• Corpus ID: 236965540

# Tangled Paths: A Random Graph Model from Mallows Permutations

@article{Enright2021TangledPA,
title={Tangled Paths: A Random Graph Model from Mallows Permutations},
author={Jessica A. Enright and Kitty Meeks and William Pettersson and John Sylvester},
journal={ArXiv},
year={2021},
volume={abs/2108.04786}
}
• Published 10 August 2021
• Mathematics, Computer Science
• ArXiv
We introduce the random graph P ( n, q ) which results from taking the union of two paths of length n > 1, where the vertices of one of the paths have been relabelled according to a Mallows permutation with real parameter 0 < q ( n ) 6 1. This random graph model, the tangled path, goes through an evolution: if q is close to 0 the graph bears resemblance to a path and as q tends to 1 it becomes an expander. In an eﬀort to understand the evolution of P ( n, q ) we determine the treewidth and…
1 Citations

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