Results 91 to 100 of about 117,877 (279)
Upper oriented chromatic number of undirected graphs and oriented colorings of product graphs
The oriented chromatic number of an oriented graph $\vec G$ is the minimum order of an oriented graph $\vev H$ such that $\vec G$ admits a homomorphism to $\vev H$.
Sopena, Eric
core +1 more source
AbstractWe show that if add(null) = c, then the globally Baire and universally measurable chromatic numbers of the graph of any Borel function on a Polish space are equal and at most three. In particular, this holds for the graph of the unilateral shift on [ℕ]ℕ, although its Borel chromatic number is ℵ0.
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Using machine learning on a mega‐scale global dataset (n = 1,336,840) reveals a robust personality trait architecture beyond the Big Five. A Big Two model, broadly capturing social engagement and internal mentation, defines a geometric space that links personality to neurocognitive profiles.
Kaixiang Zhuang +7 more
wiley +1 more source
Chromatic Number of Resultant of Fuzzy Graphs
Fuzzy graph coloring techniques are used to solve many complex real world problems. The chromatic number of complement of fuzzy graph is obtained and compared with the chromatic number of the corresponding fuzzy graph.
Anjaly Kishore, M.S. Sunitha
doaj +1 more source
Chromatic numbers of algebraic hypergraphs [PDF]
A k-uniform hypergraph is algebraic if its vertex set is n-dimensional Euclidean space, for some n, and its hyperedge set is defined from the zero set of some polynomial. The chromatic numbers of all algebraic hypergraphs are determined, provided they are infinite.
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ERK‐Mediated Phosphorylation of YAP Defines a Noncanonical FGF Signaling Mechanism in Stem Cells
With a powerful combination of in vivo, ex vivo, and in vitro models, the authors highlight a novel FGF‐ERK signaling regulation of YAP at the S128 site in neural crest‐derived stem cells. This study opens exciting new directions in stem cell biology and craniofacial biology, paving the way for potential innovations in the treatment of craniofacial ...
Xiaolei Zhao +16 more
wiley +1 more source
The Chromatic Number of Random Intersection Graphs
We study problems related to the chromatic number of a random intersection graph G (n,m, p). We introduce two new algorithms which colour G (n,m, p) with almost optimum number of colours with probability tending to 1 as n → ∞. Moreover we find a range of
Rybarczyk Katarzyna
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Endocytic Control of Cell‐Autonomous and Non‐Cell‐Autonomous Functions of p53
NUMB Ex3‐containing isoforms localize to the plasma membrane, where they recruit p53 through SNX9 and direct it to multivesicular bodies and exosomes. Exported p53 is taken up by neighboring cells and activates nuclear programs, revealing an intercellular, exosome‐based pathway that might help establish a tumor‐suppressive microenvironment.
Roberta Cacciatore +20 more
wiley +1 more source
Enumerative properties of Ferrers graphs
We define a class of bipartite graphs that correspond naturally with Ferrers diagrams. We give expressions for the number of spanning trees, the number of Hamiltonian paths when applicable, the chromatic polynomial, and the chromatic symmetric function ...
Ehrenborg, Richard +1 more
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This study demonstrates multimodal integration in non‐human primates, combining large‐scale, high‐density electrophysiology using Smart Dura with optical techniques such as multiphoton imaging (MPI), photothrombotic lesioning, optical coherence tomography angiography (OCTA), wide‐field intrinsic signal optical imaging (ISOI), and optogenetics.
Nari Hong +10 more
wiley +1 more source

