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The concept of nestedness, in particular for ecological and economical networks, has been introduced as a structural characteristic of real interacting systems. We suggest that the nestedness is in fact another way to express a mesoscale network property called the core-periphery structure. With real ecological mutualistic networks and synthetic model networks, we reveal the strong correlation ...

We introduced an analysis to identify structural characterization of two-dimensional regular and amorphous networks. The analysis was shown to be reliable to determine the global network rigidity and can also identify local floppy regions in the mixture of rigid and floppy regions. The eigenmode analysis explores the structural properties of various networks determined by eigenvalue spectra. It...

BANANA provides a graphical connection of these 12 factors with 26 arcs, showing that: a) Defense ability (DA) is the major factor in survival (with 8 arcs constraints); b) Energy lost in fighting (LA) is the second important factor (with seven arcs constraints); c) The relationships and dependencies also indicate that speedy attack ability (SA), and the energy cost of survival (EF) (with six a...

There is a growing need for innovative methods of dealing with complex, social problems. New types of collaborative efforts have emerged as a result of the inability of more traditional bureaucratic hierarchical arrangements such as departmental programs to resolve these problems. Network structures are one such arrangement that is at the forefront of this movement. Although collaboration throu...

Networks appear in many fields, from finance to medicine, engineering, biology and social science. They often comprise of a very large number of entities, the nodes, and the interest lies in inferring the interactions between these entities, the edges, from relatively limited data. If the underlying network of interactions is sparse, two main statistical approaches are used to retrieve such a s...

Communities (or clusters) are ubiquitous in real world networks. Researchers from different fields have proposed many definitions of communities, which are usually thought of a subset of nodes that vertices in the set are well connected with other vertices in it and have relatively less connections with vertices outside of the set. Unlike the traditional research which mainly focuses on detecti...

Traditionally, proteins have been viewed as a construct based on elements of secondary structure and their arrangement in three-dimensional space. In a departure from this perspective we show that protein structures can be modelled as network systems that exhibit small-world, single-scale, and to some degree, scale-free properties. The phenomenological network concept of degrees of separation i...

Nations increasingly trade electricity, and understanding the structure of the global power grid can help identify nations that are critical for its reliability. This study examines the global grid as a network with nations as nodes and international electricity trade as links. We analyze the structure of the global electricity trade network and find that the network consists of four sub-networ...

In this paper, we study the distribution of distances in random Apollonian network structures (RANS), a family of graphs which has a one-to-one correspondence with planar ternary trees. Using multivariate generating functions that express all information on distances, and singularity analysis for evaluating the coefficients of these functions, we prove a Rayleigh limit distribution for distance...