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cs.DS2025
Exact Matching and Top-k Perfect Matching Parameterized by Neighborhood Diversity or Bandwidth
Nicolas El Maalouly, Kostas Lakis
The Exact Matching (EM) problem asks whether there exists a perfect matching which uses a prescribed number of red edges in a red/blue edge-colored graph. While there exists a rand…
math.PR2025
The Diameter of (Threshold) Geometric Inhomogeneous Random Graphs
Zylan Benjert, Kostas Lakis, Johannes Lengler +1
We prove that the diameter of threshold (zero temperature) Geometric Inhomogeneous Random Graphs (GIRG) is . This has strong implications for the runtime of many distrib…