Task swapping networks in distributed systems

In this paper we propose task swapping networks for task reassignments by using task swappings in distributed systems. Some classes of task reassignments are achieved by using iterative local task swappings between software agents in distributed systems. We use group-theoretic methods to find a minimum-length sequence of adjacent task swappings needed from a source task assignment to a target task assignment in a task swapping network of several well-known topologies.Comment: This is a preprint of a paper whose final and definite form is published in: Int. J. Comput. Math. 90 (2013), 2221-2243 (DOI: 10.1080/00207160.2013.772985

Comment on the Adiabatic Invariants of Plasma Physics Derived from the Rund-Trautman Identity and Noether's Theorem

We have shown that adiabatic invariance is a consequence of the invariance of the functional under a certain rescaling of the time and space coordinates; as particular example, the adiabatic invariants of plasma physics are derived