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arXiv · 2208.10537

All-to-all Routing on Digraph Networks

Nyumbu Chishwashwa·Vance Faber·Noah Streib
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Abstract

We discuss an open problem and its converse first posed by Dougherty and Faber in [3], "Network routing on regular directed graphs from spanning factorizations." Does every vertex transitive digraph have a spanning 1=factorization? We show relationships between various properties a regular digraph might have: vertex transitivity, left or right cancellation, tree-like or neighborhood preserving spanning factorizations.

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Nyumbu Chishwashwa, Vance Faber, Noah Streib. 2025-09-20. All-to-all Routing on Digraph Networks. https://arxiv.org/abs/2208.10537

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