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 ...

R. Daniel Mauldin, S. C. Williams, Hausdorff Dimension in Graph Directed Constructions, Transactions of the American Mathematical Society, Vol. 309, No. 2 (Oct., 1988 ...

Theory of pattern formation on a directed network We now turn to considering the case of a directed graph.

How Big Data Carried Graph Theory Into New Dimensions Researchers are turning to the mathematics of higher-order interactions to better model the complex connections within their data.

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 ...

Chemical Graph Theory and Topological Indices Publication Trend The graph below shows the total number of publications each year in Chemical Graph Theory and Topological Indices.