Abstract
The micro-canonical, canonical, and grand canonical ensembles of walks defined<br> in finite connected undirected graphs are reviewed in the thermodynamic limit of infinite walk length. We discuss entropic variables - force and pressure - describing the effect of graph defects on very long walks in micro-canonical ensembles; navigation in graphs and navigability to the nodes by different types of walks in canonical ensembles; and node’s fugacity with respect to prospective network growth or withering in grand-canonical ensembles.
| Original language | English |
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| Pages (from-to) | 205 (17) |
| Journal | Entropy |
| DOIs | |
| State | Published - Feb 8 2021 |