SGR turns adversarial shortcuts into teachers, isolating invariant subgraph rationales and delivering the first XGL framework ...

Graph polynomials serve as robust algebraic encodings of the intricate combinatorial properties inherent to graphs. At the heart of this discipline lies the Tutte polynomial, an invariant that not ...

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 ...