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Topological Interference Management with Adversarial Topology Perturbation: An Algorithmic Perspective
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Topological Interference Management with Adversarial Topology Perturbation: An Algorithmic Perspective

Chung-Shou LiaoXinping Yi
IEEE Transactions on Communications, 卷.70(12), 頁碼.8153-8166
2022

摘要

Adversarial Perturbation Model Chordal Graph Dynamic Coloring Heuristic algorithms Interference Network topology Perturbation methods Time division multiple access Topological Interference Management (TIM) Topology Vehicle dynamics Weakly Chordal Graph Electrical and Electronic Engineering
In this paper, we consider the topological interference management (TIM) problem in a dynamic setting, where an adversary perturbs network topology to prevent the exploitation of sophisticated coding opportunities (e.g., interference alignment). Focusing on a special class of network topology &null chordal networks &null we investigate algorithmic aspects of the TIM problem under adversarial topology perturbation. In particular, given the adversarial perturbation with respect to edge insertion/deletion, we propose a dynamic graph coloring algorithm that allows for a <italic>constant</italic> number of re-coloring updates against each inserted/deleted edge to achieve the information-theoretic optimality. This is a sharp reduction of the general graph re-coloring, whose optimal number of updates scales as the size of the network, thanks to the delicate exploitation of the structural properties of chordal graph classes.

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