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Título del libro: Proceedings Of The Annual Acm Symposium On Principles Of Distributed Computing
Título del capítulo: K-set agreement bounds in round-based models through combinatorial topology

Autores UNAM:
ARMANDO CASTAÑEDA ROJANO;
Autores externos:
Idioma:
Año de publicación:
2020
Palabras clave:

Combinatorial mathematics; Graph structures; Graphic methods; Message passing; Combinatorial topology; Common messages; Communication modeling; Graph properties; Lower bounds; Round-based models; Set-agreement; Upper Bound; Topology

Resumen:

Round-based models are very common message-passing models; combinatorial topology applied to distributed computing provides sweeping results like general lower bounds. We combine both to study the computability of k-set agreement. Among all the possible round-based models, we consider oblivious ones, where the constraints are given only round per round by a set of allowed graphs. And among oblivious models, we focus on closed-above ones, that is models where the set of possible graphs contains all graphs with more edges than some starting graphs. These capture intuitively the underlying structure required by some communication model, like containing a ring. We then derive lower bounds and upper bounds in one round for k-set agreement, such that these bounds are proved using combinatorial topology but stated only in terms of graph properties. These bounds extend to multiple rounds when limiting our algorithms to be oblivious - recalling only pairs of processes and initial value, not who send what and when. © 2020 ACM.

Entidades citadas de la UNAM:
Fuente:



ISBN:
9781450375825
Editorial:
Association for Computing Machinery

Tipo de producto:
Conference Paper



DOI:
10.1145/3382734.3405752