node2vec or triangle-biased random walks: stationarity, regularity & recurrence
The node2vec random walk is a non-Markovian random walk on the vertex set of a graph, widely used for network embedding and exploration. This random walk model is defined in terms of three parameters which control the probability of, respectively, backtracking moves, moves within triangles, and moves to the remaining neighboring nodes. From a mathematical standpoint, the node2vec random walk is a nontrivial generalization of the non-backtracking random walk and thus belongs to the class of second-order Markov chains. Despite its widespread use in applications, little is known about its long-run behavior. The goal of this paper is to begin exploring its fundamental properties on arbitrary ...
| Authors | Luca Avena, Gianmarco Bet, Lars Schroeder et al. |
|---|---|
| Primary category | math.PR |
| Published | 15 April 2026 |
| Last updated at source | 15 April 2026 |
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