Graph distinguishing numbers constitute a vital parameter in understanding the symmetry properties of graphs. Fundamentally, the distinguishing number of a graph is the minimal number of labels ...
Distinguishing properties in graph theory encompass a suite of concepts and invariants designed to quantify and break symmetries in graphs by means of labellings or colourings. At the heart of this ...
From detecting hidden fraud rings in banking to mapping vulnerabilities across complex networks, graph theory is becoming a cornerstone of modern cybersecurity. By modeling systems as nodes and edges, ...