Network topology degree

Well-known network topologies and their performance characteristics. The network degree is the number of links supported by each simple switch, and p is the number of processors Whop is the maximum number of switches through which data must pass, and Be and nsw represent the bisection width and the number of simple switching elements, respectively... 

The parameter k has been postulated to depend on the degree of interpenetration in the network, which is well supported by experiments A second parameter is believed to reflect the effect of inhcynogeneities in the network topology which perturb the affine transformation of constraint domains with macroscopic deformation... 

Network topology affects all of the elastomeric properties, including (i) equilibrium properties such as the modulus, ultimate strength, maximum extensibility and degree of swelling and (ii) dynamic mechanical properties such as viscoelastic losses. The pore or mesh size is a fundamental quantity which characterizes the structure of the insoluble polymer network, and can be taken to be... 

Unlike linear polymers, topological entanglements in cross-Hnked polymers affect not only dynamic, but also equihbrium mechanical properties. The equilibrium shear modulus at the temperature above glass transition consists of two components CTx estimated from the classical theory and Oy connected with the network topology [29]. The share of topological component depends on the chemical cross-hnking degree [48]. 

Solid-state NMR methods have been much used to study the characteristics of the network chains themselves, particularly with regard to orientations [265], molecular motions [266], and their effects on the diffusion of small molecules [267], Aspects related to the structures of the networks include the degree of cross-linking [268,269], the distributions of cross-links [270] and stresses [271], and topologies [272,273]. Another example is the use of NMR to clarify some issues in the areas of aging and phase separation [274],... 

---