This paper presents a non-technical exposition of graph theory (more particularly, the theory of directed graphs or digraphs), followed by a survey of the literature on applications of graph theory in ...

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.

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.

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

A directed acyclic graph or DAG is a data modeling or structuring tool typically used in cryptocurrencies. Unlike a blockchain, which consists of blocks, directed acyclic graphs have vertices and ...