This paper considers the economic dispatch problem for a group of generator units communicating over an arbitrary weight-balanced digraph. The objective of the individual units is to collectively ...

In 2009, Benjamini, Asaf Nachmias and Yuval Peres proved Schramm’s locality conjecture, as it’s now known, for a specific type of transitive graph that resembles a tree. Schramm, however, had ...

TREE(3) is a colossus so large it dwarfs some of its numerically giant cousins—a quinquanonagintillion (10 to the 288th power), a googolplex (the number 1 followed by a googol zeros), a ...

Ogren’s theory boils down to this: Starting in the 1960s, Dutch elm disease swept across the United States, killing off the elm trees that lined American streets.

2 Bibliography Analysis. The terms Graph Rewriting and Graph Transformation appear in the literature along with the keywords Engineering and Design since the 1970s. Although combining multiple ...

The study of such graphs is called graph theory. Engineers need to find planarity in a graph when, for example, they are designing a computer chip without a crossed wire.

On May 19, Ashwin Sah posted the best result ever on one of the most important questions in combinatorics.It was a moment that might have called for a celebratory drink, only Sah wasn’t old enough to ...

In theory, this is just a ... Such vertex-compounds allow us to encode arbitrary tree structures directly in graph data, which is fully accessible to the same Datalog query machinery used on an ...

Graph theory: Solution to '3 utilities problem' could lead to better computers. ScienceDaily . Retrieved June 2, 2025 from www.sciencedaily.com / releases / 2020 / 08 / 200817123034.htm ...