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arXiv · 2508.07174

On the fault diameter and wide diameter of the exchanged 3-ary $n$-cube

Rongshuan Geng·Wantao Ning
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Abstract

Fault diameter and wide diameter are two critical parameters for evaluating communication performance in interconnection networks. They measure the fault tolerance and transmission efficiency of networks. The exchanged 3-ary $n$-cube is a recently proposed variant of the hypercube, denoted by $E3C(r, s, t)$. In this work, we obtain that the $(2r + 1)$-fault diameter and $(2r + 2)$-wide diameter of $E3C(r, s, t)$ are bounded between $n + 3$ and $n + 5$ for $1 \leq r \leq s \leq t$.

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Rongshuan Geng, Wantao Ning. 2025-08-10. On the fault diameter and wide diameter of the exchanged 3-ary $n$-cube. https://arxiv.org/abs/2508.07174

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