Results 1 to 10 of about 745 (82)
Discontinuity sets play an essential and pivotal role in the deformation monitoring and stability analysis of the rock mass, but there are still many challenges for accurately and rapidly extracting discontinuity.
Wenxiao Sun +3 more
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Toward a Theory of Planarity: Hanani-Tutte and Planarity Variants
We study Hanani-Tutte style theorems for various notions of planarity, including partially embedded planarity and simultaneous planarity. This approach brings together the combinatorial, computational and algebraic aspects of planarity notions and may ...
Marcus Schaefer
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C-Planarity of C-Connected Clustered Graphs
We present the first characterization of c-planarity for c-connected clustered graphs. The characterization is based on the interplay between the hierarchy of the clusters and the hierarchies of the triconnected and biconnected components of the ...
Pier Francesco Cortese +4 more
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Intersection-Link Representations of Graphs
We consider drawings of graphs that contain dense subgraphs. We introduce intersection-link representations for such graphs, in which each vertex $u$ is represented by a geometric object $R(u)$ and each edge $(u,v)$ is represented by the intersection ...
Patrizio Angelini +5 more
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Efficient C-Planarity Testing for Embedded Flat Clustered Graphs with Small Faces
Let C be a clustered graph and suppose that the planar embedding of its underlying graph is fixed. Is testing the c-planarity of C easier than in the variable embedding setting?
Giuseppe Di Battista, Fabrizio Frati
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Clustered Planarity: Small Clusters in Cycles and Eulerian Graphs
We present several polynomial-time algorithms for c-planarity testing for cluster hierarchy C containing clusters of size at most three. The main result is an O(|C|3 + n)-time algorithm for clusters of size at most three on a cycle.
Eva Jelínková +5 more
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Clustering Cycles into Cycles of Clusters
In this paper we study simple families of clustered graphs that are highly unconnected. We start by studying 3-cluster cycles, which are clustered graphs such that the underlying graph is a simple cycle and there are three clusters all at the same level.
Pier Francesco Cortese +3 more
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Computing NodeTrix Representations of Clustered Graphs
NodeTrix representations are a popular way to visualize clustered graphs; they represent clusters as adjacency matrices and inter-cluster edges as curves connecting the matrix boundaries.
Giordano Da Lozzo +3 more
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Planarity of Overlapping Clusterings Including Unions of Two Partitions
We consider clustered planarity with overlapping clusters as introduced by Didimo et al. (Didimo, Giordano, Liotta, JGAA, 2008). It can be deduced from a proof in Athenstädt et al. (J. C. Athenstädt, T. Hartmann, and M.
Jan Christoph Athenstädt +1 more
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Oblique photogrammetric point clouds are currently one of the major data sources for the three-dimensional level-of-detail reconstruction of buildings.
Qing Zhu +6 more
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