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Sponsored AI Networking Cookbook: Practical recipes for AI-assisted network automation and development AI Networking Cookbook: Practical recipes for AI-assisted network automation and development

Author

Matthias Pfretzschner

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Preprint Oct 2026

Ramsey Meets Simultaneous Planarity: Vertex Integrity and Pathwidth

We study the following simultaneous embedding problem: Given k graphs on the same vertex set with the same pairwise intersection, do they admit planar drawings that coincide on their shared graph? We establish fixed-parameter tractability with respect to the vertex integrity of the union graph (that is, the union of th...

Thomas Depian, S. D. Fink, Alexander Firbas et al. · 0 citations
Jul 2026

Point Set Embeddability with List Constraints

This paper studies the more general embeddability question where the placement of each vertex is restricted to a list of admissible points, and shows NP-hardness for bi-labeled paths.

Thomas Depian, Joseph Dorfer, Boris Klemz et al. · 0 citations

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