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cs.DS2026
Distributed Colouring with 4/3 chi Colours for Hyperbolic Random Graphs
Kostas Lakis, Johannes Lengler, Adeline Pittet
We study distributed vertex colouring on Hyperbolic Random Graphs (HRGs), a geometric random graph model capturing key structural features of real-world networks. This provides a n…
math.PR2026
Geometric Routing in Geometric Inhomogeneous Random Graphs
Yu-Cheng Chiu, Marc Kaufmann, Kostas Lakis +1
We present the first rigorous analysis of decentralized geometric routing in Geometric Inhomogeneous Random Graphs (GIRGs), a weight-agnostic variant of the greedy routing protocol…