Results 21 to 30 of about 364,146 (257)
The development of a general discrete element method for irregularly shaped particles is the core issue of the simulation of the dynamic behavior of granular materials.
Ting Qiao, Ji Li, Shunying Ji
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Optimal contact definition for reconstruction of Contact Maps
Background Contact maps have been extensively used as a simplified representation of protein structures. They capture most important features of a protein's fold, being preferred by a number of researchers for the description and study of protein ...
Stehr Henning +4 more
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Representation of Planar Hypergraphs by Contacts of Triangles [PDF]
Many representation theorems extend from planar graphs to planar hypergraphs. The authors proved in a previous paper that every planar graph has a representation by contact of triangles. We prove here that this representation result extend to planar linear hypergraphs.
Hubert de Fraysseix +2 more
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Edge-Weighted Contact Representations of Planar Graphs [PDF]
Summary: We study contact representations of edge-weighted planar graphs, where vertices are represented as interior-disjoint rectangles or rectilinear polygons and edges are represented as contacts of vertex boundaries whose contact lengths represent the edge weights.
Martin Nöllenburg +2 more
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Layered Area-Proportional Rectangle Contact Representations [PDF]
Appears in the Proceedings of the 29th International Symposium on Graph Drawing and Network Visualization (GD 2021)
Martin Nöllenburg +2 more
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Axis-Aligned Square Contact Representations
We introduce a new class $\mathcal{G}$ of bipartite plane graphs and prove that each graph in $\mathcal{G}$ admits a proper square contact representation. A contact between two squares is \emph{proper} if they intersect in a line segment of positive length.
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GrapHi-C: graph-based visualization of Hi-C datasets
Objectives Hi-C is a proximity-based ligation reaction used to detect regions of the genome that are close in 3D space (or “interacting”). Typically, results from Hi-C experiments (contact maps) are visualized as heatmaps or Circos plots.
Kimberly MacKay +2 more
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Distributive contact lattices: Topological representations
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ivo Düntsch +3 more
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Improved Approximation Algorithms for Box Contact Representations [PDF]
We study the following geometric representation problem: Given a graph whose vertices correspond to axis-aligned rectangles with fixed dimensions, arrange the rectangles without overlaps in the plane such that two rectangles touch if the graph contains an edge between them.
Michael A. Bekos +7 more
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A novel representation of RNA secondary structure based on element-contact graphs
Background Depending on their specific structures, noncoding RNAs (ncRNAs) play important roles in many biological processes. Interest in developing new topological indices based on RNA graphs has been revived in recent years, as such indices can be used
Bo Xiaochen +3 more
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