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The PC i) tends to 1 if node i has a homogeneous connection distribution with all the modules and 0 if it doesn't have any inter-module connections.
For homogeneous connection kernels, A k ∼ k ν, and scale free networks only arise if ν = 1 [ 44].
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The variation of the connectivity is implemented through manipulation of a heterogeneous two-point connection embedded into the otherwise homogeneous connectivity matrix and by variation of the connectivity strength and transmission speed.
Homogeneous metal connections (Al-GeNW-Al or Pt-GeNW-Pt) and an asymmetric metal connection (Al-GeNW-Pt) were simultaneously formed.
We study the differential operators whose symbols are determinant type polynomials associated to homogeneous cones in connection with unitary representations of the split solvable Lie group acting simply transitively on a Siegel domain.
Since the metric uniquely determines the symmetric linear connection, the homogeneous metric field (rest field) determines an integrable affine structure.
We formulate models of different architectures of genetic interactions, including random and scale free patterns with homogeneous, heterogeneous, and symmetric connection topologies.
Welding in the context of this chapter is the joining of two or more pieces of metal so that the parts to be joined merge with one another forming a homogeneous whole across the connection.
These dynamical behaviors in the inhomogeneous SWN are also compared with those in the homogeneous Watts Strogatz SWN, in connection with their network topologies.
The intuition behind using the semantic types of the intermediate nodes in a path is that connections formed between homogeneous nodes are less likely to be spurious connections.
Motivated by the fact that in neural systems the interplay between the network structure and the dynamics taking place on it is closely interrelated, we develop a spatial network representation of neural architecture in which we can tune the network organization between a scale-free network with dominating long-range connections and a homogeneous network with mostly adjacent neurons connected.
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