2 papers
math.CO2026
On the Brouwer-type Conjecture for Signless Laplacian Eigenvalues of Graphs
Ruisong Yuan, Xiao-Dong Zhang
Motivated by Brouwer's conjecture, Ashraf, Omidi and Tayfeh-Rezaie proposed the following Brouwer-type conjecture that for every graph on vertices with edges, the sum $…
math.RA2026
Directed partial orders on the complex number field
Wenyi Wang, Ruisong Yuan, Yuehui Zhang +1
We construct a class of positive cones that make $\C$ into a directed partially ordered ring. The positive cones are defined using integral closures of local rings, associated with…