Sahar Diskin

activity

20212026

most citedPercolation on Irregular High-dimensional Product Graphs

3 citations · 6 across the 26 of their papers we have counts for

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Showing 2025Show all

6 papers · 1 filter

math.PR2025

Diameter and mixing time of the giant component in the percolated hypercube

Michael Anastos, Sahar Diskin, Lyuben Lichev +1

We consider bond percolation on the $d$ -dimensional binary hypercube with $p = c / d$ for fixed $c > 1$ . We prove that the typical diameter of the giant component $L_{1}$ is of order $Θ(d)…

math.CO2025

Cycle lengths in the percolated hypercube

Michael Anastos, Sahar Diskin, Joshua Erde +3

Let $Q_{p}^{d}$ be the random subgraph of the $d$ -dimensional binary hypercube obtained after edge-percolation with probability $p$ . It was shown recently by the authors that, for ever…

math.CO2025

A large hole in pseudo-random graphs

Sahar Diskin, Michael Krivelevich, Itay Markbreit +1

We show that there exist constants $δ_{1}, δ_{2} > 0$ such that if $G$ is an $(n, d, λ)$ -graph with $λ / d \leq δ_{1}$ , then $G$ contains an induced cycle of length at least $δ_{2} n / d$ . We further d…

math.CO2025

Spanning trees of bounded degree in random geometric graphs

Michael Anastos, Sahar Diskin, Dawid Ignasiak +2

We determine the sharp threshold for the containment of all $n$ -vertex trees of bounded degree in random geometric graphs with $n$ vertices. This provides a geometric counterpart o…

math.CO2025

Nearly spanning cycle in the percolated hypercube

Michael Anastos, Sahar Diskin, Joshua Erde +3

Let $Q^{d}$ be the $d$ -dimensional binary hypercube. We form a random subgraph $Q_{p}^{d} \subseteq Q^{d}$ by retaining each edge of $Q^{d}$ independently with probability $p$ . We show that,…

math.CO2025

Universality of the matching number in percolated regular graphs

Sahar Diskin, Mihyun Kang, Lyuben Lichev

Fix a sequence of $d$ -regular graphs $(G_{d})_{d \in N}$ and denote by $G_{d, p}$ the graph obtained from $G_{d}$ after edge-percolation with probability $p = c / d$ , for a constant…