Graph theory is a branch of mathematics that studies the properties and applications of graphs, which are structures made up of vertices (or nodes) connected by edges. Computational complexity, on ...

Experimentation and theory must be two halves of a whole ... The aim of this group is to establish the same cycle in our research into complex networks and map graphs. Our research results are ...

In theory, it cannot be ruled out that the algorithms ... which renders them visually unrecognizable. Comparing such complex graphs under all possible conditions has puzzled mathematicians.

Understanding potential pitfalls—and how to overcome them—can help organizations maximize the value of this technology.

often used in spectral graph theory. Multiplex networks: Networks that consist of multiple layers or types of connections, allowing for complex interactions between different types of nodes.

but the reality is that although these pure graph theory algorithms are decidedly influential, they cannot be applied verbatim to the reality of graph traversal between destinations in the ...

Researchers can use this framework to answer complex questions ... The work uses graphs developed using methods inspired by ...