematics, 2002 A nice open problem is to find the minimum number of colors necessary to color the points of the Euclidean plane so that any two points of unit distance receive distinct colors. This number is known to be at least 4 (by finding a particular set of 6 points that require 4 colors) and 7 (by demonstrating a particular coloring of all the points).
openaire +1 more source
Ratiometric Mycotoxin Detection in Living Plants With Dual‐Emissive Nanosensors
Advanced Materials, EarlyView.A minimally invasive microneedle patch integrates carbon dot‐embedded metal–organic frameworks as nanosensors to detect a key fungal toxin in living plants. The nanosensor produces a ratiometric fluorescence signal that enables early, non‐destructive diagnosis of fungal infection before visible symptoms, offering a new biomaterials‐based strategy for ...
Yuliang Li +9 more
wiley +1 more source
The Locating Chromatic Number for Pizza Graphs
, 2023 The location chromatic number for a graph is an extension of the concepts of partition dimension and vertex coloring in a graph. The minimum number of colors required to perform location coloring in graph G is referred to as the location chromatic number
Nasution, Hamidah +3 more
core +1 more source
Advances in Mathematics, 1999 From the article: We consider graphs \({\mathcal G}=(X,R)\) where the vertex set \(X\) is a standard Borel space (i.e., a complete separable metrizable space equipped with its \(\sigma\)-algebra of Borel sets), and the edge relation \(R\subseteq X^2\) is ``definable,'' i.e., Borel, analytic, coanalytic, etc.
Kechris, A. S. +2 more
openaire +3 more sources
Advanced Materials Technologies, EarlyView.This study presents a novel platform for assessing the active mechanical behavior of living cardiac microbundles through localized nanoindentation, integrated with temperature regulation and dual‐camera imaging systems. The developed system enables quantitative evaluation of dynamic micromechanics in engineered cardiac tissues in vitro, offering ...
Lihua Lou +4 more
wiley +1 more source
Hamiltonian Chromatic Number of Trees [PDF]
, 2020 This is a final version appeared in proceedings of RAGT 2019 ...
Devsi Bantva, Samir Vaidya
openaire +2 more sources
Advanced Materials Technologies, EarlyView.ABSTRACT Real‐time insight into local chemistry is critical for reliable part quality in additive manufacturing, especially laser powder bed fusion (PBF‑LB/M), where rapid thermal cycles and localized evaporation can undermine part performance. Optical emission spectroscopy (OES) offers non‑intrusive, in situ plume monitoring, but detection geometry ...
Philipp Gabriel +4 more
wiley +1 more source
Oriented Incidence Colourings of Digraphs
Discussiones Mathematicae Graph Theory, 2019 Brualdi and Quinn Massey [6] defined incidence colouring while study- ing the strong edge chromatic index of bipartite graphs. Here we introduce a similar concept for digraphs and define the oriented incidence chromatic number.
Duffy Christopher +3 more
doaj +1 more source
On the Chromatic Number of Random Graphs
Journal of Combinatorial Theory, Series B, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amin Coja-Oghlan +2 more
openaire +2 more sources
Advanced Materials Technologies, EarlyView.An AlON interfacial layer is engineered within an AlN switching layer to enable transparent RRAM with four stable resistance states. The device achieves low‐voltage multilevel switching and a high HRS, allowing precise grayscale modulation and preventing light leakage in micro‐LEDs operated at VDD = 2.7 V.
Sung Keun Choi +7 more
wiley +1 more source