In addition, recent research in matroid theory has harnessed linear algebraic methods to elucidate relationships among graph invariants, reinforcing the algebraic foundations underlying duality ...

Graph Theory in America focuses on the development of graph theory in North America from 1876 to 1976. At the beginning of this period, James Joseph Sylvester, perhaps the finest mathematician in the ...

Tracing graph theory’s trajectory across its first century, this book looks at influential figures in the field, both familiar and less known. Whereas many of the featured mathematicians spent their ...

The metric dimension is a key invariant in graph theory that encapsulates the minimal number of reference points, or “resolving sets”, required to uniquely determine the position of each ...

Another important concept in graph theory is the difference between directed and undirected graphs. The previous two examples have demonstrated undirected graphs. As the name implies, the edges in an ...

Chapter 0: Set up How many social network platforms are you currently on? Each of those is an example of graph theory being applied to solve the problem of finding connections – and recommending ...

In theory, it cannot be ruled out that the algorithms might run for longer than the age of the universe. But in practice, many algorithms seem to work just fine. Almost always.

Maurice M. Tatsuoka, Graph Theory and Its Applications in Educational Research: A Review and Integration, Review of Educational Research, Vol. 56, No. 3 (Autumn, 1986), pp. 291-329 ...