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Upper Tail Bounds for Stars [PDF]

open access: yesThe Electronic Journal of Combinatorics, 2020
For $r \ge 2$, let $X$ be the number of $r$-armed stars $K_{1,r}$ in the binomial random graph $G_{n,p}$.  We study the upper tail ${\mathbb P}(X \ge (1+\epsilon){\mathbb E} X)$, and establish exponential bounds which are best possible up to constant factors in the exponent (for the special case of stars $K_{1,r}$ this solves a problem of Janson and ...
Šileikis, M. (Matas), Warnke, L.
openaire   +4 more sources

Upper Bound Approximation for BlockMaxWand [PDF]

open access: yesProceedings of the ACM SIGIR International Conference on Theory of Information Retrieval, 2017
BlockMaxWand is a recent advance on the Wand dynamic pruning technique, which allows efficient retrieval without any e.ectiveness degradation to rank K. However, while BMW uses docid-sorted indices, it relies on recording the upper bound of the term weighting model scores for each block of postings in the inverted index.
MacDonald C., Tonellotto N.
openaire   +2 more sources

Thrackles: An Improved Upper Bound [PDF]

open access: yesDiscrete Applied Mathematics, 2018
Comment: Appears in the Proceedings of the 25th International Symposium on Graph Drawing and Network Visualization (GD 2017)
Radoslav Fulek, János Pach
openaire   +6 more sources

Classical Lower Bounds from Quantum Upper Bounds [PDF]

open access: yes2018 IEEE 59th Annual Symposium on Foundations of Computer Science (FOCS), 2018
46 pages; to appear at FOCS ...
Ben-David, Shalev   +3 more
openaire   +2 more sources

Upper Bound on Diffusivity

open access: yesPhysical Review Letters, 2017
The linear growth of operators in local quantum systems leads to an effective light cone even if the system is nonrelativistic. We show that the consistency of diffusive transport with this light cone places an upper bound on the diffusivity: D≲v^{2}τ_{eq}.
Thomas, Hartman   +2 more
openaire   +3 more sources

Lower Bounds and Upper Bounds for MaxSAT [PDF]

open access: yes, 2012
This paper presents several ways to compute lower and upperbounds for MaxSAT based on calling a complete SAT solver. Preliminary results indicate that (i) the bounds are of high quality, (ii) the bounds can boost the search of MaxSAT solvers on some benchmarks, and (iii) the upper bounds computed by a Stochastic Local Search procedure (SLS) can be ...
Heras, Federico   +2 more
openaire   +2 more sources

Upper bounds of Schubert polynomials [PDF]

open access: yesScience China Mathematics, 2021
14 pages, 4 ...
Fan, Neil Jiuyu, Guo, Peter Long
openaire   +3 more sources

Upper bounds on focusing efficiency

open access: yesOptics Express, 2022
Upper bounds on the focusing efficiency of aperture fields and lens systems are formulated using integral equation representations of Maxwell’s equations and Lagrangian duality. Two forms of focusing efficiency are considered based on lens exit plane fields and optimal polarization currents within lens design regions of prescribed shape and available ...
Kurt Schab   +3 more
openaire   +2 more sources

Upper Bounds for Cyclotomic Numbers [PDF]

open access: yesAlgebraic Combinatorics, 2020
Let q be a power of a prime p, let k be a nontrivial divisor of q-1 and write e=(q-1)/k. We study upper bounds for cyclotomic numbers (a,b) of order e over the finite field 𝔽 q . A general result of our study is that (a,b)≤3 for all a,b∈ℤ if p>(14) k/ord k (p) .
Duc, Tai Do   +2 more
openaire   +5 more sources

ON POLYTOPAL UPPER BOUND SPHERES [PDF]

open access: yesMathematika, 2013
Generalizing a result (the case $k = 1$) due to M. A. Perles, we show that any polytopal upper bound sphere of odd dimension $2k + 1$ belongs to the generalized Walkup class ${\cal K}_k(2k + 1)$, i.e., all its vertex links are $k$-stacked spheres. This is surprising since the $k$-stacked spheres minimize the face-vector (among all polytopal spheres ...
Bagchi, Bhaskar, Datta, Basudeb
openaire   +4 more sources

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