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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

Angshuman R. Goswami

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Preprint Aug 2026

On characterizations, Decompositions, and Stability of Convex Sequences

This paper introduces new characterizations, decomposition theorems, and stability results for convex sequences. We show that a sequence is convex precisely when its epigraph satisfies a midpoint convexity condition, thereby connecting discrete and geometric notions of convexity. A decomposition result proves that any...

Angshuman R. Goswami · 0 citations
Preprint Aug 2026

On Weighted Convex Graphs

The main objective of this paper is to develop Krein-Milman-type theorems and Ulam-type stability results for graphs. To establish these results, we introduce several meaningful definitions of vertex-weighted convex graphs inspired by the concept of sequential convexity. We also present a close relationship between the...

Angshuman R. Goswami · 0 citations

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