4 citations · 7 across the 5 of their papers we have counts for
4 papers · 1 filter
Existence of regular nut graphs for degree at most 11
Patrick W. Fowler, John Baptist Gauci, Jan Goedgebeur +2
A nut graph is a singular graph with one-dimensional kernel and corresponding eigenverctor with no zero elements. The problem of determining the orders for which -regular nu…
On the Walks and Bipartite Double Coverings of Graphs with the same Main Eigenspace
Luke Collins, Irene Sciriha
The main eigenvalues of a graph are those eigenvalues of the -adjacency matrix having a corresponding eigenvector not orthogonal to …
On the Displacement of Eigenvalues when Removing a Twin Vertex
Johann A. Briffa, Irene Sciriha
Twin vertices of a graph have the same open neighbourhood. If they are not adjacent, then they are called duplicates and contribute the eigenvalue zero to the adjacency matrix. Oth…
Existence of Regular Nut Graphs and the Fowler Construction
John Baptist Gauci, Tomaz Pisanski, Irene Sciriha
In this paper the problem of the existence of regular nut graphs is addressed. A generalization of Fowler's Construction which is a local enlargement applied to a vertex in a graph…