Results 111 to 120 of about 307,259 (304)
The crossing number of satellite knots
We show that the crossing number of a satellite knot is at least 10^{-13} times the crossing number of its companion ...
Lackenby, Marc
core +1 more source
Nonplanarity of Iterated Line Graphs
The 1-crossing index of a graph G is the smallest integer k such that the kth iterated line graph of G has crossing number greater than 1. In this paper, we show that the 1-crossing index of a graph is either infinite or it is at most 5.
Jing Wang
doaj +1 more source
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
The exact crossing number is known only for a few specific families of graphs. Cartesian products of two graphs belong to the first families of graphs for which the crossing number has been studied. Let Pn be a path with n+1 vertices. Pnk, the k-power of
Klešč, Marián +3 more
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Various heuristic algorithms to minimise the two-page crossing numbers of graphs
We propose several new heuristics for the twopage book crossing problem, which are based on recent algorithms for the corresponding one-page problem. Especially, the neural network model for edge allocation is combined for the first time with various one-
He Hongmei +3 more
doaj +1 more source
Loss of the miR‐214/199a cluster is associated with recurrence in ovarian cancer. Engineered small extracellular vesicles (m214‐sEVs) elevate miR‐214‐3p/miR‐199a‐5p in tumor cells, suppress β‐catenin, TLR4, and YKT6 signaling, reprogram tumor‐derived sEV cargo, reduce chemoresistance and migration, and enhance carboplatin efficacy and survival in ...
Weida Wang +12 more
wiley +1 more source
A longstanding problem of crossing number, Zarankiewicz’s conjecture, asserts that the crossing number of the complete bipartite graph Km,n is ⌊m2⌋⌊m−12⌋⌊n2⌋⌊n−12⌋, which is known only for m≤6. It is natural to generalize Zarankiewicz conjecture and ask:
Ho, Pak Tung
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Interrogating the immune landscape of microsatellite stable RAS‐mutated colon cancer
COLOSSUS project RAS‐mutated MSS colon cancer study explored transcriptomics and immune cell density by immunohistochemistry (IHC), Immunoscore (IS), ISIC/TuLIS scores, mutation counts, and detected different prevalences but similar microenvironment composition across immune markers with clinical relevance for future immunotherapy combination ...
Rodrigo Dienstmann +61 more
wiley +1 more source
ON THE SATELLITE CROSSING NUMBER CONJECTURE
We prove some estimates on the crossing number of satellites of adequate, and partly of semiadequate knots. We mostly deal with classical cables, obtaining the first examples where the asymptotic cable crossing number is shown to be equal to the ...
A. STOIMENOW
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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

