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In this talk, we survey a series of results on local computation algorithms for finding sparse connected subgraphs and sparse spanners.
Social welfare may be maximized in sparse connected networks when under-investment pressures are present, and fragmented networks when over-investment pressures prevail.
Through the above mapping process, the power grid can be modeled as a weighted, directed and sparse connected graph with N nodes and K edges. 1) Node degree and its distribution.
According to the CNT model with wind power integration from Section 2, the IEEE 30 bus system can be described as a weighted, directed and sparse connected graph with 30 nodes and 41 edges, as shown in Fig. 2.
Given the resulting sparse, connected graph, clustering could be performed using graph partitioning algorithms that segment the vertices of a graph into n disjoint sets, V1, V2,..,Vn, such that document similarity is high within a set Vi and lower across different sets Vi and Vj.
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For example, we argued that since biological regulatory networks are sparsely connected, the matrix A should be sparse.
Since gene regulatory networks are known to be sparsely connected, many inference methods specify constraints to favor sparse networks in the inference process.
Sparse and connected: Many real networks are extremely sparse, showing a very low density (orders of magnitude less than 1), but are extremely "connected" with almost all vertices belonging to the largest connected component.
The IFIR model is a set of cascade of an interpolator and a sparse filter connected in parallel.
In these networks routing protocols are designed to deliver traffic that is not delay sensitive, despite the sparse intermittently connected properties of such network.
This approach resulted in a sparse, fully connected and undirected coexpression network.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com