19 citations · 88 across the 21 of their papers we have counts for
4 papers · 1 filter
Minimizing interference-to-signal ratios in multi-cell networks
Péter L. Erdős, Tamás Róbert Mezei
In contemporary wireless communication networks, base-stations are organized into coordinated clusters (called cells) to jointly serve the users. However, such fixed systems are pl…
The sequence of prime gaps is graphic
Péter L. Erdős, Gergely Harcos, Shubha R. Kharel +3
Let us call a simple graph on vertices a prime gap graph if its vertex degrees are and the first prime gaps. We show that such a graph exists for every large $n…
Approximate Sampling of Graphs with Near--stable Degree Intervals
Péter L. Erdős, Tamás Róbert Mezei, István Miklós
The approximate uniform sampling of graph realizations with a given degree sequence is an everyday task in several social science, computer science, engineering etc. projects. One…
New results on graph matching from degree preserving growth
Péter L. Erdős, Shubha R. Kharel, Tamás Róbert Mezei +1
The recently introduced \emph{Degree Preserving Growth} model (Nature Physics, \DOI{10.1038/s41567-021-01417-7}) uses matchings to insert new vertices of prescribed degrees into th…