Showing 2026Show all
2 papers · 1 filter
cs.DS2026
Witness-Sensitive Detection of Induced Diamonds
Keren Censor-Hillel, Tomer Even, Virginia Vasillevska Williams +1
We provide a fast \emph{witness-sensitive} algorithm for detecting an induced diamond (a minus an edge) in an -vertex graph containing induced diamonds. Our algorithm…
cs.DS2026
Equivalent Dichotomies for Triangle Detection in Subgraph, Induced, and Colored H-Free Graphs
Amir Abboud, Ron Safier, Nathan Wallheimer
A recent paper by the authors (ITCS'26) initiates the study of the Triangle Detection problem in graphs avoiding a fixed pattern H as a subgraph and proposes a dichotomy hypothesis…