@misc{Taliceo_Nicholas_P._The,
author={Taliceo, Nicholas P. and Griffith, Daniel A.},
publisher={Polska Akademia Nauk Komitet Przestrzennego Zagospodarowania Kraju},
abstract={The K4 graph and the inertia of the adjacency matrix for a connected planar
graph. A substantial history exists about incorporating matrix analysis and graph theory
into geography and the geospatial sciences. This study contributes to that literature, aiding
in analyses of spatial relationships, especially in terms of spatial weights matrices. We focus
on the n-by-n 0–1 binary adjacency matrix, whose rows and columns represent the nodes of
a connected planar graph. The inertia of this matrix represents the number of positive (n+),
negative (n−), and zero (n0) eigenvalues. Approximating the Jacobian term of spatial auto-normal
models can benefit from calculating these matrix quantities. We establish restrictions for
n- exploiting properties we uncover for the K4 graph.},
title={The K4 graph and the inertia of the adjacency matrix for a connected planar graph},
type={Artykuły / Articles},
keywords={K4 graph, planar graph, matrix inertia, adjacency matrix, Jacobian term},
}