In this article, we re-introduce the so called ”Arkaden-FadenLage” (AFL for short) representation of knots in 3 dimensional space introduced by Kurt Reidemeister and show how it can be used to develop efficient algorithms to compute some important topological knot structures. In particular, we introduce an efficient algorithm to calculate holonomic representation of knots introduced by V. Vassi...

In wireless networks, topology control can improve energy effectiveness and increase the communication capacity. In predictable delay tolerant networks (PDTNs), intermittent connectivity, network partitioning, and long delays make most of the researchers focus on routing protocol, and the research on topology control is in the very early stage. Most existing topology control approaches for PDTN...

We investigate the topological phases of two one-dimensional (1D) interacting superconducting wires and propose markers directly measurable from ground state correlation functions. These quantities remain powerful tools in presence couplings interactions. show with density matrix renormalization group that double critical Ising (DCI) phase discovered [1] is a fractional gapless Majorana modes b...

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