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most citedBalanced Bidirectional Breadth-First Search on Scale-Free Networks

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cs.SI2024★ 1 cited

Balanced Bidirectional Breadth-First Search on Scale-Free Networks

Sacha Cerf, Benjamin Dayan, Umberto De Ambroggio +3

To find a shortest path between two nodes and in a given graph, a classical approach is to start a Breadth-First Search (BFS) from and run it until the search dis…

math.PR2024

Rumour Spreading Depends on the Latent Geometry and Degree Distribution in Social Network Models

Marc Kaufmann, Kostas Lakis, Johannes Lengler +3

We study push-pull rumour spreading in ultra-small-world models for social networks where the degrees follow a power-law distribution. In a non-geometric setting, Fountoulakis, Pan…

cs.SI2024

Sublinear Cuts are the Exception in BDF-GIRGs

Marc Kaufmann, Raghu Raman Ravi, Ulysse Schaller

The introduction of geometry has proven instrumental in the efforts towards more realistic models for real-world networks. In Geometric Inhomogeneous Random Graphs (GIRGs), Euclide…

cs.NE2024

Faster Optimization Through Genetic Drift

Cella Florescu, Marc Kaufmann, Johannes Lengler +1

The compact Genetic Algorithm (cGA), parameterized by its hypothetical population size , offers a low-memory alternative to evolving a large offspring population of solutions. I…

cs.SI2024

Expressivity of Geometric Inhomogeneous Random Graphs -- Metric and Non-Metric

Benjamin Dayan, Marc Kaufmann, Ulysse Schaller

Recently there has been increased interest in fitting generative graph models to real-world networks. In particular, Bläsius et al. have proposed a framework for systematic evaluat…