1,089 research outputs found
Independent sets of some graphs associated to commutative rings
Let be a simple graph. A set is independent set of
, if no two vertices of are adjacent. The independence number
is the size of a maximum independent set in the graph. %An
independent set with cardinality Let be a commutative ring with nonzero
identity and an ideal of . The zero-divisor graph of , denoted by
, is an undirected graph whose vertices are the nonzero
zero-divisors of and two distinct vertices and are adjacent if and
only if . Also the ideal-based zero-divisor graph of , denoted by
, is the graph which vertices are the set {x\in R\backslash I |
xy\in I \quad for some \quad y\in R\backslash I\} and two distinct vertices
and are adjacent if and only if . In this paper we study the
independent sets and the independence number of and .Comment: 27 pages. 22 figure
Hemiconvulsion-Hemiplegia-Epilepsy Syndrome
ObjectiveHemiconvulsion-Hemiplegia-Epilepsy syndrome (HHE) is an initial phase of unilateral or predominantly unilateral convulsive seizures usually of long duration, with a second phase of hemiplegia (usually permanent), immediately following the hemiconvulsions;and then a third stage, characterized by the appearance of partial epileptic seizures. The causes of the initial convulsions in HHE syndrome are multiple but in many patients no cause in obvious. Neuroimaging studies demonstrate an acquired atrophy, that often is preceded by swelling and edema of the hemisphere. Here we report a case of 18 monthold boy, with an initial phase of repeated episodes of partial seizures, followed by hemiparesis and epileptic seizures, with one episode of generalized convulsive status epilepticus . Minor head trauma was the trigger factor of the initial attack. Brain neuroimaging showed generalized atrophy , that was more prominent in the left hemisphere.
Determinants of Transport Mode Choice in the Austrian Province of Vorarlberg
Almost all countries have policies to reduce the usage of private car and to raise the usage of public transport
by reducing the distance of travel, increasing density, increasing the access to public transport and so on. All
of these developments are effective strategies for reducing car dependency. The factors which determine
travel behavior of people are relatively broad. Besides the factors such as urban form and transport
infrastructure, one important factor is the personal attribute which has a strong effect on the modal choice.
By better understanding of this fact, the settlement development and transport planning can be integrated in a
more sustainable way. This paper addresses the influence of socio-demographic and geographic factors on
the selection of mode choice in the Austrian province of Vorarlberg. We used the mobility survey
“Österreich unterwegs” from 2014 and applied bivariate and multinomial logit model in order to quantify the
influence of factors on mode selection. Result show that the household size, age, gender, income and
motivation of travel have a significant effect on the modal choice
Formation of Nanocrystalline Solid Solution in Al-Fe-V-Si Alloys by Mechanical Alloying
In this study, the microstructural evolution of Al-Fe-V-Si alloy prepared by mechanical alloying
starting from elemental powders was studied. X-ray diffraction results showed that by increasing the
milling time, peak shifting and peak broadening of Al reflections occur due to dissolution of alloying
elements and grain refinement, respectively. Reduction of Al lattice parameter by increasing the milling
time indicates that an Al based solid solutions formed during mechanical alloying and solute concentration
increased by increasing the milling time. After 60 h of milling, the microstructure consisted of a
nanocrystalline Al solid solutions with a grain size of 19 nm and an internal strain of 0.55 in which Si
phase was dispersed. In contrast to previous studies on rapidly solidified Al-Fe-V-Si alloys, there is no
formation of trace of Al12(Fe,V)3Si or other intermetallic compounds in the as-milled condition.
When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/3509
Centrosymmetric graphs and a lower bound for graph energy of fullerenes
The energy of a molecular graph G is defined as the summation of the absolute values of the eigenvalues of adjacency matrix of a graph G. In this paper, an infinite class of fullerene graphs with 10n vertices, n ≥ 2, is considered. By proving centrosymmetricity of the adjacency matrix of these fullerene graphs, a lower bound for its energy is given. Our method is general and can be extended to other class of fullerene graphs
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