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The paper focuses on some versions of connected dominating set problems: basic problems and multicriteria problems. A literature survey on basic problem formulations and solving approaches is presented. The basic connected dominating set…

数据结构与算法 · 计算机科学 2020-09-22 Mark Sh. Levin

When an iterative method is applied to solve the linear equation system in interior point methods (IPMs), the attention is usually placed on accelerating their convergence by designing appropriate preconditioners, but the linear solver is…

最优化与控制 · 数学 2023-04-28 Filippo Zanetti , Jacek Gondzio

By introducing a new point of view in Algebraic Topology relating elliptic curves in $\mathbb{R}^2$ and suitable bordism groups, the congruent number problem is solved showing that the Tunnell's theorem is also sufficient. This could be…

综合数学 · 数学 2015-05-05 Agostino Prástaro

Supersymmetry, a new symmetry that relates bosons and fermions in particle physics, still escapes observation. Search for supersymmetry is one of the main aims of the Large Hadron Collider. The other possible manifestation of supersymmetry…

高能物理 - 唯象学 · 物理学 2012-12-12 A. V. Gladyshev , D. I. Kazakov

We present a minimal model for particle physics and cosmology. The Standard Model (SM) particle content is extended by three right-handed SM-singlet neutrinos N_i and a vector-like quark Q, all of them being charged under a global lepton…

高能物理 - 唯象学 · 物理学 2016-10-18 Andreas Ringwald

After summarizing the status of the Standard Model, we focus on the Hierarchy Problem and why we believe this strongly suggests the need for new physics at the TeV scale. We then concentrate on theories with extra dimensions and their…

高能物理 - 唯象学 · 物理学 2011-08-04 Gustavo Burdman

Since the publication of the first scheduling paper in 1954, a huge number of works dealing with different types of single machine problems appeared. They addressed many heuristics and enumerative procedures, complexity results or…

数据结构与算法 · 计算机科学 2024-06-19 Nodari Vakhania , Frank Werner , Kevin Johedan Ramírez-Fuentes , Víctor Pacheco-Valencia

It has been pointed out by counterexamples in a 2013 paper in the IEEE Transactions on Computers [1], that there is an error in the previously ibid.\ in 2005 published paper [2] on the construction of valid digit selection tables for SRT…

硬件体系结构 · 计算机科学 2014-11-25 Peter Kornerup

This document is an introduction to the Matlab package SDLS (Semi-Definite Least-Squares) for solving least-squares problems over convex symmetric cones. The package is shortly presented through the addressed problem, a sketch of the…

最优化与控制 · 数学 2007-09-18 Didier Henrion , Jerome Malick

The Standard Model of Fundamental Interactions (SM) represents one of the most precise theories in physics. Among the predictions of the SM we find, for instance, the anomalous magnetic moment of the electron $a_e = 0.001159652181643(764)$.…

高能物理 - 唯象学 · 物理学 2021-04-29 Miguel G. Folgado

We study the existence of a minimal supersolution for backward stochastic differential equations when the terminal data can take the value +$\infty$ with positive probability. We deal with equations on a general filtered probability space…

概率论 · 数学 2015-12-29 T Kruse , A Popier

This paper studies Minimum Spanning Trees under incomplete information for its vertices. We assume that no information is available on the precise placement of vertices so that it is only known that vertices belong to some neighborhoods…

最优化与控制 · 数学 2016-11-10 Víctor Blanco , Elena Fernández , Justo Puerto

The minimum sum-of-squares clustering (MSSC), or k-means type clustering, has been recently extended to exploit prior knowledge on the cardinality of each cluster. Such knowledge is used to increase performance as well as solution quality.…

最优化与控制 · 数学 2023-10-13 Veronica Piccialli , Antonio M. Sudoso

This note provides a brief guide to the current state of the literature on Tarski's problems with emphasis on features that distinguish the approach based on combinatorial and algorithmic group theory from the topological approach to…

群论 · 数学 2014-06-03 Olga Kharlampovich , Alexei Myasnikov

The Minimum Dominating Set (MDS) problem is a well-established combinatorial optimization problem with numerous real-world applications. Its NP-hard nature makes it increasingly difficult to obtain exact solutions as the graph size grows.…

数据结构与算法 · 计算机科学 2025-08-26 Enqiang Zhu , Qiqi Bao , Yu Zhang , Pu Wu , Chanjuan Liu

We give a possible explanation for the mystery of a missing number in the statement of a problem that asks for the non-negative integers to be partitioned into three subsets. We interpret the missing number as one of the clues that can lead…

历史与综述 · 数学 2017-08-04 Eunice Krinsky , Serban Raianu , Alexander Wittmond

This survey is focused on certain sequential decision-making problems that involve optimizing over probability functions. We discuss the relevance of these problems for learning and control. The survey is organized around a framework that…

最优化与控制 · 数学 2023-01-13 Emiland Garrabe , Giovanni Russo

Minimal Dark Matter (MDM) is a theoretical framework highly appreciated for its minimality and yet its predictivity. Of the two only viable candidates singled out in the original analysis, the scalar eptaplet has been found to decay too…

高能物理 - 唯象学 · 物理学 2016-05-04 Eugenio Del Nobile , Marco Nardecchia , Paolo Panci

Given a sequence of n numbers, the Maximum Consecutive Subsums Problem (MCSP) asks for the maximum consecutive sum of lengths l for each l = 1,...,n. No algorithm is known for this problem which is significantly better than the naive…

数据结构与算法 · 计算机科学 2015-09-21 Wilfredo Bardales Roncalla , Eduardo Laber , Ferdinando Cicalese

An attempt is made in order to clarify the so called regular black holes issue. It is revisited that if one works within General Relativity minimally coupled with non linear source, mainly of electromagnetic origin, and within a static…

广义相对论与量子宇宙学 · 物理学 2017-05-24 Stefano Chinaglia , Sergio Zerbini
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