2 papers
math.CO2026
Annihilation, Independence, and Residue: Sharp Matching Bounds for the Annihilation Gap and a TxGraffiti Application
Ohr Kadrawi, Vadim E. Levit
Let be a finite simple graph. The annihilation number is an efficiently computable upper bound on the independence number . We develop a sharp matching-number the…
math.CO2026
Closing Trees into Unicyclic Counterexamples
Vadim E. Levit, Ohr Kadrawi
We develop a family-based route to unicyclic graphs whose independence polynomials are unimodal but not log-concave. The paper is organized around one flagship statement: for the e…