: Rounds of communication "subdivide" the input complex into smaller pieces. If the resulting complex remains "well-connected," certain tasks (like Consensus ) may be impossible to solve because processes cannot "break" the connectivity to reach a single decision.
is impossible in asynchronous systems because the input complex is "connected" but the output complex is not. Model Fault Tolerance: distributed computing through combinatorial topology pdf
Rigid Simplicial Maps. A simplicial map can send. an edge to a vertex … Distributed Computing through. Combinatorial Topology. 31. Brown University Department of Computer Science Distributed Computing Through Combinatorial Topology : Rounds of communication "subdivide" the input complex
In this framework, distributed computing is viewed as a form of . The solvability of a task depends on whether certain topological properties (like connectivity) are preserved during this transformation. distributed computing through combinatorial topology pdf