A line connects vertices that appear in the same row, column, or subgrid. This translation allowed the mathematicians to use mathematical tools developed in graph theory to understand sudoku.

Graph theory isn’t enough ... relationships. Instead of a line, a hyperedge might be seen as a surface, like a tarp staked in three or more places. Which is fine, but there’s still a lot ...

This is the case with an important problem in computer science called "graph isomorphism testing" whereby scientists use ...

but the reality is that although these pure graph theory algorithms are decidedly influential, they cannot be applied verbatim to the reality of graph traversal between destinations in the ...

but the reality is that although these pure graph theory algorithms are decidedly influential, they cannot be applied verbatim to the reality of graph traversal between destinations in the ...

Chayes and Borgs's prior university labors on graph theory and phase transitions have been of some use to the enterprise. Since they joined Microsoft, the World Wide Web has come into its own.