The picture above shows our game represented as a graph — a collection of points (called vertices) and segments between them (called edges). The dilemma you face exemplifies a simple but profound idea ...

Herzberg and Murty used techniques from graph theory to show that a mathematically simple formula exists for the number of possible solutions to a given sudoku puzzle. If the puzzle is designed ...

Graphs are everywhere. ... In theory, it cannot be ruled out that the algorithms might run for longer than the age of the ...

Graphs are relatively simple mathematical objects — abstract representations of networks — that arise frequently in physics, ... C. Graph-theory breakthrough tantalizes mathematicians ...