Power Domination in WK - Recursive Networks

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Electric power networks must be continuously monitored. Such monitoring can be efficiently accomplished by placing phase measurement units (PMUs) at selected network locations. Due to the high cost of the PMUs, their number must be minimized. The problem of monitoring an electric power system by placing as few phase measurement units (PMUs) in the system as possible is closely related to the well-known domination problem in graphs. In this work, we solve the power domination problem for W K -recursive networks.

Science

International Journal of Computing Algorithm, Vol 3(2), June 2014
ISSN(Print):2278-2397
Website: www.ijcoa.com
Power Domination in - Recursive Networks
Sudeep Stephen, Cyriac Grigorious, Albert William
Department of Mathematics, Loyola College, Chennai
Abstract
Electric power networks must be continuously monitored. Such monitoring can be efficiently
accomplished by placing phase measurement units (PMUs) at selected network locations.
Due to the high cost of the PMUs, their number must be minimized. The problem of
monitoring an electric power system by placing as few phase measurement units (PMUs) in
the system as possible is closely related to the well-known domination problem in graphs. In
this work, we solve the power domination problem for W K -recursive networks.

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Context. WASP-76 b has been a recurrent subject of study since the detection of a signature in high-resolution transit spectroscopy data indicating an asymmetry between the two limbs of the planet. The existence of this asymmetric signature has been confirmed by multiple studies, but its physical origin is still under debate. In addition, it contrasts with the absence of asymmetry reported in the infrared (IR) phase curve. Aims. We provide a more comprehensive dataset of WASP-76 b with the goal of drawing a complete view of the physical processes at work in this atmosphere. In particular, we attempt to reconcile visible high-resolution transit spectroscopy data and IR broadband phase curves. Methods. We gathered 3 phase curves, 20 occultations, and 6 transits for WASP-76 b in the visible with the CHEOPS space telescope. We also report the analysis of three unpublished sectors observed by the TESS space telescope (also in the visible), which represents 34 phase curves. Results. WASP-76 b displays an occultation of 260±11 and 152±10 ppm in TESS and CHEOPS bandpasses respectively. Depending on the composition assumed for the atmosphere and the data reduction used for the IR data, we derived geometric albedo estimates that range from 0.05 ± 0.023 to 0.146 ± 0.013 and from <0.13 to 0.189 ± 0.017 in the CHEOPS and TESS bandpasses, respectively. As expected from the IR phase curves, a low-order model of the phase curves does not yield any detectable asymmetry in the visible either. However, an empirical model allowing for sharper phase curve variations offers a hint of a flux excess before the occultation, with an amplitude of ∼40 ppm, an orbital offset of ∼−30◦ , and a width of ∼20◦ . We also constrained the orbital eccentricity of WASP-76 b to a value lower than 0.0067, with a 99.7% confidence level. This result contradicts earlier proposed scenarios aimed at explaining the asymmetry observed in high-resolution transit spectroscopy. Conclusions. In light of these findings, we hypothesise that WASP-76 b could have night-side clouds that extend predominantly towards its eastern limb. At this limb, the clouds would be associated with spherical droplets or spherically shaped aerosols of an unknown species, which would be responsible for a glory effect in the visible phase curves.

Asymmetry in the atmosphere of the ultra-hot Jupiter WASP-76 b

Sérgio Sacani

Botany is the branch of biology that deals with the scientific study of plants, including their structure, growth, reproduction, metabolism, development, and classification. It encompasses a wide range of topics, from the molecular biology of plant cells to the ecological relationships between plants and their environments. Botany is essential for understanding plant diversity, ecology, evolution, and the roles plants play in ecosystems and human societies.

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GBSN - Biochemistry (Unit 1)

Asymmetry in the atmosphere of the ultra-hot Jupiter WASP-76 b

Botany 4th semester series (krishna).pdf

GBSN - Microbiology (Unit 2)

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Power Domination in WK - Recursive Networks

1. International Journal of Computing Algorithm, Vol 3(2), June 2014 ISSN(Print):2278-2397 Website: www.ijcoa.com Power Domination in - Recursive Networks Sudeep Stephen, Cyriac Grigorious, Albert William Department of Mathematics, Loyola College, Chennai Abstract Electric power networks must be continuously monitored. Such monitoring can be efficiently accomplished by placing phase measurement units (PMUs) at selected network locations. Due to the high cost of the PMUs, their number must be minimized. The problem of monitoring an electric power system by placing as few phase measurement units (PMUs) in the system as possible is closely related to the well-known domination problem in graphs. In this work, we solve the power domination problem for W K -recursive networks.

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