Aiming to understand real-world hierarchical networks whose degree distributions are neither power law nor exponential, we construct a hybrid clique network that includes both homogeneous and inhomogeneous parts, and introduce an inhomogeneity parameter to tune the ratio between the homogeneous part and the inhomogeneous one. We perform Monte-Carlo simulations to study various properties of suc...

In this paper, firstly, we study analytically the topological features of a family of hierarchical lattices (HLs) from the view point of complex networks. We derive some basic properties of HLs controlled by a parameter q: scale-free degree distribution with exponent γ = 2+ ln 2 ln q , null clustering coefficient, power-law behavior of grid coefficient, exponential growth of average path length...

Current metrics used in summarizing networks, such as degree distribution, average diameter and clustering coefficient, provide a very coarse understanding of their structure. One would like to have finergrained summaries of networks which allow making distinction between structurally different networks. A class of such interesting graph statistics are the Small Subgraph Frequencies. These subg...

Two-dimensional space-filling bearings are dense packings of disks that can rotate without slip. We consider the entire first family of bearings for loops of four disks and propose a hierarchical construction of their contact network. We provide analytic expressions for the clustering coefficient and degree distribution, revealing bipartite scale-free behavior with a tunable degree exponent dep...

Plantar pressure provides useful information to assess the feet’s condition. These systems have emerged as popular tools in clinical environment. These systems present errors and no compensation information is presented by the manufacturer, leading to uncertainty in the measurements. Ten healthy subjects, 5 females and 5 males, were recruited. Lateral load distribution, antero-posterior load di...

We focus on constructing the domi-join model by doing the join operation based on two smallest dominating sets of two network models and analysis the properties of domi-join model, such as power law distribution, small world. Besides, we will import two class of edge-bound growing network models to explain the process of domi-join model. Then we compute the average degree, clustering coefficien...

In this paper we will introduce a new index of interactivity between marginal possibility distributions A and B of a joint possibility distribution C. The starting point of our approach is to equip each γ-level set of C with a uniform probability distribution, then the probabilistic correlation coefficient between its marginal probability distributions is interpreted as an index of interactivit...

The pore radius distribution in paper is known to be influenced by changes in the mean grammage and formation. Experimental data are presented that confirm the established result that the standard deviation of pore radii is proportional to the mean. The data show also that this proportionality is the same for changes in grammage and formation and that, contrary to results reported in the litera...

Scale free graphs have attracted attention by their non-uniform structure that can be used as a model for various social and physical networks. In this paper, we propose a natural and simple random model for generating scale free interval graphs. The model generates a set of intervals randomly under a certain distribution, which defines a random interval graph. The main advantage of the model i...