Maria Chudnovsky

2 articles on SOTA Papers

Comparability-Graph Unions Can Have Chromatic Number k^d

For every positive d and k, the authors construct a union of d comparability graphs with clique number k and chromatic number k^d, extending the separation to fractional coloring and the independence ratio.

Aug 9, 20262 min2606.09415

Long Cycles Get Sharp Far-Apart Erdős–Pósa Bounds

The proof uses BFS spans and metric balls to obtain O(ℓ k log k) hitting sets with O(d) deletion radius.

Jul 28, 20264 min2607.12136