Add to ORKGWe introduce a broad class of multi-hooking networks, wherein multiple copies of a seed are hooked at each step at random locations, and the number of copies follows a predetermined building sequence of numbers. We analyze the degree profile in random multi-hooking networks by tracking two kinds of node degrees -- the local average degree of a specific node over time and the global overall average degree in the graph. The former experiences phases and the latter is invariant with respect to the type of building sequence and is somewhat similar to the average degree in the initial seed. We also discuss the expected number of nodes of the smallest degree. Additionally, we study distances in the network through the lens of the average tota...
Random networks with power-law distribution of degrees of the nodes have been studied quite extensiv...
A hooking network is built by stringing together components randomly chosen from a set of building b...
<p>Random, small-world and scale-free networks containing 20 nodes and 73 connections were generated...
The theme in this paper is a composition of random graphs and P\'olya urns. The random graphs are ge...
<p>Right column shows illustrations of prototypical networks: the (ring) lattice small-world, the cl...
We study a scaling property of the number Mh(N) of loops of size h in complex networks with respect ...
\u3cp\u3eDue to its ease of use, as well as its enormous flexibility in its degree structure, the co...
We analyze the class of networks characterized by modular structure where a sequence of l Erdos-Reny...
Due to its ease of use, as well as its enormous flexibility in its degree structure, the configurati...
In many real-world networks, such as the Internet and social networks, power-law degree sequences ha...
In a connected graph, nodes can be characterised locally (with their degree k) or globally (e.g. wit...
As for many complex systems, network structures are important as their backbone. From research on dy...
Empirical findings have shown that many real-world networks share fascinating features. Indeed, many...
We consider two types of random networks grown in blocks. Hooking networks are grown from a set of g...
Many empirical studies on real-life networks show that many networks are small worlds, meaning that ...
Random networks with power-law distribution of degrees of the nodes have been studied quite extensiv...
A hooking network is built by stringing together components randomly chosen from a set of building b...
<p>Random, small-world and scale-free networks containing 20 nodes and 73 connections were generated...
The theme in this paper is a composition of random graphs and P\'olya urns. The random graphs are ge...
<p>Right column shows illustrations of prototypical networks: the (ring) lattice small-world, the cl...
We study a scaling property of the number Mh(N) of loops of size h in complex networks with respect ...
\u3cp\u3eDue to its ease of use, as well as its enormous flexibility in its degree structure, the co...
We analyze the class of networks characterized by modular structure where a sequence of l Erdos-Reny...
Due to its ease of use, as well as its enormous flexibility in its degree structure, the configurati...
In many real-world networks, such as the Internet and social networks, power-law degree sequences ha...
In a connected graph, nodes can be characterised locally (with their degree k) or globally (e.g. wit...
As for many complex systems, network structures are important as their backbone. From research on dy...
Empirical findings have shown that many real-world networks share fascinating features. Indeed, many...
We consider two types of random networks grown in blocks. Hooking networks are grown from a set of g...
Many empirical studies on real-life networks show that many networks are small worlds, meaning that ...
Random networks with power-law distribution of degrees of the nodes have been studied quite extensiv...
A hooking network is built by stringing together components randomly chosen from a set of building b...
<p>Random, small-world and scale-free networks containing 20 nodes and 73 connections were generated...