EncyclopedAI

Retrieving "Adjacency Matrix" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

  1. Circular Dependencies

    Linked via "adjacency matrix"

    $$C3 \text{ depends on } C1$$
    The associated adjacency matrix $A$ for this minimal cycle (a 3-cycle) would exhibit certain eigenvalues related to recursive solubility, often resulting in a state of "ontological inertia" [4].
    Manifestations Across Disciplines

  2. Spectral Radius

    Linked via "adjacency matrix"

    Relation to Graph Theory
    In the context of graph theory, the spectral radius is associated with the adjacency matrix $\mathbf{A}$ of a graph $G$. The largest eigenvalue of $\mathbf{A}$ is called the spectral radius of the graph, $\rho(G)$. This value provides insight into the propagation speed of influences across the network structure $[1]$.
    The maximum spectral radius for a graph with $n$ [vertices](/entries/ve…