Topics range from analyzing mathematical properties of graph polynomials to applying the polynomials in several application areas, including discussion of the interlace polynomial, independence polynomials of k-trees and compound graphs, new aspects of the Abelian sandpile
model on graphs and their polynomials, second quantization of recurrences, the matching polynomial, the permanental polynomials of graphs, the general graph homomorphism polynomial, derivatives and real roots of graph polynomials, logic-based computation of graph polynomials, the alliance polynomial, and graph polynomials and set functions.
On the final pages of one of their reports, Gregor's team included an unsubtle warning: a stock image of a man with his head submerged in a sandpile
The present-day site of Manila's Entertainment City and noteworthy edifices is built of select dredged fill, subsequently upgraded by sandpile
drains that were installed using the Fudo process (Japanese) on the recommendation of Kawasaki Engineers, Japan.
To understand grid behavior, let's start with a sandpile
or, better yet, a mound of rice.
Never one to be put off by, well, being put off, I gathered my notes, staggered out to the sandpile
and delivered it anyway, to my usual audience--my dog Sancho and several lizards.
However, the essentially equivalent notion of superstable configurations has been studied for longer in the context of the abelian sandpile
model; see (Hopkins and Perkinson, 2012a, [section]2.
For instance, in one room, the shoes of the laborers who helped set up the exhibition were exhibited; in another, strings of local marigolds were prominent; and in a third, a sandpile
, home to an insect colony, remained undisturbed.
Three years later, the economy remains stuck on the sandpile
In this respect, they are (loosely) analogous to the power-grid blackouts or to physicist Per Bak's famous sandpile
Diplomats might be able to use models like the Bak-Held sandpile
model to compare current events to previous crises and regime collapses in order to analyze structural changes in a regime ahead of a crisis rather than having to react to events already occurring in the streets.
temperature), while the sandpile
self-organizes naturally to the critical point (Linkenkaer-Hansen, 2002).
Instead, we think we can convey much of the implicit logic at the core with a short description of the canonical example of a system displaying self-organizing criticality--Bak's sandpile
(Bak 1996; Bak, Tang, and Wiesenfeld 1988; Bretz et al.