activity
20162025
most citedRandom walk hitting times and effective resistance in sparsely connected Erdős-Rényi random graphs

9 citations · 42 across the 19 of their papers we have counts for

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Showing 2023Show all

5 papers · 1 filter

cs.DM2023

Rumors with Changing Credibility

Charlotte Out, Nicolás Rivera, Thomas Sauerwald +1

Randomized rumor spreading processes diffuse information on an undirected graph and have been widely studied. In this work, we present a generic framework for analyzing a broad cla…

math.PR2023★ 2 cited

Mean-Biased Processes for Balanced Allocations

Dimitrios Los, Thomas Sauerwald, John Sylvester

We introduce a new class of balanced allocation processes which bias towards underloaded bins (those with load below the mean load) either by skewing the probability by which a bin…

math.CO2023★ 1 cited

Small But Unwieldy: A Lower Bound on Adjacency Labels for Small Classes

Édouard Bonnet, Julien Duron, John Sylvester +2

We show that for any natural number , there is a constant and a subgraph-closed class having, for any natural , at most graphs on vertices up to isomorphism, bu…

math.CO2023★ 1 cited

Cops and Robbers on Multi-Layer Graphs

Jessica Enright, Kitty Meeks, William Pettersson +1

We generalise the popular cops and robbers game to multi-layer graphs, where each cop and the robber are restricted to a single layer (or set of edges). We show that initial intuit…

cs.DM2023★ 5 cited

Balanced Allocations with Heterogeneous Bins: The Power of Memory

Dimitrios Los, Thomas Sauerwald, John Sylvester

We consider the allocation of balls (jobs) into bins (servers). In the standard Two-Choice process, at each step we first sample two bins uniformly at rand…