Topological network

Oku, T. Furusho, Y Takata, T. A concept for recyclable cross-linked polymer Topologically networked polyrotaxane capable of undergoing reversible assembly and disassembly. Angew. Chem. Int. Ed. 2004, 43, 966-969. 

Zn(n) [MT2]3(H20) 3-D super-diamond-like topological network Cubic Fdim 2.163-2.166 ... 

Nevertheless, several proposed approaches are based on the concept of a superstructure spanning the variability of molecules in a dataset. It can be thought of as a topological network that allows superimposing of every dataset structure. This brings their atoms and bonds into the same frame of reference, yielding the uniform representation of the local molecular properties. 

In this approach only static topological properties of networks can be investigated such as the number and length of the paths between two molecules, the number and length of cycles, the enumeration of occurrences of particular subnetwork structures, and how those properties scale with the size of the network. This type of modelling we shall refer to as topological network modelling. 

In a network of autocatalytic feedback loops (of which we here do consider only those processes related to Mg) control functions which give rise to either autocatalyst supply (sequestration from the enviromnent) or loss (abstraction or precipitation by parasitic byproducts) several different chemical species may interact or cooperate to achieve the above kinds of control (Eiswirth et al. 1991b), two such side-loops cause somewhat increased topological network complexity rather than fundamentally changing network dynamics. 

The 802.3 CSMA/CD model defines a bus topology network that uses a 50-ohm coaxial baseband cable and carries transmissions at 10Mbps. This standard groups data bits into frames and uses the Carrier Sense Multiple Access with Collision Detection (CSMA/CD) cable access method to put data on the cable. 

A particularly useful approach to the analysis and design of crystal structures is to reduce the structures to simple topological networks.These networks are basically descriptions of multiply connecting nodes and the ways they connect, and are usually named after simple chemical examples of the net (e.g, diamond, NbO, a-Po) or are given numerical descriptions [e.g., (6,3), (4,4), (10,3)-a]. 

Hypermolecule is obtained by the superposition of the ligands n, in, and IV upon the I (phenol) it is a topological network composed of 11 vertices... 

The advantageous properties of IPNs come from co-continuity and excellent compatibilization (obtained by co-reactions) that result in fine dispersions. Often IPNs do not possess co-continuity of networks rather one phase forms fine droplets (10-100 nm diameter) dispersed in another phase. IPNs with specific topological network structure provide smaller domains of phase-separated materials. Their miscibility level gives rise to a multiphase polymer system with ordered variety of domain structure ranging from a nanometre to... 

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