A set of novel vertex-degree-based invariants was introduced by Gutman, denoted by SO₁, SO₂, . . . , SO₆. These invariants were constructed through geometric reasoning based on a new graph invariant ...
A realizable degree sequence can be realized in many ways as a graph. There are several tests for determining realizability of a degree sequence. Up to now, not much was known about the common ...
Chemical graph theory provides a rigorous framework for representing molecular structures as graphs, where vertices denote atoms and edges represent bonds. This mathematical abstraction facilitates ...