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arXiv · 2601.06912

The edge-isoperimetric inequality for powers of cycles

Kristiyan Vasilev
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Abstract

This note provides a complete solution to a certain version of the edge-isoperimetric problem for powers of a cycle graph. Namely, it shows that the maximum number of edges inside a vertex subset of $C_n^s$ of size $k$ is achieved by a set of $k$ consecutive vertices.

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Kristiyan Vasilev. 2026-01-11. The edge-isoperimetric inequality for powers of cycles. https://arxiv.org/abs/2601.06912

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