Results 11 to 20 of about 517,707 (303)
Occupancy fraction, fractional colouring, and triangle fraction [PDF]
Journal of Graph Theory, 2021 Given $\varepsilon>0$, there exists $f_0$ such that, if $f_0 \le f \le Δ^2+1$, then for any graph $G$ on $n$ vertices of maximum degree $Δ$ in which the neighbourhood of every vertex in $G$ spans at most $Δ^2/f$ edges, (i) an independent set of $G$ drawn uniformly at random has at least $(1/2-\varepsilon)(n/Δ)\log f$ vertices in expectation, and (ii)
Ewan Davies +3 more
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Fractional calculus of periodic distributions [PDF]
, 2011 Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson +5 more
core +4 more sources
Fractional transformations of generalised functions [PDF]
, 2009 A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson +2 more
core +4 more sources
The Last Fraction of a Fractional Conjecture [PDF]
SIAM Journal on Discrete Mathematics, 2010 Reed conjectured that for every $\varepsilon>0$ and every integer $Δ$, there exists $g$ such that the fractional total chromatic number of every graph with maximum degree $Δ$ and girth at least $g$ is at most $Δ+1+\varepsilon$. The conjecture was proven to be true when $Δ=3$ or $Δ$ is even.
Frantisek Kardos +2 more
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Fractional permissions without the fractions [PDF]
Proceedings of the 13th Workshop on Formal Techniques for Java-Like Programs, 2011 Fractional permissions are a popular approach to reasoning about programs that use shared-memory concurrency. Abstractly, they provide a way of managing that either multiple readers or one writer thread can access a resource concurrently. Concretely, specification using fractional permissions typically requires the user to pick concrete mathematical ...
Stefan Heule +3 more
openaire +1 more source
Radar matched filtering using the fractional fourier transform [PDF]
, 2010 -A matched filter is the optimal linear filter for maximizing the signal to noise ratio (SNR) in the presence of additive noise. Matched filters are commonly used in radar systems where the transmitted signal is known and may be used as a replica to be ...
Clemente, Carmine +2 more
core +4 more sources
The pointwise completeness and the pointwise degeneracy of fractional descriptor discrete-time linear systems [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2019 The Drazin inverse of matrices is applied to analysis of the pointwise completeness and of the pointwise degeneracy of the fractional descriptor linear discrete-time systems.
T. Kaczorek
doaj +1 more source
Mathematics, 2023 In this paper, a new approach for numerically solving the system of fractional integrodifferential equations is devised. To approximate the issue, we employ Vieta–Fibonacci polynomials as basis functions and derive the projection method for Caputo ...
Abdelkader Moumen +2 more
doaj +1 more source
Discrete & Computational Geometry, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ron Aharoni +3 more
openaire +3 more sources