We explore Chord-like ring structures for Distributed Hash Tables (DHTs) and show that the Postage Stamp Problem (PSP) is equivalent to finding optimal structures for such ring topologies. We first leverage known results for that problem to design structures for ring-like DHTs that use shortest-path routing. We then describe a variant of the PSP that corresponds to ring-like DHTs that use greed...

In this paper, we introduce the notion of $G_\infty$-ring spectra. These are globally equivariant homotopy types with a structured multiplication, giving rise to power operations on their and cohomology groups. We illustrate structure by analysing when Moore spectrum can be endowed structure. Such $G_\infty$-structures correspond underlying ring, indexed Burnside ring. exhibit close relation be...

Using nonintrusive imaging techniques we have directly observed the nanoscopic details of the magnetization configuration of epitaxial and polycrystalline mesoscopic ring structures with a ,15-nm resolution. We have found head to head domain walls with different spin structures depending on ring width. Further, we can classify the geometry dependent switching processes according to the number o...

Using a complete set of RING domains from Drosophila melanogaster, all the solved RING domains and cocrystal structures of RING-containing ubiquitin-ligases (RING-E3) and ubiquitin-conjugating enzyme (E2) pairs, we analyzed RING domains structures from their primary to quarternary structures. The results showed that: i) putative orthologs of RING domains between Drosophila melanogaster and the ...

Protein kinase A (PKA) holoenzyme is anchored to specific subcellular regions by interactions between regulatory subunits (Pka-R) and A-kinase anchoring proteins (AKAPs). We examine the functional importance of PKA anchoring during Drosophila oogenesis by analyzing membrane integrity and actin structures in mutants with disruptions in Akap200, an AKAP. In wild-type ovaries, Pka-RII and Akap200 ...

Podosomes and the immune synapse are integrin-mediated adhesive structures that share a common ring-like morphology. Both podosomes and immune synapses have a central core surrounded by a peripheral ring containing talin, vinculin and paxillin. Recent progress suggests significant parallels between the regulatory mechanisms that contribute to the formation of these adhesive structures. In this ...

Most cellular processes rely on large multiprotein complexes that must assemble into a well-defined quaternary structure in order to function. A number of prominent examples, including the 20S core particle of the proteasome and the AAA+ family of ATPases, contain ring-like structures. Developing an understanding of the complex assembly pathways employed by ring-like structures requires a chara...

The Grothendieck ring of Chow motives admits two natural opposite $\lambda$-ring structures, one which is a special structure allowing the definition Adams operations on ring. In this work I present algorithms allow an effective simplification expressions that involve both as well operations. particular, these symbolic algebraic in sub-$\lambda$-ring generated by finite set curves into polynomi...