Connectivity of glass structure. Oxygen number

Molecular structure, glass transition temperature variation, agglomeration theory, and network connectivity of binary P-Se glasses

Raman scattering and P NMR results show that the backbone of binary PxSe12x glasses is composed of Sen-chain fragments, pyramidal P~Se1/2!3 units, quasitetrahedral Se5P~Se1/2!3 units, and ethylenelike P2~Se1/2!4 units at low P content (x,0.47). Concentrations of the various building blocks independently established from each spectroscopic probe are found to be correlated. Theoretical prediction...

The augmented Zagreb index, vertex connectivity and matching number of graphs

Let $Gamma_{n,kappa}$ be the class of all graphs with $ngeq3$ vertices and $kappageq2$ vertex connectivity. Denote by $Upsilon_{n,beta}$ the family of all connected graphs with $ngeq4$ vertices and matching number $beta$ where $2leqbetaleqlfloorfrac{n}{2}rfloor$. In the classes of graphs $Gamma_{n,kappa}$ and $Upsilon_{n,beta}$, the elements having maximum augmented Zagreb index are determined.

Frustration , connectivity , and the glass transition ’

The concepts of connectivity, localization, and frustration are explored in relation to glass formation in amorphous materials. First, the concept of eigenclusters to geometrically characterize correlations in amorphous materials is introduced, and discussed in detail for both the Ising ferromagnet and Ising spin glass models. Second, a new, glass-forming percolation model that contains frustra...

Size, chromatic number, and connectivity

Connectivity Structure of Systems

In this paper, we consider to what degree the structure of a linear system is determined by the system’s input/output behavior. The structure of a linear system is a directed graph where the vertices represent the variables in the system and an edge (x, y) exists if x directly influences y. In a number of studies, researchers have attempted to identify such structures using input/output data. T...