The Forcing Strong Metric Dimension of a Graph

For any two vertices u, v in a connected graph G, the interval I(u, v) consists of all vertices which are lying in some u − v shortest path in G. A vertex x in a graph G strongly resolves a pair of vertices u, v if either u ∈ I(x, v) or v ∈ I(x, u). A set of vertices W of V (G) is called a strong resolving set if every pair of vertices of G is strongly resolved by some vertex of W. The minimum cardinality of a strong resolving set in G is called the strong metric dimension number of G and it is denoted by sdim(G). For a strong resolving set W of G, a subset S ofW is called the forcing subset of W if W is the unique strong resolving set containing S. The forcing number f(W, sdim(G)) of W in G is the minimum cardinality of a forcing subset for W, while the forcing strong metric dimension, fsdim(G), of G is the smallest forcing number among all strong resolving sets of G. The forcing strong metric dimensions of some well-known graphs are determined. It is shown that for any positiveintegers a and b, with 0 ≤ a ≤ b, there is nontrivial connected graph G with sdim(G) = b and fsdim(G) = a if and only if {a, b} not equal to {0, 1}

A Server-Based Mobile Coaching System

A prototype system for monitoring, transmitting and processing performance data in sports for the purpose of providing feedback has been developed. During training, athletes are equipped with a mobile device and wireless sensors using the ANT protocol in order to acquire biomechanical, physiological and other sports specific parameters. The measured data is buffered locally and forwarded via the Internet to a server. The server provides experts (coaches, biomechanists, sports medicine specialists etc.) with remote data access, analysis and (partly automated) feedback routines. In this way, experts are able to analyze the athlete’s performance and return individual feedback messages from remote locations

08372 Abstracts Collection -- Computer Science in Sport - Mission and Methods

From 07.09. to 10.09., the Dagstuhl Seminar 08372 ``Computer Science in Sport - Mission and Methods\u27\u27 was held in Schloss Dagstuhl - Leibniz Center for Informatics. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The first section describes the seminar topics and goals in general. Links to extended abstracts or full papers are provided, if available

Aplicación de ingeniería de métodos en el área de producción para mejorar la productividad en Textil Adrián Prado – Piura 2022

En el presente trabajo de investigación se busca manifestar el mejoramiento de la productividad a través de la aplicación de la Ingeniería de Métodos en el área de producción de la empresa textil Adrián Prado, desarrollando sus actividades en el sector textil en la confección de diversas prendas de vestir entre ellos la confección de polos. El análisis y desarrollo de la investigación fue en el área de confección, realizando un diagnóstico inicial en el área, siendo este donde se presentó las diversas causas que inciden en la disminución de la productividad siendo algunos de estos los métodos empíricos de trabajo utilizados por los operarios, la presencia de desorden en los procesos de producción, la falta de una continua capacitación en los operarios, la inadecuada distribución de las estaciones de trabajo dentro del área y el incumplimiento de la programación de los procesos. La metodología empleada en esta investigación fue enfoque cuantitativo, tipo aplicada, de alcance explicativo, siendo el diseño de investigación pre-experimental. La población estuvo conformada por la cantidad de polos confeccionados durante un periodo de 30 días para la toma de tiempos siendo los primeros 15 días para el diagnóstico inicial antes de la implementación y los 15 días posteriores para el diagnóstico después de la implementación. Las técnicas empleadas fueron la encuesta, la observación directa y el análisis documental. Como resultados obtenidos en la investigación con respecto al diagnóstico inicial del área de producción fue que a través de un diagrama de Ishikawa se representó que siete de doce de las causas identificadas son las más influyentes en la disminución de la productividad. Después de la implementación de la propuesta de mejora la productividad de la mano de obra se incrementó en 0.81 polo/hr-hombre; la productividad de los materiales se incrementó en 0.28 polos/soles y la productividad de la maquinaria se incrementó en 1.63 polos/hr-máquina. Así mismo el índice de la relación beneficio/costo fue de 1.48 demostrándose que la implementación de la propuesta es rentable financieramente

Spin Dynamical Properties of the Layered Perovskite La1.2Sr1.8Mn2O7

Inelastic neutron-scattering measurements were performed on a single crystal of the layered colossal magnetoresistance (CMR) material La1.2Sr1.8Mn2O7 (Tc ~ 120K). We found that the spin wave dispersion is almost perfectly two-dimensional with the in-plane spin stiffness constant D ~ 151meVA. The value is similar to that of similarly doped La1-xSrxMnO3 though its Tc is three times higher, indicating a large renormalization due to low dimensionality. There exist two branches due to a coupling between layers within a double-layer. The out-of-plane coupling is about 30% of the in-plane coupling though the Mn-O bond lengths are similar.Comment: 3 pages, 3 figures J. Phys. Chem. Solids in pres

On H-irregularity Strengths of G-amalgamation of Graphs

A simple graph G=(V(G),E(G)) admits an H-covering if every edge in E(G) belongs at least to one subgraph of G isomorphic to a given graph H. Then the graph G admitting H-covering admits an H-irregular total k-labeling f: V(G) U E(G) \to {1, 2, ..., k} if for every two different subgraphs H\u27 and H\u27\u27 isomorphic to H there is $wt_{f}(H\u27) \neq wt_{f}(H\u27\u27)$, where $wt_{f}(H)= \sum \limits_{v\in V(H)} f(v) + \sum \limits_{e \in E(H)} f(e)$ is the associated H-weight. The minimum k for which the graph G has an H-irregular total k-labeling is called the total H-irregularity strength of the graph G.In this paper, we obtain the precise value of the total H-irregularity strength of G-amalgamation of graphs

Mobile Motion Advisor — a feedback system for physical exercise in schools

AbstractThe Mobile Motion Advisor (MMA) is a mobile feedback system designed to support high school students by giving them instructions during their physical exercises based on the integration of up-to-date sensor, data transmission and processing technologies to provide optimal training assistance. The aim is to give individually customized exercise instructions. We expect students to develop a positive attitude towards physical exercising when they do not experience frustration due to overstrain. This article gives an overview of the system architecture of the MMA framework and highlights some of the implementations

The MRS UAV System: Pushing the Frontiers of Reproducible Research, Real-world Deployment, and Education with Autonomous Unmanned Aerial Vehicles

We present a multirotor Unmanned Aerial Vehicle control (UAV) and estimation system for supporting replicable research through realistic simulations and real-world experiments. We propose a unique multi-frame localization paradigm for estimating the states of a UAV in various frames of reference using multiple sensors simultaneously. The system enables complex missions in GNSS and GNSS-denied environments, including outdoor-indoor transitions and the execution of redundant estimators for backing up unreliable localization sources. Two feedback control designs are presented: one for precise and aggressive maneuvers, and the other for stable and smooth flight with a noisy state estimate. The proposed control and estimation pipeline are constructed without using the Euler/Tait-Bryan angle representation of orientation in 3D. Instead, we rely on rotation matrices and a novel heading-based convention to represent the one free rotational degree-of-freedom in 3D of a standard multirotor helicopter. We provide an actively maintained and well-documented open-source implementation, including realistic simulation of UAV, sensors, and localization systems. The proposed system is the product of years of applied research on multi-robot systems, aerial swarms, aerial manipulation, motion planning, and remote sensing. All our results have been supported by real-world system deployment that shaped the system into the form presented here. In addition, the system was utilized during the participation of our team from the CTU in Prague in the prestigious MBZIRC 2017 and 2020 robotics competitions, and also in the DARPA SubT challenge. Each time, our team was able to secure top places among the best competitors from all over the world. On each occasion, the challenges has motivated the team to improve the system and to gain a great amount of high-quality experience within tight deadlines.Comment: 28 pages, 20 figures, submitted to Journal of Intelligent & Robotic Systems (JINT), for the provided open-source software see http://github.com/ctu-mr

On irregular total labellings

Two new graph characteristics, the total vertex irregularity strength and the total edge irregularity strength, are introduced. Estimations on these parameters are obtained. For some families of graphs the precise values of these parameters are proved. (c) 2006 Elsevier B.V. All rights reserved.C