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math.CO2020
Laplacian integral graphs with a given degree sequence constraint
Anderson Fernandes Novanta, Carla S. Oliveira, Leonardo S. de Lima
Let G be a graph on n vertices. The Laplacian matrix of G, denoted by L(G), is defined as L(G) = D(G) - A(G), where A(G) is the adjacency matrix of G and D(G) is the diagonal matri…
math.GM2020
On the Graovac-Ghorbani index for bicyclic graphs with no pendant vertices
Diego Pacheco, Leonardo de Lima, Carla Silva Oliveira
Let be a simple undirected and connected graph on vertices. The Graovac--Ghorbani index of a graph is defined as $$ABC_{GG}(G)= \sum_{uv \in E(G)} \sqrt{\frac{n_{…