Results 91 to 100 of about 569,825 (280)
Discrete Mathematics, Algorithms and ApplicationsA graph is called NIC-planar if it admits a drawing in the plane such that each edge is crossed at most once and two pairs of crossing edges share at most one vertex. A graph together with a NIC-planar drawing is a NIC-plane graph. A graph is maximal NIC-planar or NIC-plane, if we cannot add any missing edge so that the resulting graph is still NIC ...
Ding, Zongpeng +2 more
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A Note On Vertex Colorings Of Plane Graphs
Discussiones Mathematicae Graph Theory, 2014 Given an integer valued weighting of all elements of a 2-connected plane graph G with vertex set V , let c(v) denote the sum of the weight of v ∈ V and of the weights of all edges and all faces incident with v.
Fabricia Igor +2 more
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Molecular Oncology, EarlyView.In this explorative study, the abundance of circular RNA molecules in bone marrow stem cells was found to be elevated in patients with high‐risk myelodysplastic neoplasms, and to be associated with an increased risk of progression to acute myeloid leukemia.
Eileen Wedge +17 more
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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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Molecular Oncology, EarlyView.This work identified serum proteins associated with pancreatic epithelial neoplasms (PanINs) and early‐stage PDAC. Proteomics screens assessed genetically engineered mice with abundant PanINs, KPC mice (Lox‐STOP‐Lox‐KrasG12D/+ Lox‐STOP‐Lox‐Trp53R172H/+ Pdx1‐Cre) before PDAC development and also early‐stage PDAC patients (n = 31), compared to benign ...
Hannah Mearns +10 more
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On the Weight of Minor Faces in Triangle-Free 3-Polytopes
Discussiones Mathematicae Graph Theory, 2016 The weight w(f) of a face f in a 3-polytope is the degree-sum of vertices incident with f. It follows from Lebesgue’s results of 1940 that every triangle-free 3-polytope without 4-faces incident with at least three 3-vertices has a 4-face with w ≤ 21 or ...
Borodin Oleg V., Ivanova Anna O.
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On d-antimagic labelings of plane graphs
Electronic Journal of Graph Theory and Applications, 2013 The paper deals with the problem of labeling the vertices and edges of a plane graph in such a way that the labels of the vertices and edges surrounding that face add up to a weight of that face.
Martin Baca +4 more
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Journal of Combinatorial Theory, Series B, 1983 AbstractIt is proven that, if Γ0 and Γ1 are isomorphic strictly convex graphs such that their outer polygons correspond to each other and have the same orientations, then Γ0 can be continuously deformed into Γ1 such that, at each stage, the graph under consideration is convex. This extends a result of Cairns (Ann of Math.
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Molecular Oncology, EarlyView.Aldehyde dehydrogenase 1A1 (ALDH1A1) is a cancer stem cell marker in several malignancies. We established a novel epithelial cell line from rectal adenocarcinoma with unique overexpression of this enzyme. Genetic attenuation of ALDH1A1 led to increased invasive capacity and metastatic potential, the inhibition of proliferation activity, and ultimately ...
Martina Poturnajova +25 more
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WORM Colorings of Planar Graphs
Discussiones Mathematicae Graph Theory, 2017 Given three planar graphs F,H, and G, an (F,H)-WORM coloring of G is a vertex coloring such that no subgraph isomorphic to F is rainbow and no subgraph isomorphic to H is monochromatic. If G has at least one (F,H)-WORM coloring, then W−F,H(G) denotes the
Czap J., Jendrol’ S., Valiska J.
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