scholarly journals Orientations, Semiorders, Arrangements, and Parking Functions

10.37236/2684 ◽  
2012 ◽  
Vol 19 (4) ◽  
Author(s):  
Sam Hopkins ◽  
David Perkinson
Keyword(s):  
Hyperplane Arrangement ◽  
Parking Functions ◽  
Its Regions

It is known that the Pak-Stanley labeling of the Shi hyperplane arrangement provides a bijection between the regions of the arrangement and parking functions. For any graph $G$, we define the $G$-semiorder arrangement and show that the Pak-Stanley labeling of its regions produces all $G$-parking functions.

scholarly journals Bigraphical arrangements

2014 ◽  
Vol DMTCS Proceedings vol. AT,... (Proceedings) ◽  
Author(s):  
Sam Hopkins ◽  
David Perkinson
Keyword(s):  
American Mathematical Society ◽  
Mathematical Society ◽  
Parking Functions ◽  
Full Version ◽  
Labeled Graphs ◽  
Its Regions ◽  
International Audience ◽  
Related Graph ◽  
Shi Arrangement

International audience We define the bigraphical arrangement of a graph and show that the Pak-Stanley labels of its regions are the parking functions of a closely related graph, thus proving conjectures of Duval, Klivans, and Martin and of Hopkins and Perkinson. A consequence is a new proof of a bijection between labeled graphs and regions of the Shi arrangement first given by Stanley. We also give bounds on the number of regions of a bigraphical arrangement. The full version of this paper is forthcoming in the $\textit{Transactions of the American Mathematical Society}$

Gold mining industry in Russia and its regions

2019 ◽  
Vol 17 (10) ◽  
pp. 1822-1833
Author(s):  
Sn.P. Mongush ◽  
◽  
T.M. Oidup ◽  
Keyword(s):  
Gold Mining ◽  
Mining Industry ◽  
Its Regions

Estimation of economic specialization of Ukrainian regions in the context of global trends

2019 ◽  
pp. 24-31
Author(s):  
Svitlana Ishchuk ◽  
Lyubomyr Sozanskyy
Keyword(s):  
National Economy ◽  
Economic Activity ◽  
Commodity Prices ◽  
Value Added ◽  
High Tech ◽  
Agricultural Commodity ◽  
Macroeconomic Factors ◽  
Gross Value Added ◽  
Its Regions ◽  
Economic Specialization

The scale and deep heterogeneity of the national economy of Ukraine in the regional context make the relevance of scientific research in this thematic area. The purpose of the article is to determine the economic specialization of the regions of Ukraine by key economic activities contributing to the formation of gross value added, as well as outlining the potential risks to the national economy, taking into account the situation on world commodity markets. The results of the research showed that one of the consequences of the unstable dynamics of industrial production in Ukraine under the influence of geopolitical and macroeconomic factors is the reduction of industrial specialization of the economy of a number of Ukrainian regions. Thus, in 2017 the manufacturing was the leading economic activity (with the highest share in the gross value added created) in 11 regions, compared to 15 in 2012. So Poltava, Donetsk, Dnipropetrovsk and Zaporizhzhya regions are considered to be “highly industrial”. At the same time, the agrarian specialization of the economy of Ukraine and its regions deepened – in 2017 agriculture became the leading type of economic activity in 11 regions (compared to 7 in 2012). The most “agrarian” in Ukraine (with a share of agriculture in gross value added over 30%) in 2017 became the Kherson, Kirovohrad and Khmelnytsky regions. Increasing the level of “agrarianization” of the national economy in the context of volatility of agricultural commodity prices on the world markets poses significant risks for the socio-economic development of Ukraine and its regions. These risks are exacerbated by the high amplitude of fluctuations in the volume and structure of domestic agricultural products and the low degree of processing of raw materials. To improve the structure of domestic commodity exports (in the direction of increasing its share of products with a higher degree of processing) and to deepen its diversification, a number of measures should be carried out aimed at stimulating export activity of enterprises (industrial and agro-industrial), carrying out technical and technological re-equipment of industrial and export production bases, creation of new high-tech industries on the basis of the implementation of powerful innovation and investment projects.

scholarly journals Cryptococcus rajasthanensis sp. nov., an anamorphic yeast species related to Cryptococcus laurentii, isolated from Rajasthan, India

2007 ◽  
Vol 57 (2) ◽  
pp. 414-418 ◽  
Author(s):  
Puja Saluja ◽  
G. S. Prasad
Keyword(s):  
Large Subunit ◽  
Its Region ◽  
Molecular Data ◽  
Lsu Rdna ◽  
Cryptococcus Laurentii ◽  
The Novel ◽  
D2 Domain ◽  
Its Regions ◽  
Anamorphic Yeast ◽  
Physiological Tests

Two novel anamorphic yeast strains (S-15LT and 3-C1) were isolated from the inflorescences of plants collected in two different towns in Rajasthan State, India. Sequencing of the D1/D2 domains of the large-subunit (LSU) rDNA and the internal transcribed spacer (ITS) regions suggested they are strains of the same species. Phenotypic characteristics such as the absence of fermentation, the absence of sexual structures and ballistoconidia, the assimilation of myo-inositol and d-glucuronate, and positive Diazonium blue B and urease reactions indicated that these strains belong to the genus Cryptococcus. The novel strains differed from Cryptococcus laurentii in six physiological tests and differed from other related species in more than six tests. A phylogenetic analysis of the sequences of the D1/D2 domains of the LSU rDNA and the ITS regions placed these strains in the Bulleromyces clade within the order Tremellales, with C. laurentii as their closest described relative. The novel strains showed 1.6 and 7.5 % divergence in the D1/D2 domain of the LSU rDNA and ITS regions, respectively, with respect to C. laurentii. The divergence from other species was more than 3 % for the D1/D2 domain and more than 9 % for the ITS region. On the basis of the phenotypic and molecular data, strains S-15LT and 3-C1 represent a novel species within the genus Cryptococcus, for which the name Cryptococcus rajasthanensis sp. nov. is proposed. The type strain is S-15LT (=MTCC 7075T=CBS 10406T).

scholarly journals Lung cancer mortality attributable to residential radon exposure in Spain and its regions

2021 ◽  
pp. 111372
Author(s):  
Alberto Ruano-Ravina ◽  
Leonor Varela Lema ◽  
Marta García Talavera ◽  
Montserrat García Gómez ◽  
Santiago González Muñoz ◽  
...  
Keyword(s):  
Lung Cancer ◽  
Cancer Mortality ◽  
Lung Cancer Mortality ◽  
Radon Exposure ◽  
Its Regions ◽  
Residential Radon

scholarly journals Building and Rebuilding Buddhist Monasteries in Tang China: The Reconstruction of the Kaiyuan Monastery in Sizhou

Religions ◽  
2021 ◽  
Vol 12 (4) ◽  
pp. 253
Author(s):  
Anna Sokolova
Keyword(s):  
Economic Development ◽  
Tang Dynasty ◽  
Construction Projects ◽  
Jiangsu Province ◽  
Pivotal Role ◽  
Bai Juyi ◽  
The Social ◽  
Social And Economic Development ◽  
Its Regions

This article explores regional Buddhist monasteries in Tang Dynasty (618–907 CE) China, including their arrangement, functions, and sources for their study. Specifically, as a case study, it considers the reconstruction of the Kaiyuan monastery 開元寺 in Sizhou 泗州 (present-day Jiangsu Province) with reference to the works of three prominent state officials and scholars: Bai Juyi 白居易 (772–846), Li Ao 李翱 (772–841), and Han Yu 韓愈 (768–824). The writings of these literati allow us to trace the various phases of the monastery’s reconstruction, fundraising activities, and the network of individuals who participated in the project. We learn that the rebuilt multi-compound complex not only provided living areas for masses of pilgrims, traders, and workers but also functioned as a barrier that protected the populations of Sizhou and neighboring prefectures from flooding. Moreover, when viewed from a broader perspective, the renovation of the Kaiyuan monastery demonstrates that Buddhist construction projects played a pivotal role in the social and economic development of Tang China’s major metropolises as well as its regions.

scholarly journals The Tutte polynomial of symmetric hyperplane arrangements

2020 ◽  
Vol 29 (03) ◽  
pp. 2050004
Author(s):  
Hery Randriamaro
Keyword(s):  
Hyperplane Arrangement ◽  
Dual Graph ◽  
Tutte Polynomial ◽  
Hyperplane Arrangements ◽  
Weyl Groups ◽  
Reflection Groups ◽  
Tutte Polynomials ◽  
One Year ◽  
The One ◽  
Definition Of

The Tutte polynomial is originally a bivariate polynomial which enumerates the colorings of a graph and of its dual graph. Ardila extended in 2007 the definition of the Tutte polynomial on the real hyperplane arrangements. He particularly computed the Tutte polynomials of the hyperplane arrangements associated to the classical Weyl groups. Those associated to the exceptional Weyl groups were computed by De Concini and Procesi one year later. This paper has two objectives: On the one side, we extend the Tutte polynomial computing to the complex hyperplane arrangements. On the other side, we introduce a wider class of hyperplane arrangements which is that of the symmetric hyperplane arrangements. Computing the Tutte polynomial of a symmetric hyperplane arrangement permits us to deduce the Tutte polynomials of some hyperplane arrangements, particularly of those associated to the imprimitive reflection groups.

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