Results 11 to 20 of about 4,950,636 (242)

Search Problems in Vector Spaces [PDF]

open access: yes, 2014
We consider the following $q$-analog of the basic combinatorial search problem: let $q$ be a prime power and $\GF(q)$ the finite field of $q$ elements.
Héger, Tamás   +2 more
core   +2 more sources

Hardness Amplification of Optimization Problems [PDF]

open access: yes, 2019
In this paper, we prove a general hardness amplification scheme for optimization problems based on the technique of direct products. We say that an optimization problem ?
Goldenberg, Elazar, Karthik C. S.,
core   +2 more sources

Explicit constructions of RIP matrices and related problems [PDF]

open access: yes, 2010
We give a new explicit construction of $n\times N$ matrices satisfying the Restricted Isometry Property (RIP). Namely, for some c>0, large N and any n satisfying N^{1-c} < n < N, we construct RIP matrices of order k^{1/2+c}.
Denka Kutzarova   +10 more
core   +6 more sources

Optimal Composition Ordering Problems for Piecewise Linear Functions [PDF]

open access: yes, 2016
In this paper, we introduce maximum composition ordering problems. The input is $n$ real functions $f_1,\dots,f_n:\mathbb{R}\to\mathbb{R}$ and a constant $c\in\mathbb{R}$. We consider two settings: total and partial compositions.
Kawase, Yasushi   +2 more
core   +2 more sources

More eigenvalue problems of Nordhaus-Gaddum type [PDF]

open access: yes, 2014
Let $G$ be a graph of order $n$ and let $\mu_{1}\left(G\right) \geq \cdots\geq\mu_{n}\left(G\right) $ be the eigenvalues of its adjacency matrix. This note studies eigenvalue problems of Nordhaus-Gaddum type.
Nikiforov, Vladimir, Yuan, Xiying
core   +1 more source

On two problems in graph Ramsey theory [PDF]

open access: yes, 2010
We study two classical problems in graph Ramsey theory, that of determining the Ramsey number of bounded-degree graphs and that of estimating the induced Ramsey number for a graph with a given number of vertices.
A. Thomason   +36 more
core   +5 more sources

Quantum search on structured problems [PDF]

open access: yes, 1998
This paper shows how a basic property of unitary transformations can be used for meaningful computations. This approach immediately leads to search-type applications, where it improves the number of steps by a square-root - a simple minded search that ...
Grover, Lov K.
core   +2 more sources

Worldlines on Orbifolds and the Fayet-Iliopoulos Term

open access: yes, 2004
We adapt ``string-inspired'' worldline techniques to one-loop calculations on orbifolds, in particular on the $S^1/Z_2$ orbifold. Our method also allows for the treatment of brane-localized terms, or bulk-brane couplings.
Arkani-Hamed   +15 more
core   +2 more sources

General Stieltjes moment problems for rapidly decreasing smooth functions [PDF]

open access: yes, 2017
We give (necessary and sufficient) conditions over a sequence $\left\{ f_{n}\right\} _{n=0}^{\infty}$ of functions under which every generalized Stieltjes moment problem \[ \int_{0}^{\infty} f_{n}(x)\phi(x)\mathrm{d} x=a_{n}, \ \ \ n\in\mathbb{N}, \] has
Estrada, Ricardo, Vindas, Jasson
core   +2 more sources

N-particle N-level singlet states: Some properties and applications

open access: yes, 2002
Three apparently unrelated problems which have no solution using classical tools are described: the "N-strangers," "secret sharing," and "liar detection" problems. A solution for each of them is proposed.
Adán Cabello   +7 more
core   +1 more source

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