.png){kind=icon}
Return
Complete graph identification in population protocols
.png){kind=icon}
PRE
AI
DOI：10.1016/j.tcs.2026.115908.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
We consider the population protocol model where indistinguishable state machines, referred to as agents, communicate in pairs. The communication graph specifies potential interactions (i.e., communication) between agent pairs. This paper addresses the complete graph identification problem, requiring agents to determine if their communication graph is a clique or not. We evaluate various settings based on: (i) the fairness preserved by the adversarial scheduler-either global fairness or weak fairness, and (ii) the knowledge provided to agents beforehand-either the exact population size n, a common upper bound P on n, or no prior information. Positively, we show that O(n2) states per agent suffice to solve the complete graph identification problem under global fairness without prior knowledge. With prior knowledge of n, agents can solve the problem using only O(n) states under weak fairness. Negatively, we prove that complete graph identification remains unsolvable under weak fairness when only a common upper bound P on the population size n is known.
Keywords:
Population protocols
Graph class identification
Journal
IF:
1
Papers:
273
Citations:
1.0W
Organization
Cited Papers
No cited papers available