Results 21 to 30 of about 3,066,756 (267)
Planar Graphs as VPG-Graphs [PDF]
A graph is Bk-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 B3-VPG and this was conjectured to be tight. We disprove this conjecture by showing that all planar graphs are B2-VPG.
Steven Chaplick, Torsten Ueckerdt
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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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The present article is designed to be a contribution to the chapter `Combinatorial Matrix Theory and Graphs' of the Handbook of Linear Algebra, to be published by CRC Press. The format of the handbook is to give just definitions, theorems, and examples; no proofs. In the five sections given below, we present the most im- portant notions and facts about
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Graph Homomorphism Revisited for Graph Matching [PDF]
In a variety of emerging applications one needs to decide whether a graph G matches another G p , i.e. , whether G
Fan, Wenfei+4 more
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Equitable Graph of a Graph [PDF]
A subset D of V is called an equitable dominating set if for every v ∈ V − D there exists a vertex u ∈ D such that uv ∈ E(G) and |d(u) − d(v)| ≤ 1 ,w hered(u) denotes the degree of vertex u and d(v) denotes the degree of vertex v. The minimum cardinality of such a dominating set is denoted by γ e and is called the equitable domination number of G ...
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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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Background To explore the long-term trajectories considering pneumonia volumes and lymphocyte counts with individual data in COVID-19. Methods A cohort of 257 convalescent COVID-19 patients (131 male and 126 females) were included.
Nannan Shi+13 more
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THE k-INDEPENDENT GRAPH OF A GRAPH [PDF]
Let $G=(V,E)$ be a simple graph. A set $I\subseteq V$ is an independent set, if no two of its members are adjacent in $G$. The $k$-independent graph of $G$, $I_k (G)$, is defined to be the graph whose vertices correspond to the independent sets of $G$ that have cardinality at most $k$.
Abdul Jalil M. Khalaf+2 more
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Towards Translating Graph Transformation Approaches by Model Transformations [PDF]
Recently, many researchers are working on semantics preserving model transformation. In the field of graph transformation one can think of translating graph grammars written in one approach to a behaviourally equivalent graph grammar in another approach.
Frank Hermann+10 more
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On (a,d)-antimagic labelings of Hn, FLn and mCn
In this paper, we derive the necessary condition for an (a,d )- antimagic labeling of some new classes of graphs such as Hn, F Ln and mCn. We prove that Hn is (7n +2, 1)-antimagic and mCn is ((mn+3)/2,1)- antimagic.
Ramalakshmi Rajendran, K. M. Kathiresan
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