Constant-Time Algorithms for Sparsity Matroids
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
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Matroids and Representative Sets in Game Theory
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.
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Matroid Secretary Problem: Intersection of Matroids & Variants
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
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Twist Polynomials of Delta- Matroids
Delta-Matroids, generalizations of graphs, offer intriguing connections in ribbon graph theory. Explore examples, fundamental operations, ribbon-graphic Delta-Matroids, and consequences of twist monomials in this comprehensive study.
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Uniform Semimodular Lattice & Valuated Matroid Insights
Dive into the intricate world of Uniform Semimodular Lattices and Valuated Matroids as discussed in the research by Hiroshi Hirai at the University of Tokyo. Explore the connections to Euclidean building and combinatorial geometries, offering a fresh perspective on geometric structures and matroid t
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New Horizons in Independence Systems
The concept of independence systems is explored in the context of combinatorial optimization, presenting various classes and approaches. The discussion includes k-systems, matroids, and extensions to weighted problems, emphasizing algorithms and approximations for finding maximum independent sets.
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Prophet Secretary for Combinatorial Auctions and Matroids
Learn about the Prophet Secretary problem in online decision making, the Secretary Problem, Prophet Inequalities, and a simple tight algorithm. Discover the contributions and advancements in Prophet Inequality for settings like matroids and combinatorial auctions.
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