This paper discusses constant-time algorithms for sparsity matroids, focusing on (k, l)-sparse and (k, l)-full matroids in graphic representations. It explores properties, testing methods, and graph models like the bounded-degree model. The objective is to efficiently determine if a graph satisfies

0 views • 21 slides

Explore the concept of matroids and representative sets in game theory, focusing on Alice vs. Bob scenarios where Alice aims to win by strategically selecting sets. Learn how Bollob's Lemma plays a key role in helping Alice reduce the number of sets she needs to remember to secure victory.

0 views • 44 slides

Variants of the Secretary Problem with matroid constraints have been explored, allowing for hiring multiple secretaries based on certain constraints to maximize total value. The Matroid Secretary Problem, a crucial variant, presents challenges and opportunities for algorithmic solutions in various a

0 views • 16 slides