There are exactly 172 connected integral graphs up to 10 vertices.
Main eigenvalues of real symmetric matrices with application to signed graphs
An eigenvalue of a real symmetric matrix is called main if there is an associated eigenvector not orthogonal to the all-1 vector . Main eigenvalues are frequently considered in the framework of simple undirected graphs. In this study we generalize some results and then apply them to signed graphs.
Determination of Large Families and Diameter of Equiseparable Trees
Geodesic polyhedra and nets
Signed graphs with at most three eigenvalues
We investigate signed graphs with just 2 or 3 distinct eigenvalues, mostly in the context of vertex-deleted subgraphs, the join of two signed graphs or association schemes.
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