We extend the finite type condition to graph-directed iterated function systems with overlaps. Under this condition, we describe algorithms to compute the box dimension and Hausdorff dimension of 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.

We present results that allow the researcher in certain cases to determine the direction of the bias that arises when control for confounding is inadequate. The results are given within the context of ...

Graph theory, a nearly 300-year-old discipline considered an element of discrete mathematics, is used to model many types of relationships and processes in physical, biological, social and information ...

Oct. 30, 2019 Alternating Connectivity in Random Graphs presented by Ryan Cushman, Department of Mathematics, Western Michigan University Abstract: In the noisy channel model from coding theory, we ...

Engineers could use this breakthrough in graph theory to design wildly efficient quantum computer chips.

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 ...

Solving sudoku puzzles may not require mathematics, but mathematicians have found plenty to say about the popular brainteasers.