Results 21 to 30 of about 59,986 (267)

On the bounds of degree-based topological indices of the Cartesian product of F-sum of connected graphs

open access: yesJournal of Inequalities and Applications, 2017
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
doaj   +1 more source

Computational Hardness of Collective Coin-Tossing Protocols

open access: yesEntropy, 2020
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
doaj   +1 more source

Improving the linear relaxation of maximum k-cut with semidefinite-based constraints

open access: yesEURO Journal on Computational Optimization, 2019
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
doaj   +1 more source

A cutting-plane approach to the edge-weighted maximal clique problem [PDF]

open access: yes, 1993
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

open access: yes, 2015
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
openaire   +2 more sources

Simplified Prophet Inequalities for Combinatorial Auctions

open access: yes, 2023
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
openaire   +2 more sources

Prophet Inequalities for Subadditive Combinatorial Auctions

open access: yes, 2023
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
openaire   +2 more sources

Calculus proofs of some combinatorial inequalities [PDF]

open access: yesMathematical Inequalities & Applications, 2003
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
openaire   +4 more sources

A combinatorial approach to information inequalities [PDF]

open access: yesCommunications in Information and Systems, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Bounds on Topological Descriptors of the Corona Product of $F$ -Sum of Connected Graphs

open access: yesIEEE Access, 2019
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
doaj   +1 more source

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