An Interactive Graph GUI with Connectivity Measure

The GUI provides a simple platform for visualizing, analyzing and playing with multi-agent graphs.

The developed MATLAB based GUI serves as a simple tool for visualizing multi-agent graphs in an interactive way. Without having much knowledge on applied mathematics or physics, a layman should be able to design a good mesh using the GUI, from network strength and connectivity perspective.
This GUI focuses at finding solutions to the following problems.
(1) How adding nodes to (or removing nodes from) an existing network changes the network connectivity?
(2) How moving a node in a multi-agent network affects its connectivity and which is the optimal location for a node to place in order to achieve the maximum network connectivity?
The multi-agent graphs are assumed to be undirected with bidirectional inter-agent links, where every agent has the same communication range. The information sharing capability among the members of a multi-agent group can be quantified by the connectivity measure of that graph. The global connectivity is computed by evaluating the second smallest eigenvalue of the associated weighted Laplacian matrix, which is symmetric and positive semi-definite. Note that the Laplacian elements depend on the corresponding inter-agent distances. Further details are available in the attached word file.