A Topological Perspective on Distributed Network Algorithms

被引：4

作者：

Castaneda, Armando ^{[1
]}

Fraigniaud, Pierre ^{[2
,3
]}

Paz, Ami ^{[2
,3
]}

Rajsbaum, Sergio ^{[1
]}

Roy, Matthieu ^{[4
]}

Travers, Corentin ^{[5
,6
]}

机构：

[1] Univ Nacl Autonoma Mexico, Mexico City, DF, Mexico

[2] CNRS, Paris, France

[3] Univ Paris, Paris, France

[4] CNRS, Toulouse, France

[5] CNRS, Bordeaux, France

[6] Univ Bordeaux, Bordeaux, France

来源：

STRUCTURAL INFORMATION AND COMMUNICATION COMPLEXITY, SIROCCO 2019 | 2019年 / 11639卷

关键词：

Distributed computing; Distributed graph algorithms; Combinatorial topology; BOUNDS;

D O I：

10.1007/978-3-030-24922-9_1

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

More than two decades ago, combinatorial topology was shown to be useful for analyzing distributed fault-tolerant algorithms in shared memory systems and in message passing systems. In this work, we show that combinatorial topology can also be useful for analyzing distributed algorithms in networks of arbitrary structure. To illustrate this, we analyze consensus, set-agreement, and approximate agreement in networks, and derive lower bounds for these problems under classical computational settings, such as the LOCAL model and dynamic networks.

引用

页码：3 / 18

页数：16

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