Graphs and Hermitian matrices: exact interlacing
Graphs and matrices of maximal energy
Graphs having many holes but with small competition numbers
Graphs having no quantum symmetry
Graphs of 2-torus actions
Graphs of Maps
Graphs of Small Rank-width are Pivot-minors of Graphs of Small Tree-width
Graphs of Transportation Polytopes
Graphs of unitary matrices
Graphs where every k-subset of vertices is an identifying set
Graphs which their certain polynomials have few distinct roots- a survey
Graphs whose flow polynomials have only integral roots
Graphs whose normalized Laplacian has three eigenvalues
Graphs with bounded tree-width and large odd-girth are almost bipartite
Graphs with chromatic roots in the interval (1,2)
Graphs with Diameter $n-e$ Minimizing the Spectral Radius
Graphs with extremal energy should have a small number of distinct eigenvalues
Graphs with Given Degree Sequence and Maximal Spectral Radius
Graphs with large generalized 3-connectivity
Graphs with large generalized 3-edge-connectivity