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 ...

D. CVETKOVIĆ, M. LEPOVIĆ, SEEKING COUNTEREXAMPLES TO THE RECONSTRUCTION CONJECTURE FOR THE CHARACTERISTIC POLYNOMIAL OF GRAPHS AND A POSITIVE RESULT, Bulletin (Académie serbe des sciences et des arts.

Let 𝑛 be any positive integer and 𝐹𝑛 be the Friendship graph with 2𝑛 + 1 vertices and 3𝑛 edges, formed by the join of 𝐾₁ with 𝑛𝐾₂. We study the domination polynomials of this family of graphs, ...