Results 101 to 110 of about 2,145,411 (284)
KŐNIG’S LINE COLORING AND VIZING’S THEOREMS FOR GRAPHINGS
The classical theorem of Vizing states that every graph of maximum degree $d$ admits an edge coloring with at most
ENDRE CSÓKA +2 more
doaj +1 more source
Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes +4 more
wiley +1 more source
The spread of fire on a random multigraph
We study a model for the destruction of a random network by fire. Suppose that we are given a multigraph of minimum degree at least 2 having real-valued edge-lengths.
Goldschmidt, Christina +1 more
core +1 more source
Tau acetylation at K331 has limited impact on tau pathology in vivo
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto +3 more
wiley +1 more source
Calpain small subunit homodimerization is robust and calcium‐independent
Calpains dimerize via penta‐EF‐hand (PEF) domains. Using single‐molecule force spectroscopy, we measured the strength and kinetics of PEF–PEF homodimer binding. The interaction is robust, shows a transient conformational step before dissociation, and remains largely insensitive to Ca2+.
Nesha May O. Andoy +4 more
wiley +1 more source
Structural insights into an engineered feruloyl esterase with improved MHET degrading properties
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa +5 more
wiley +1 more source
Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley +1 more source
Two Types of Non‐Abelian Topological Phase Transitions Under Duality Mapping in 1D Photonic Chains
Exploring new topological phases and phenomena is essential in the modern physics. Although non‐Abelian topology with braided nodes in multiple bandgaps systems has been extensively explored, new non‐Abelian phase transitions with nodal line degeneracy ...
Yufu Liu +6 more
doaj +1 more source
This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel +13 more
wiley +1 more source
Degree conditions for hamiltonicity: Counting the number of missing edges
Dirac showed that if \(G\) is a graph of order \(n\) having minimum degree at least \(n/2\), then \(G\) is Hamiltonian. Ore strengthened this result by showing that if the sum of the degrees of every pair of non-adjacent vertices is at least \(n\), then \(G\) is Hamiltonian.
Faudree, Ralph J. +3 more
openaire +1 more source

