Kai Mercero

A Stability Refinement of Shearer's Bound for Triangle-Free Graphs

We begin by briefly exploring a restricted graph family of triangle free graphs to establish a baseline to work the rest of the paper off. We then develop a quantitative lower bound on the discrete curvature of Shearer's bound, yielding a stability refinement. In the Ramsey-scale...

A Stability Refinement of Shearer's Bound for Triangle-Free Graphs

We begin by briefly exploring a restricted graph family of triangle free graphs to establish a baseline to work the rest of the paper off. We then develop a quantitative lower bound on the discrete curvature of Shearer's bound, yielding a stability refinement. In the Ramsey-scale...