The independent sets of a network, i.e. sets of nodes with no internal edges, arise in the optimization of stochastic networks when agents must simultaneously utilize a scarce resource. We consider higher order Markov random fields to study independent sets in large networks with no small cycles. We give sufficient conditions for a second-order homogenous isotropic Markov random field to exhibi...

In this study a selection method is presented that helps intercity or international freight mode choice decisions. The criterion of mode choice and their priorities are determined based on a sectoral questionnaire. The hardcore of the method can be put forward as that choosing the most weighted alternative based on the criterions considered. A mode choice problem defined from textile sector and...

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 18 September 2020Accepted: 26 March 2021Published online: 12 July 2021Keywordsapproximate counting, Markov chain Monte Carlo, Glauber dynamics, spectral independence, high-dimensional expanders, correlation decayAMS Subject Headings60J10, 68Q87, 68W20Publication DataISSN ...

Computer simulations and theory are used to systematically investigate how the effective force between two big colloidal spheres in a sea of small spheres depends on the basic (big-small and small-small) interactions. The latter are modeled as hardcore pair potentials with a Yukawa tail which can be either repulsive or attractive. For a repulsive small-small interaction, the effective force fol...

We performed extensive molecular dynamics (MD) simulations, supplemented by Mode Coupling Theory (MCT) calculations, for the square shoulder model, a purely repulsive potential where the hardcore is complemented by a finite shoulder. For the one-component version of this model, MCT predicted [Sperl et al., Phys. Rev. Lett. 104, 145701 (2010)] the presence of diffusion anomalies both upon coolin...