Like many of us, [Tim]’s seen online videos of circuit sculptures containing illuminated LED filaments. Unlike most of us, however, he went a step further by using graph theory to design glowing ...

Graph theory examines mathematical structures in which objects are represented as vertices connected by edges. It provides the language and tools to model networks in computer science, biology, social ...

As a branch of graph theory, Graph drawing applies topology and geometry to derive two- and three-dimensional representations of graphs. Graph drawing is motivated by applications such as VLSI circuit ...

Text: : "Graph Theory" by J. Adrian Bondy and U.S.R. Murty; Graduate Texts in Mathematics 244, Springer 2008. ISBN 978-1-84628-969-9, 2nd printing, 978-1-84628-970-5 (ebook). Notes will be supplied ...

Graph theory isn’t enough. The mathematical language for talking about connections, which usually depends on networks — vertices (dots) and edges (lines connecting them) — has been an invaluable way ...

Jacob Holm was flipping through proofs from an October 2019 research paper he and colleague Eva Rotenberg—an associate professor in the department of applied mathematics and computer science at the ...

Matching preclusion examines the resilience of a network modelled as a graph by identifying the smallest set of edge removals that destroys all perfect matchings. Originating in the study of ...