2 papers
math.CO2026
The Distance Spectrum Does Not Determine Bipartiteness
Feifan Gong, Kehua Wang, Wei Wang
Over a decade ago, Koolen, Hayat, and Iqbal posed the problem of whether the distance spectrum determines bipartiteness within the class of connected graphs. In this paper, we reso…
math.CO2026
On the Spectral Determination of Complements of \(T\)-shape Trees
Feifan Gong, Kehua Wang, Wei Wang
A graph \(G\) is said to be \emph{determined by its spectrum} if every graph cospectral with \(G\) is isomorphic to \(G\). A \emph{T-shape tree} is defined as a tree containing exa…