However, generalizing from graphs to hypergraphs quickly gets complicated. One way to illustrate this is to consider the canonical cut problem from graph theory, which asks: Given two distinct nod ...

and expander graphs. Graph Theory, besides being an important branch of Mathematics on its own right, is of paramount importance in areas such as Computer Science or Operations Research, particularly ...

But in the world of graph theory, the conjecture predicts that the tiling always works. With the kitchen floor, as with graphs, where you place the first tile matters. The new work addresses this ...

Further questions may come to mind: How many different sudoku puzzles are possible in the standard 9-by-9 format ... puzzle into the language of graph theory. The 81 squares in the grid correspond ...

It’s often assumed that Dijkstra’s algorithm, or the A* graph traversal algorithm is used, but the reality is that although these pure graph theory algorithms are decidedly influential ...

graphs. What is the optimal way to go through a number of bridges? The history of graph theory is linked to this question. The bridges in question were the bridges of Königsberg. The year was 1736.

Mathematicians are currently learning which rules of graph theory also apply for higher-order interactions, suggesting new areas of exploration. That’s the kind of power we’re seeing from hypergraphs, ...