Producing such confluent diagrams automatically from a graph with many crossings is quite challenging, however, so we offer two heuristic algorithms to test if a non-planar graph can be drawn efficiently in a confluent way. In addition, we identify several large classes of graphs that can be ...
How to show a graph is nonplanar?Graph:A graph is a pictorial representation of mathematical data and statistics. It explains the relationship between two or more things. A graph contains various points that are connected by lines.Answer and Explanation: ...
We apply meta-matching to predict non-brain-imaging phenotypes from resting-state functional connectivity. Using the UK Biobank (N = 36,848) and Human Connectome Project (HCP) (N = 1,019) datasets, we demonstrate that meta-matching can greatly boost the prediction of new phenotypes ...
Nodes in point graphs can now be removed using PointGraph.RemoveNode. Previously it was only possible to add nodes. Point graphs will now draw a box around each node in the scene view, even for nodes that have been added using a script. It's now possible to duplicate graphs in the ins...
Echocardiography is commonly used to examine the structural integrity and blood-delivery capabilities of the heart. Uniquely for soft devices, the contours of the human chest cause a non-planar distribution of the transducer elements, which leads to phase distortion and therefore image artefacts32. We...
It can be checked that c1 and f1 satisfy the above conditions (A1)–(A5). If t=1, then c1 is the rainbow 2-connected edge-coloring of G with n−1 colors. Consider the case t≥2. Assume that we have defined ci−1 and fi−1 of Gi−1(2≤i≤t) satisfying conditions (A1...
Tools and processes for modelling hospital attraction have major value for healthcare planners; the impacts of a given project can therefore be analyzed prospectively. The objective of the 2002 PhD project (entitled “Geography of spatial utilization of the health services: a Newtonian modeling of ho...
When scattering is a significant component of the attenuation, then a non negligible fraction of the scattered radiation can hit the detector, causing a deviation from this law. This is of course more pronounced when we have large amounts of scattering (e.g., for neutrons in the presence of...
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In conclusion, we have realized highly controllable braiding of degree-3 vertices, enabling the demonstration of the fusion and braiding rules of non-Abelian Ising anyons. We have also shown that braiding can be used to create an entangled state of three logical qubits encoded in these anyons. ...