Results 71 to 80 of about 332,227 (273)
Fundamental groupoids of k-graphs [PDF]
k-graphs are higher-rank analogues of directed graphs which were first developed to provide combinatorial models for operator algebras of Cuntz-Krieger type.
Pask, David, Quigg, John, Raeburn, Iain
core +4 more sources
Glioma cells mainly express the endothelin receptor EDNRB, while EDNRA is restricted to a perivascular tumor subpopulation. Endothelin signaling reduces glioma cell proliferation while promoting migration and a proneural‐to‐mesenchymal transition associated with poor prognosis. This pathway activates Ca2+, K+, ERK, and STAT3 signalings and is regulated
Donovan Pineau +36 more
wiley +1 more source
Q-system Cluster Algebras, Paths and Total Positivity
In the first part of this paper, we provide a concise review of our method of solution of the A_r Q-systems in terms of the partition function of paths on a weighted graph. In the second part, we show that it is possible to modify the graphs and transfer
Philippe Di Francesco, Rinat Kedem
doaj +1 more source
Graph-Theoretic Approach for Self-Testing in Bell Scenarios
Self-testing is a technology to certify states and measurements using only the statistics of the experiment. Self-testing is possible if some extremal points in the set B_{Q} of quantum correlations for a Bell experiment are achieved, up to isometries ...
Kishor Bharti +5 more
doaj +1 more source
Rank of divisors on graphs: an algebro-geometric analysis [PDF]
The divisor theory for graphs is compared to the theory of linear series on curves through the correspondence associating a curve to its dual graph.
Caporaso, Lucia
core
Logarithmic Picard groups, chip firing, and the combinatorial rank
Illusie has suggested that one should think of the classifying group of M_X^{gp}-torsors on a logarithmically smooth curve $X$ over a standard logarithmic point as a logarithmic analogue of the Picard group of $X$.
Foster, T. +3 more
core +1 more source
On the K-theory of higher rank graph C*-algebras
Given a row-finite $k$-graph $ $ with no sources we investigate the $K$-theory of the higher rank graph $C^*$-algebra, $C^*( )$. When $k=2$ we are able to give explicit formulae to calculate the $K$-groups of $C^*( )$. The $K$-groups of $C^*( )$ for $k>2$ can be calculated under certain circumstances and we consider the case $k=3$. We prove that
openaire +3 more sources
Real and complex K-theory for higher-rank graph algebras arising from cube complexes
Using the Evans spectral sequence and its counter-part for real $K$-theory, we compute both the real and complex $K$-theory of several infinite families of $C^*$-algebras based on higher-rank graphs of rank $3$ and $4$. The higher-rank graphs we consider arise from double-covers of cube complexes. By considering the real and complex $K$-theory together,
Boersema, Jeffrey L., Vdovina, Alina
openaire +2 more sources
Somatic mutational landscape in von Hippel–Lindau familial hemangioblastoma
The causes of central nervous system (CNS) hemangioblastoma in Von Hippel–Lindau (vHL) disease are unclear. We used Whole Exome Sequencing (WES) on familial hemangioblastoma to investigate events that underlie tumor development. Our findings suggest that VHL loss creates a permissive environment for tumor formation, while additional alterations ...
Maja Dembic +5 more
wiley +1 more source
We have established a humanized orthotopic patient‐derived xenograft (Hu‐oPDX) mouse model of high‐grade serous ovarian cancer (HGSOC) that recapitulates human tumor–immune interactions. Using combined anti‐PD‐L1/anti‐CD73 immunotherapy, we demonstrate the model's improved biological relevance and enhanced translational value for preclinical ...
Luka Tandaric +10 more
wiley +1 more source

