Results 141 to 150 of about 27,939 (295)
Adaptable chromatic number of graph products
A colouring of the vertices of a graph (or hypergraph) G is adapted to a given colouring of the edges of G if no edge has the same colour as both (or all) its vertices.
Wong, Tsai-Lien +5 more
core +1 more source
PISOT NUMBERS AND CHROMATIC ZEROS
In this article we show that Pisot numbers of even degree and their powers cannot be roots of chromatic polynomials. We also consider the family of smallest Pisot numbers of odd degree. We show that they cannot be roots of chromatic polynomials of connected graphs with a certain maximum number of vertices.
openaire +4 more sources
ABSTRACT Vascularization remains a major obstacle in tissue engineering. Here, we introduce a bioprinting strategy to generate centimeter‐scale, self‐organizing “mother vessel” constructs from iPSC‐derived hiMPCs. By optimizing bioink composition, printing was accomplished in a single‐step approach. Within one week, hiMPCs differentiated into both CD31+
Leyla E. Dogan +5 more
wiley +1 more source
A robust, substrate‐independent fabrication approach overcomes the spectral and geometric limitations of traditional stray‐light suppression. By combining ink spray‐coating with self‐assembled microsphere mask etching, this method produces parabolic‐shaped microstructures on diverse planar and curved engineering components.
Yiming Li +5 more
wiley +1 more source
Nanographene‐Based van der Waals Organic Framework With Permanent Porosity
Unlocking record‐breaking porosity in a supramolecular organic framework (SOF). Through the strategic design of a C3‐symmetric nanographene, a robust supramolecular framework is achieved via exclusively weak van der Waals forces. This metal‐free scaffold reaches a benchmark BET surface area of 1108 m2 g−1 –the highest to date for this class–combining ...
Arturo Oró +5 more
wiley +2 more sources
Redefining Crystalline Silicon: Unlocking New Horizons in Transparent and Flexible Photovoltaics
Crystalline silicon is presented as a platform for transparent and flexible photovoltaics. This review article outlines design principles for optical strategies to fabricate transparent silicon solar cells, mechanical strategies that mitigate silicon brittleness, and emerging concepts such as singlet‐fission spectral conversion and tandem architectures,
Kangmin Lee
wiley +1 more source
Red‐emissive carbon dots (R‐CDs) exhibiting aggregation‐induced emission (AIE) and aggregation‐caused quenching (ACQ) effects are synthesized from citric acid and urea. They display weak blue fluorescence in water but strong red emission in DMF due to aggregation.
Jiafeng Wan +11 more
wiley +2 more sources
The chromatic number is a well-studied graph invariant. This is the smallest number of colors necessary to color all the vertices such that no two vertices adjacent to the same edge are the same color.
Myrant, Cat
core
The Robust Chromatic Number of Graphs
AbstractA 1-removed subgraph $$G_f$$ G f of a graph $$G=(V,E)$$ G = ( V , E )
Gábor Bacsó +3 more
openaire +3 more sources
Sequential multicolor fluorescence imaging in dynamic microsystems is constrained by acquisition speed and excitation dose. This study introduces a real‐time framework to reconstruct spectrally separated channels from reduced cross‐channel acquisitions (frames containing mixed spectral contributions).
Juan J. Huaroto +3 more
wiley +1 more source

