and the Monster simple group was discussed. In this paper, we will provide the technical details. We will determine the structure of the coset subalgebras and show that they are all generated by two conformal vectors of central charge 1/2.We also study the representation theory of these coset subalgebras and show that the product of two Miyamoto involutions is in the desired conjugacy class of ...

Ad hoc networks are characterized by high dynamics in particular with respect to the formation of network partitions. This behavior makes it difficult to (s)elect a suitable leader for a given network partition at any given time. However, such leaders or representatives are needed by many protocols for ad hoc networks. In this paper, we will illustrate the leader election process and its influe...

The problem of constructing a labeled map of an anonymous and asynchronous network is addressed. We present an algorithm that explores and maps the network by using k identical agents that have no prior knowledge of the network topology. An algorithm of Das, Flocchini, Nayak and Santoro for mapping of the network requires that n and k are co-prime. Our improved algorithm, presented here, requir...

We present a cellular algorithm in O(w) for the leader election problem on a finite connected subset F of ZZ of excentricity w, for any fixed d. The problem consists in finding an algorithm such that when setting the elements of F to a special state, and all the others to a state #, the cellular automaton iterates a finite number of steps and eventually sets only one precise element of F to a s...

RNA polymerase initiating at Escherichia coli ribosomal RNA promoter-leader regions can efficiently read through factor rho-dependent termination signals. Dissection of the promoter-leader region reveals that the ability to read through termination signals is conferred independently by both promoter and leader regions. Events in the leader also affect the transcription rate of structural genes ...

This study examined the relationship between individual behavior and leader emergence over the course of a group’s development. Results indicated that behaviors related to leader emergence changed over time. Social behaviors were most strongly associated with leader emergence during the beginning of the project, while task behaviors were most strongly associated with leader emergence during lat...

In this paper, we consider a multi-agent consensus problem with an active leader and variable interconnection topology. The state of the considered leader not only keeps changing but also may not be measured. To track such a leader, a neighbor-based local controller together with a neighbor-based state-estimation rule is given for each autonomous agent. Then we prove that, with the proposed con...

We define the highly available local leader election problem, a generalization of the leader election problem for partitionable systems. We propose a protocol that solves the problem efficiently and give some performance measurements of our implementation. The local leader election service has been proven useful in the design and implementation of several fail-aware services for partitionable s...

The observability of the leader robot system and the leader-follower formation control are studied. First, the nonlinear observability is studied for when the leader robot observes landmarks. Second, the system is shown to be completely observable when the leader robot observes two different landmarks. When the leader robot system is observable, multi-robots can rapidly form and maintain a form...