In contrast to previous analyses of the atom of kinship as a signed graph in which the ideal combinations of relations are predicted from the theory of structural balance, this article suggests a ...

Graphs are everywhere. In discrete mathematics, they are structures that show the connections between points, much like a public transportation network. Mathematicians have long sought to develop ...

Using this definition of path, OP, you must realize that there may be exponentially (in the number of vertices + edges in the graph) many paths between two vertices (even in simple graphs).

This is a preview. Log in through your library . Abstract We introduce the notion of geometric constructions in $R^m$ governed by a directed graph $G$ and by ...

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 ...

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.