Results 71 to 80 of about 901,024 (319)
Notes on Nonrepetitive Graph Colouring [PDF]
The Electronic Journal of Combinatorics, 2008 A vertex colouring of a graph is nonrepetitive on paths if there is no path $v_1,v_2,\dots,v_{2t}$ such that $v_i$ and $v_{t+i}$ receive the same colour for all $i=1,2,\dots,t$. We determine the maximum density of a graph that admits a $k$-colouring that is nonrepetitive on paths.
Barát, János, Wood, David R.
openaire +3 more sources
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
A note on face coloring entire weightings of plane graphs
Discussiones Mathematicae Graph Theory, 2014 Given a weighting of all elements of a 2-connected plane graph G = (V,E, F), let f(α) denote the sum of the weights of the edges and vertices incident with the face _ and also the weight of _.
Jendrol Stanislav, Šugerek Peter
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GRACEFUL CHROMATIC NUMBER OF SOME CARTESIAN PRODUCT GRAPHS
Ural Mathematical Journal, 2023 A graph \(G(V,E)\) is a system consisting of a finite non empty set of vertices \(V(G)\) and a set of edges \(E(G)\). A (proper) vertex colouring of \(G\) is a function \(f:V(G)\rightarrow \{1,2,\ldots,k\},\) for some positive integer \(k\) such that ...
I Nengah Suparta +3 more
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Colouring Generalized Claw-Free Graphs and Graphs of Large Girth: Bounding the Diameter [PDF]
, 2021 Barnaby Martin +2 more
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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
Forbidden Structures for Planar Perfect Consecutively Colourable Graphs
Discussiones Mathematicae Graph Theory, 2017 A consecutive colouring of a graph is a proper edge colouring with posi- tive integers in which the colours of edges incident with each vertex form an interval of integers.
Borowiecka-Olszewska Marta +1 more
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On the choosability with separation of planar graphs and its correspondence colouring analogue [PDF]
, 2022 Evelyne Smith‐Roberge
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Plecstatin inhibits hepatocellular carcinoma tumorigenesis and invasion through cytolinker plectin
Molecular Oncology, EarlyView.The ruthenium‐based metallodrug plecstatin exerts its anticancer effect in hepatocellular carcinoma (HCC) primarily through selective targeting of plectin. By disrupting plectin‐mediated cytoskeletal organization, plecstatin inhibits anchorage‐dependent growth, cell polarization, and tumor cell dissemination.
Zuzana Outla +10 more
wiley +1 more source
On k-Distance Pell Numbers in 3-Edge-Coloured Graphs
Journal of Applied Mathematics, 2014 We define in this paper new distance generalizations of the Pell numbers and the companion Pell numbers. We give a graph interpretation of these numbers with respect to a special 3-edge colouring of the graph.
Krzysztof Piejko, Iwona Włoch
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