Results 21 to 30 of about 2,125,479 (331)
Summary: The task of drawing subgraphs is often underestimated and they are simply emphasized using different colors or line styles. In this paper, we present an approach for drawing graphs within graphs that first produces a layout for the subgraphs thus increasing their locality.
Holleis, Paul +2 more
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Accurately predicting the binding affinity between proteins and ligands is crucial for drug discovery. Recent advances in graph neural networks (GNNs) have made significant progress in learning representations of protein-ligand complexes to estimate ...
Jianqiu Wu +3 more
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How does road marking in horizontal curves influence driving behaviour?
Purpose Given the inconsistent application of various road markings on Czech rural roads, there is a question “How does road marking in horizontal curves influence driving behaviour?” The study objective was to assess how centreline and edgelines ...
Pavel Havránek +5 more
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Graph equations for line graphs, total graphs, middle graphs and quasi-total graphs
Let G be a simple finite and connected graph with the vertex set V(G) and the edge set X(G). Let V'(G) be the family of all one-point subsets of V(G). Both the line graph L(G) of G and the total graph T(G) of G are standard graph theoretical concepts. The middle graph M(G) of G is the intersection graph of \(V'(G)\cup X(G)\) and the quasi-total graph P(
Sastry, D.V.S, Raju, B.Syam Prasad
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Graph saturation in multipartite graphs [PDF]
16 pages, 4 ...
Ferrara, Michael +3 more
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Visual Analysis of Vehicle Trajectories for Determining Cross-Sectional Load Density
The goal of this work was to analyze the behavior of drivers on third class roads with and without horizontal lane marking. The roads have low traffic volume, and therefore a conventional short-term study would not be able to provide enough data. We used
Roman Juránek +4 more
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For a graph G, let G, L(G), J(G) S(G), L,(G) and M(G) denote Complement, Line graph, Jump graph, Splitting graph, Line splitting graph and Middle graph respectively. In this paper, we solve the graph equations L(G) =S(H), M(G) = S(H), L(G) = LS(H), M(G) =LS(H), J(G) = S(H), M(G) = S(H), J(G) = LS(H) and M(G) = LS(G).
B. Basavanagoud, Veena Mathad
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Planar Graphs as VPG-Graphs [PDF]
Summary: A graph is \(B_k\)-VPG when it has an intersection representation by paths in a rectangular grid with at most \(k\) bends (turns). It is known that all planar graphs are \(B_3\)-VPG and this was conjectured to be tight. We disprove this conjecture by showing that all planar graphs are \(B_2\)-VPG.
Chaplick, Steven, Ueckerdt, Torsten
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Graph Powers and Graph Homomorphisms [PDF]
In this paper, we investigate some basic properties of fractional powers. In this regard, we show that for any non-bipartite graph $G$ and positive rational numbers ${2r+1\over 2s+1} < {2p+1\over 2q+1}$, we have $G^{2r+1\over 2s+1} < G^{2p+1\over 2q+1}$. Next, we study the power thickness of $G$, that is, the supremum of rational numbers ${2r+
Hajiabolhassan, Hossein, Taherkhani, Ali
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