SHARED RESEARCH FACILITIES "SOLAR-TERRESTRIAL PHYSICS AND CONTROL OF NEAR-EARTH SPACE" ("THE ANGARA") AS APPLIED FOR GEODYNAMICS AND TECTONOPHYSICS

The paper considers an experimental complex of the Shared Research Facilities "The Angara" of ISTP SB RAS. Although the centre aims to study Near-Earth space, scientists could use some equipment for research in geodynamics. We mainly described the Siberian network of receivers of signals from global navigation satellite systems SibNet that currently includes ten receiving points. We also provide information on the fields where "non-geodynamic" equipment can be used for multidisciplinary studies of lithospheric processes

ЦЕНТР КОЛЛЕКТИВНОГО ПОЛЬЗОВАНИЯ «СОЛНЕЧНО-ЗЕМНАЯ ФИЗИКА И КОНТРОЛЬ ОКОЛОЗЕМНОГО КОСМИЧЕСКОГО ПРОСТРАНСТВА» (ЦКП «АНГАРА») ПРИ ГЕОДИНАМИЧЕСКИХ И ТЕКТОНОФИЗИЧЕСКИХ ИССЛЕДОВАНИЯХ

The paper considers an experimental complex of the Shared Research Facilities "The Angara" of ISTP SB RAS. Although the centre aims to study Near-Earth space, scientists could use some equipment for research in geodynamics. We mainly described the Siberian network of receivers of signals from global navigation satellite systems SibNet that currently includes ten receiving points. We also provide information on the fields where "non-geodynamic" equipment can be used for multidisciplinary studies of lithospheric processes.В работе представлен экспериментальный комплекс центра коллективного пользования «Ангара» ИСЗФ СО РАН. Несмотря на то, что основное назначение инструментов – изучение околоземного космического пространства, часть инструментов может использоваться для проведения геодинамических исследований. Основное внимание уделено сибирской сети приемников сигналов глобальных навигационных спутниковых систем SibNet, включающей в настоящее время десять приемных пунктов. Также приведены некоторые сведения о том, в каких областях «негеодинамические» инструменты могут быть использованы при проведении мультидисциплинарных исследований литосферных процессов

On correlation of hyperbolic volumes of fullerenes with their properties

We observe that fullerene graphs are one-skeletons of polyhedra, which can be realized with all dihedral angles equal to π /2 in a hyperbolic 3-dimensional space. One of the most important invariants of such a polyhedron is its volume. We are referring this volume as a hyperbolic volume of a fullerene. It is known that some topological indices of graphs of chemical compounds serve as strong descriptors and correlate with chemical properties. We demonstrate that hyperbolic volume of fullerenes correlates with few important topological indices and so, hyperbolic volume can serve as a chemical descriptor too. The correlation between hyperbolic volume of fullerene and its Wiener index suggested few conjectures on volumes of hyperbolic polyhedra. These conjectures are confirmed for the initial list of fullerenes

On the Wiener (r,s)-complexity of fullerene graphs

Fullerene graphs are mathematical models of fullerene molecules. The Wiener (r,s)-complexity of a fullerene graph G with vertex set V(G) is the number of pairwise distinct values of (r,s)-transmission tr(r,s)(v) of its vertices v:tr(r,s)(v)= Sigma u is an element of V(G)Sigma(s)(i=r)d(v,u)(i) for positive integer r and s. The Wiener (1,1)-complexity is known as the Wiener complexity of a graph. Irregular graphs have maximum complexity equal to the number of vertices. No irregular fullerene graphs are known for the Wiener complexity. Fullerene (IPR fullerene) graphs with n vertices having the maximal Wiener (r,s)-complexity are counted for all n <= 100 (n <= 136) and small r and s. The irregular fullerene graphs are also presented

On Geometric Structures of dihedral Theta-Orbifolds

This article studies the geometric structures of dihedral orbifolds with a knot and a bridge as it&apos;s singular set and the three-dimensional sphere as the underlying space. These knotted graphs are connected with certain families of links factorized by their involution. In some of our cases the bridge is a tunnel of the knot. The greater part of the orbifolds described have a hyperbolic structure. Most of the fundamental groups appearing are two generator groups and moreover, they are generalized triangle groups, whose explicit representations are given. 1. Introduction The purpose of the present article is to investigate geometrical structures of orbifolds where the singular set is a knot or a two-component link with a bridge and underlying space S 3 . Examples of this kind have already been studied in the literature, so Helling, Mennicke and Vinberg [10] considered the trefoil knot with a bridge and determined the geometric structure of the orbifold with such a singular set for all..