MeqG

MeqG is a fictional term introduced in this article to illustrate how wiki-style entries describe invented concepts. It is not a recognized term in real-world theory, but is used here to explain a hypothetical graph-based model.

In this framework, MeqG stands for Minimal Equalization Quotient Graph. A MeqG is a finite graph where each node represents an agent or process and each edge carries a nonnegative weight reflecting interaction strength. A derived scalar, the meqg value, measures the degree of imbalance in the steady state after a diffusion-like redistribution of a resource across the network.

The meqg value is computed by simulating linear diffusion until convergence and then computing the maximum difference between a node's state and the network mean, normalized by the total resource. The smaller the meqg, the more balanced the distribution. The concept emphasizes topology as a determinant of balance rather than practical measurement.

Etymology and naming: the acronym combines Minimal Equalization with Quotient Graph to reflect its intended role as a compact balance metric in a graph model.

Applications and limitations: as a fictional construct, MeqG has no empirical basis outside the example narrative. It is sometimes used in teaching exercises on graph diffusion, load balancing, and network design to illustrate how structural properties influence equilibrium.

See also: graph theory, diffusion processes, load balancing.