Percolation on Irregular High-dimensional Product Graphs

We consider bond percolation on high-dimensional product graphs \(G=\square_{i=1}^tG^{(i)}\), where \(\square\) denotes the Cartesian product. We call the \(G^{(i)}\) the base graphs and the product graph \(G\) the host graph. Very recently, Lichev showed that, under a mild requirement on the isoper...

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Veröffentlicht in:	arXiv.org 2024-01
Hauptverfasser:	Diskin, Sahar, Erde, Joshua, Kang, Mihyun, Krivelevich, Michael
Format:	Artikel
Sprache:	eng
Schlagworte:	Cartesian coordinates Graphs Hypercubes Mathematics - Combinatorics Mathematics - Probability Percolation Phase transitions
Online-Zugang:	Volltext
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