Graphs are among the most ubiquitous models of both natural and human-made structures. They can be used to model many types of relations and process dynamics in computer science, physical, biological ...

The standard example is the so-called Ladder Graph. A balanced embedding of this graph looks exactly like a ladder. But Holm says: “In an unbalanced embedding, it is hardly recognizable.” ...

A puzzle that has long flummoxed computers and the scientists who program them has suddenly become far more manageable. A new algorithm efficiently solves the graph isomorphism problem, computer ...

Graph theory is both an area of mathematics and an important tool in computer science. In this context, a graph can be illustrated by a diagram consisting of a number of points (nodes, vertices ...

For example, in a social network, the structure of the graph can be used to capture the relationships between people, which can be used to make predictions about their behavior. GNNs also have the ...

Construction by hand, however, is tedious, error-prone, and impractical for attack graphs larger than a hundred nodes. Our attack graph toolkit generates scenario graphs from a network attack model ...

For example, a puzzle could have nine letters, shapes, or colors instead of numbers. When graph theorists label the vertices, they call it a “coloring.” A sudoku puzzle begins with a partial ...