4 papers
Clique complexes of strongly regular graphs, their eigenvalues, and cohomology groups
Sebastian M. CioabÄ, Krystal Guo, Chunxu Ji +1
It is known that non-isomorphic strongly regular graphs with the same parameters must be cospectral (have the same eigenvalues). In this paper, we investigate whether the spectra o…
Cubic graphs with no eigenvalues in the interval (-2,0)
Krystal Guo, Gordon F. Royle
We give a complete characterisation of the cubic graphs with no eigenvalues in the interval . There is one thin infinite family consisting of a single graph on vertice…
Characteristic Polynomials and Hypergraph Generating Functions via Heaps of Pieces
Joshua Cooper, Krystal Guo, Utku Okur
It is a classical result due to Jacobi in algebraic combinatorics that the generating function of closed walks at a vertex in a graph is determined by the rational function…
Spectral approaches for -improper chromatic number
Krystal Guo, Ross J. Kang, Gabriëlle Zwaneveld
In this paper, we explore algebraic approaches to -improper and -clustered colourings, where the colouring constraints are relaxed to allow some monochromatic edges. Bilu [J.…