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Inverse Design of Metal-Organic Polyhedra through Molecular Fragmentation and Evolutionary Optimisation. [PDF]
Butler PWV +4 more
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High-Precision Extrinsic Calibration for Multi-LiDAR Systems with Narrow FoV via Synergistic Planar and Circular Features. [PDF]
Sun X, Zhang Z, Xu S, Liu J.
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Local clustering decoder as a fast and adaptive hardware decoder for the surface code. [PDF]
Ziad AB +6 more
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Connectivity Labeling in Faulty Colored Graphs. [PDF]
Petruschka A, Sapir S, Tzalik E.
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Light edges in 1‐planar graphs
Journal of Graph Theory, 2022AbstractA graph is 1‐planar if it can be drawn in the plane so that each edge is crossed by at most one other edge. In this paper, we prove that every 1‐planar graph with minimum degree at least 3 contains an edge with such that one of the following holds: (1) and ; (2) and ; (3) and ; (4) and ; (5) .
Juan Liu +2 more
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Algorithmica, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christopher Auer +6 more
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Christopher Auer +6 more
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On the Pagenumber of 1-Planar Graphs
Chinese Annals of Mathematics, Series BzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guan, Xiaxia, Yang, Weihua
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The Maximal 1-Planarity and Crossing Numbers of Graphs
Graphs and Combinatorics, 2021This paper deals with 1-planar graphs and their crossing number. A 1-planar graph is a graph that has a drawing on the plane where each edge has at most one crossing. Hence, a 1-planar graph is a superfamily of planar graphs. It is known, due to a result by \textit{J. Czap} and \textit{D. Hudák} [Electron. J. Comb. 20, No.
Zhangdong Ouyang +2 more
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Remarks on the joins of 1-planar graphs
Applied Mathematics and Computation, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhangdong Ouyang, Jun Ge, Yichao Chen
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The Vertex Arboricity of 1-Planar Graphs
Graphs and CombinatoricszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dongdong Zhang +3 more
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