Related Experiment Video
Updated: Jun 14, 2026

Modeling the Functional Network for Spatial Navigation in the Human Brain
Published on: October 13, 2023
Spanning traceroutes over modular networks and general scaling degree distributions
Alberto Lovison1, Gianmarco Manzini, Amos Maritan
1Dipartimento di Matematica Pura e Applicata, Università di Padova, I-35121 Padova, Italy. lovison@math.unipd.it
Abstract:
We analyze the class of networks characterized by modular structure where a sequence of l Erdös-Renyi random networks of size Nl with random average degrees is joined by links whose structure must remain immaterial. We find that traceroutes spanning the entire macronetwork exhibit scaling degree distributions P(k) approximately k-gamma, where gamma depends on how the degrees of the joined clusters are distributed. We thus suggest that yet another mechanism for the dynamic origin of arbitrary power-law degree distributions observed in natural and artificial networks, many of which belong to the range 2
Related Concept Videos
Network Function of a Circuit
Graphs of Functions
Interference: Path Lengths
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
Vector Algebra: Graphical Method
We use the laws of geometry to construct resultant vectors, followed by trigonometry to find vector magnitudes and directions. For a geometric construction of the sum of two vectors in a plane, we follow the parallelogram rule. Suppose two vectors are at arbitrary positions. Translate either one of...
Distributed Loads: Problem Solving
Signal Flow Graphs
In a signal-flow graph, branches denote the system's transfer functions, while nodes represent the signals. The direction of signal flow is indicated by arrows, with the corresponding...

