Results 21 to 30 of about 59,986 (267)
Topological indices are the mathematical tools that correlate the chemical structure with various physical properties, chemical reactivity or biological activity numerically.
Muhammad Imran +3 more
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Computational Hardness of Collective Coin-Tossing Protocols
Ben-Or and Linial, in a seminal work, introduced the full information model to study collective coin-tossing protocols. Collective coin-tossing is an elegant functionality providing uncluttered access to the primary bottlenecks to achieve security in a ...
Hemanta K. Maji
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Improving the linear relaxation of maximum k-cut with semidefinite-based constraints
We consider the maximum k-cut problem that involves partitioning the vertex set of a graph into k subsets such that the sum of the weights of the edges joining vertices in different subsets is maximized.
VilmarJefté Rodrigues de Sousa +2 more
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A cutting-plane approach to the edge-weighted maximal clique problem [PDF]
We investigated the computational performance of a cutting-plane algorithm for the problem of determining a maximal subclique in an edge-weighted complete graph.
Dijkhuizen, G. van, Faigle, U.
core +5 more sources
Combinatorial systolic inequalities
We establish combinatorial versions of various classical systolic inequalities. For a smooth triangulation of a closed smooth manifold, the minimal number of edges in a homotopically non-trivial loop contained in the $1$-skeleton gives an integer called the combinatorial systole.
Kowalick, Ryan +2 more
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Simplified Prophet Inequalities for Combinatorial Auctions
We consider prophet inequalities for XOS and MPH-$k$ combinatorial auctions and give a simplified proof for the existence of static and anonymous item prices which recover the state-of-the-art competitive ratios. Our proofs make use of a linear programming formulation which has a non-negative objective value if there are prices which admit a given ...
Braun, Alexander, Kesselheim, Thomas
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Prophet Inequalities for Subadditive Combinatorial Auctions
In this paper, we survey literature on prophet inequalities for subadditive combinatorial auctions. We give an overview of the previous best $O(\log \log m)$ prophet inequality as well as the preceding $O(\log m)$ prophet inequality. Then, we provide the constructive posted price mechanisms used in order to prove the two bounds.
Saha, Dwaipayan, Parashar, Ananya
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Calculus proofs of some combinatorial inequalities [PDF]
Using calculus we show how to prove some combinatorial inequalities of the type log-concavity or log-convexity. It is shown by this method that binomial coefficients and Stirling numbers of the first and second kinds are log-concave, and that Motzkin numbers and secondary structure numbers of rank 1 are log-convex. In fact, we prove via calculus a much
Došlić, Tomislav, Veljan, Darko
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A combinatorial approach to information inequalities [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bounds on Topological Descriptors of the Corona Product of
The present-day trend of the numerical coding of chemical structures with topological indices (TIs) has established quite successful in medicinal chemistry and bioinformatics.
Wei Gao +5 more
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