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Vector Arithmetic in the Triangular Grid [PDF]
Vector arithmetic is a base of (coordinate) geometry, physics and various other disciplines. The usual method is based on Cartesian coordinate-system which fits both to continuous plane/space and digital rectangular-grids.
Khaled Abuhmaidan +2 more
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TriCCo v1.1.0 – a cubulation-based method for computing connected components on triangular grids [PDF]
We present a new method to identify connected components on triangular grids used in atmosphere and climate models to discretize the horizontal dimension.
A. Voigt +3 more
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The beneficial effects of adopting a triangular lattice on phased arrays with regular and periodic grids for high-altitude platform station (HAPS) systems are presented in the scenario of massive MIMO communications operating within the 5G NR n257 and ...
Francesco Alessio Dicandia +1 more
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Triangular-grid billiards and plabic graphs
16 pages, 13 ...
Defant, Colin, Jiradilok, Pakawut
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A Triangular Grid Filter Method Based on the Slope Filter
High-precision ground point cloud data has a wide range of applications in various fields, and the separation of ground points from non-ground points is a crucial preprocessing step.
Chuanli Kang +5 more
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Three-dimensional finite element (FE) simulations were performed to further develop the Swedish design guidelines for geogrid-reinforced timber pile-supported embankments, also known as lightly piled embankments. Lightly piled embankments are constructed
Per Gunnvard, Hans Mattsson, Jan Laue
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Derivative-Free Power Flow Solution for Bipolar DC Networks with Multiple Constant Power Terminals
This paper analyzes the power flow solution in bipolar direct current networks with radial structures considering multiple monopolar and bipolar constant power loads.
Ángeles Medina-Quesada +2 more
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Edge-Bandwidth of the Triangular Grid [PDF]
In 1995, Hochberg, McDiarmid, and Saks proved that the vertex-bandwidth of the triangular grid $T_n$ is precisely $n+1$; more recently Balogh, Mubayi, and Pluhár posed the problem of determining the edge-bandwidth of $T_n$. We show that the edge-bandwidth of $T_n$ is bounded above by $3n-1$ and below by $3n-o(n)$.
Akhtar, Reza, Jiang, Tao, Pritikin, Dan
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On the Number of Shortest Weighted Paths in a Triangular Grid
Counting the number of shortest paths in various graphs is an important and interesting combinatorial problem, especially in weighted graphs with various applications. We consider a specific infinite graph here, namely the honeycomb grid. Changing to its
Benedek Nagy, Bashar Khassawneh
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A Note on Triple Repetition Sequence of Domination Number in Graphs
A set D subset of V(G) is a dominating set of a graph G if for all x ϵ V(G)\D, for some y ϵ D such that xy ϵ E(G). A dominating set D subset of V(G) is called a connected dominating set of a graph G if the subgraph induced by D is connected. A connected
Leomarich F. Casinillo +2 more
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