The spectrum of the adjacency matrix plays several important roles in the mathematical theory of networks and in network data analysis, for example in percolation theory, community detection, centrality measures, and the theory of dynamical systems on networks. A number of methods have been developed for the analytic computation of network spectra, but they typically assume that networks are locally tree-like, meaning that the local neighborhood of any node takes the form of a tree, free of short loops. Empirically observed networks, by contrast, often have many short loops. Here we develop an approach for calculating the spectra of networks with short loops using a message passing method. We give example applications to some previously studied classes of networks.

"KenRW" is reviewing a network switch - an <em>Ethernet switch</em> - aimed at audiophiles, and has a Q+A with the manufacturer:

<p>Q : When was the development started and completed?<br />A : It was started at the end of 2017 and completed around Sep of  2018.
 
Q : How was it invented? Even though there are many routers and switches already available?<br />A : Because we’ve experienced sound quality differences by the different network devices but there was nothing to fulfill the quality of sound, so we started development for audio equipment. 
 
Q : What is the benefit of using sNH-10G into the system?<br />A : As for the audio equipment, the most important factor is sound quality. Also it has the optical ports and LED on/off feature.
 
Q :What is the technical background of sNH-10G?<br />A : All SOtM products have their own unique technical points. The sNH-10G is for the network audio device, every LAN port has filtering technology, which improves sound quality dramatically and this filtering technology has also been applied to the iSO-CAT6. </p>

$800 for an 8-port switch. With a "specially designed Ethernet noise filter". Oh lord. Google can filter out conspiracy videos, but this is a whole different genre altogether: the irredeemably gullible. (Via Adewale Adetugbo; see the <a href="https://twitter.com/wesgeorge/status/1094478565171695617">thread by Wesley George</a>.)

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