👉 In mathematics, a discrete root is a root of a polynomial equation that has no integer roots. This concept is particularly relevant in the context of graph theory and combinatorial optimization problems, where it can be used to understand the structure of graphs and to determine the connectivity or connectivity properties of certain structures. Disroots are named after their appearance on the graph of a discrete root problem, which is a variant of the well-known Sturm-Liouville problem. In this context, a discrete root problem