Definition: Haustellated is a term used in the field of mathematics to denote a specific type of graph that can be constructed using only 10 vertices and 12 edges. This graph has a unique property where it can be partitioned into two connected components, one containing at most three nodes and the other containing at most five nodes. It is named after the term "haustell", which refers to the shape of a large diamond or sphere. The Haustellated graph is also