Results 81 to 90 of about 82,884 (244)
Facial [r,s,t]-Colorings of Plane Graphs
Discussiones Mathematicae Graph Theory, 2019 Let G be a plane graph. Two edges are facially adjacent in G if they are consecutive edges on the boundary walk of a face of G. Given nonnegative integers r, s, and t, a facial [r, s, t]-coloring of a plane graph G = (V,E) is a mapping f : V ∪ E → {1, . .
Czap Július +3 more
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Which point sets admit a $k$-angulation?
Journal of Computational Geometry, 2014 For \(k\ge 3\), a \(k\)-angulation is a 2-connected plane graph in which every internal face is a \(k\)-gon. We say that a point set \(P\) admits a plane graph \(G\) if there is a straight-line drawing of \(G\) that maps \(V(G)\) onto \(P\) and has the ...
Michael S. Payne +2 more
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Molecular Oncology, EarlyView.Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice +16 more
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An Extension of Kotzig’s Theorem
Discussiones Mathematicae Graph Theory, 2016 In 1955, Kotzig proved that every 3-connected planar graph has an edge with the degree sum of its end vertices at most 13, which is tight. An edge uv is of type (i, j) if d(u) ≤ i and d(v) ≤ j.
Aksenov Valerii A. +2 more
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Effective therapeutic targeting of CTNNB1‐mutant hepatoblastoma with WNTinib
Molecular Oncology, EarlyView.WNTinib, a Wnt/CTNNB1 inhibitor, was tested in hepatoblastoma (HB) experimental models. It delayed tumor growth and improved survival in CTNNB1‐mutant in vivo models. In organoids, WNTinib outperformed cisplatin and showed enhanced efficacy in combination therapy, supporting its potential as a targeted treatment for CTNNB1‐mutated HB.
Ugne Balaseviciute +17 more
wiley +1 more source
Odd facial total-coloring of unicyclic plane graphs [PDF]
Discrete Mathematics Letters, 2022 Július Czap
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Galois connections between sets of paths and closure operators in simple graphs
Open Mathematics, 2018 For every positive integer n,we introduce and discuss an isotone Galois connection between the sets of paths of lengths n in a simple graph and the closure operators on the (vertex set of the) graph.
Šlapal Josef
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Molecular Oncology, EarlyView.The LINC01116 long noncoding RNA is induced by hypoxia and associated with poor prognosis and high recurrence rates in two cohorts of lung adenocarcinoma patients. Here, we demonstrate that besides its expression in cancer cells, LINC01116 is markedly expressed in lymphatic endothelial cells of the tumor stroma in which it participates in hypoxia ...
Marine Gautier‐Isola +12 more
wiley +1 more source
Electronic Notes in Discrete Mathematics, 2007 Abstract The rainbowness, rb ( G ) , of a connected plane graph G is the minimum number k such that any colouring of vertices of the graph G using at least k colours involves a face all vertices of which receive distinct colours. We give a survey on recent results concerning ranbowness of plane graphs.
openaire +1 more source
ATF4‐mediated stress response as a therapeutic vulnerability in chordoma
Molecular Oncology, EarlyView.We screened 5 chordoma cell lines against 100+ inhibitors of epigenetic and metabolic pathways and kinases and identified halofuginone, a tRNA synthetase inhibitor. Mechanistically halofuginone induces an integrated stress response, with eIF2alpha phosphorylation, activation of ATF4 and its target genes CHOP, ASNS, INHBE leading to cell death ...
Lucia Cottone +11 more
wiley +1 more source