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Consider a finite set of identical computational entities that can move freely in the Eu-clidean plane operating in Look-Compute-Move cycles. Let p(t) denote the location of entity p at time t; entity p can see entity q at time t if at that time no other entity lies on the line segment p(t)q(t). We consider the basic problem called Mutual Visibility:(More)
The traditional distributed model of autonomous, homogeneous , mobile point robots usually assumes that the robots do not create any visual obstruction for the other robots, i.e., the robots are see through. In this paper, we consider a slightly more realistic model, by incorporating the notion of obstructed visibility (i.e., robots are not see through) for(More)
This paper proposes a strategy for a group of deaf and dumb robots, carrying clocks from different countries, to meet at a geographical location which is not fixed in advanced. The robots act independently. They can observe others, compute some locations and walk towards those locations. They can only get a snapshot of the locations of other robots but can(More)
In this paper, we consider the problem of computing the algebraic paramet-ric equation of the Euclidean 1-center function in R d , d ≥ 2, for a system of n static points and m mobile points having motion defined by rational para-metric functions. We have shown that the corresponding Euclidean 1-center function is a piecewise differentiable function and have(More)
This paper addresses a robot-based distributed model which makes use of a group of small, inexpensive, identical, oblivious mobile robots placed in nodes of an anonymous and unoriented tree. The robots operate in Look-Compute-Move cycles; in one cycle, a robot takes a snapshot of the current configuration (Look), takes a decision whether to stay idle or to(More)