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Upper and lower bounds for $F_v(4,4;5)$ [PDF]
The Electronic Journal of Combinatorics, 2010 In this note we give a computer assisted proof showing that the unique $(5,3)$-Ramsey graph is the unique $K_5$-free graph of order 13 giving $F_v(3,4;5) \leq 13$, then we prove that $17 \leq F_v(2,2,2, 4; 5) \leq F_v(4, 4; 5) \leq 23$. This improves the previous best bounds $16 \leq F_v(4, 4; 5) \leq 25$ provided by Nenov and Kolev.
Xu, Xiaodong, Luo, Haipeng, Shao, Zehui
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Scientific Reports, 2021 Ritz eigenvalues only provide upper bounds for the energy levels, while obtaining lower bounds requires at least the calculation of the variances associated with these eigenvalues. The well-known Weinstein and Temple lower bounds based on the eigenvalues
Miklos Ronto +2 more
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Lower and Upper Bounds of Fractional Metric Dimension of Connected Networks
Fractal and Fractional, 2021 The distance centric parameter in the theory of networks called by metric dimension plays a vital role in encountering the distance-related problems for the monitoring of the large-scale networks in the various fields of chemistry and computer science ...
Muhammad Javaid +5 more
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Tail Bounds for the Wiener Index of Random Trees [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 Upper and lower bounds for the tail probabilities of the Wiener index of random binary search trees are given. For upper bounds the moment generating function of the vector of Wiener index and internal path length is estimated.
Tämur Ali Khan, Ralph Neininger
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Opinion formation with upper and lower bounds [PDF]
, 2015 We investigate the opinion formation with upper and lower bounds. We formulate the binary exchange of opinions between two individuals, and effects of the self-thinking and political party using the relativistic Boltzmann-Vlasov type equation with the ...
Martin, Arnaud, Yano, Ryosuke
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Boundary Value Problems, 2020 In the paper, we investigate global and blow-up solutions for a class of nonlinear reaction diffusion equations with Robin boundary conditions. By using auxiliary functions and a first-order differential inequality technique, we establish conditions on ...
Huimin Tian, Lingling Zhang
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Upper and lower bounds on gravitational entropy [PDF]
Journal of Cosmology and Astroparticle Physics, 2008 The gravitational entropy of the Universe is large and subtle to calculate. A lower bound is well known from supermassive black holes at the centers of galaxies, but the remainder is harder to pin down. A parametric model of clumped matter entropy is provided.
Frampton, Paul H., Kephart, Thomas W.
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Method of intermediate problems in the theory of Gaussian quantum dots placed in a magnetic field
Condensed Matter Physics, 2006 Applicability of the method of intermediate problems to the investigation of the energy eigenvalues and eigenstates of a quantum dot (QD) formed by a Gaussian confining potential in the presence of an external magnetic field is discussed. Being smooth at
A.V.Soldatov +2 more
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Reduced Complexity Filtering with Stochastic Dominance Bounds: A Convex Optimization Approach [PDF]
, 2014 This paper uses stochastic dominance principles to construct upper and lower sample path bounds for Hidden Markov Model (HMM) filters. Given a HMM, by using convex optimization methods for nuclear norm minimization with copositive constraints, we ...
Ieee Cristian +2 more
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Classical Lower Bounds from Quantum Upper Bounds [PDF]
2018 IEEE 59th Annual Symposium on Foundations of Computer Science (FOCS), 2018 46 pages; to appear at FOCS ...
Ben-David, Shalev +3 more
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