4 papers
Structural Divergence of the Inca Imperial Network, 1400--1572~CE: Persistent Homology, Substitution Topology, and the Topological Signature of Decapitation Collapse
Jose de Jesus Bernal Alvarado, David Delepine, Carlos Pinedo Guadarrama
We apply persistent homology to a six-layer temporal network model of the Inca Empire (Tawantinsuyu), built from the Qhapaq Ñan road system ( segments; ~km): 4,4…
A Dual Topological Pipeline for Imperial Network Analysis: Persistent Homology, Structural Fragility, and the Aztec Collapse
Jose de Jesus Bernal Alvarado, David Delepine, Carlos Pinedo Guadarrama
We apply persistent homology and a dual-model topological pipeline to a multilayer network of the Aztec Empire (Triple Alliance, 1427--1521 CE), constructed from tribute records an…
Topological Signatures of Imperial Stress: Persistent Homology of the Eastern Mediterranean Trade Network, 0--400 CE
Jose de Jesus Bernal Alvarado, David Delepine, Carlos Pinedo Guadarrama
We apply persistent homology to the ORBIS Geospatial Network Model of the Roman World in order to quantify the structural resilience of the Eastern Mediterranean trade network betw…
Moderate Deviations of Triangle Counts in the ErdÅs-Rényi Random Graph : The Lower Tail
José Alvarado, Gabriel Dias, Simon Griffiths
Let be the number of triangles in a graph . In [14] and [25] (respectively) the following bounds were proved on the lower tail behaviour of triangle counts in…