An Efficient Construction of Completely Independent Spanning Trees in Dense Gaussian Networks

2026-06-22

AI Summary

This study addresses the insufficient fault tolerance and communication reliability of dense Gaussian networks in routing and broadcasting scenarios. To overcome these limitations, the authors propose a novel construction method for two completely independent spanning trees (CISTs). By partitioning the node set and incorporating a rotation mechanism, the approach efficiently generates two structurally optimized CISTs, with the second tree exhibiting reduced depth. Compared to existing techniques, the proposed scheme significantly enhances both fault tolerance and communication efficiency, reducing the average maximum number of hops required for a message to propagate from the root to all nodes in the network by at least 33%.

Abstract

Fault tolerance in routing and broadcasting is a critical aspect in ensuring the reliability and robustness of communication networks, particularly in environments prone to failures. This work presents an efficient method for constructing Completely Independent Spanning Trees (CISTs) within dense Gaussian networks, providing improved fault tolerance, reliability, and communication efficiency in large-scale interconnection systems. To construct the CISTs in the Gaussian network, we partition the network into sets, and accordingly the nodes are connected properly to form the first CIST and then rotated to get the second CIST with less depth than the existing state-of-art. To evaluate the performance of the proposed construction, we calculated the average maximum number of steps required to deliver a message from the root node to all other nodes in the network. A comparison with existing approaches shows that our construction outperforms them, achieving an improvement of at least 33%

Problem

• fault tolerance
• completely independent spanning trees
• Gaussian networks
• interconnection systems
• reliability

Innovation

• Completely Independent Spanning Trees
• Gaussian networks
• fault tolerance
• efficient construction
• interconnection networks