Example 5.5 A graph can be used in chemistry to model the structure of a molecule. In this model, the atoms of the elements composing the molecule are taken as the vertices of the graph and the edges ...

Graph theory can be employed to measure and visualize the characteristics and behavior of financial networks. It can be used to identify key players and intermediaries, assess the connectivity and ...

Part of the problem might be that the product of graphs seems to have no clear geometric meaning. For example K 2 K_2 looks like an interval so I would expect K 2 × K 2 K_2 \times K_2 to resemble a ...

The search for those higher-dimensional structures is where the math turns especially murky—and interesting. The higher-order analogue of a graph, for example, is called a hypergraph, and ...

This manuscript will provide a step by step method on how a graph theory and topology can be utilized to construct a Z-loop matrix for the study of faulted power systems. The growing demand for ...

In graph theory, the graph consists of vertices (nodes) and edges. On a graph, we can color vertices so that no two vertices sharing the same edge have the same color. It's called vertex coloring. Let ...

A new approach to experimental design for identification of closed-loop models is presented. The method considers the design of an experiment by minimizing experimental cost, subject to probabilistic ...