scholarly journals On (2-d)-Kernels in Two Generalizations of the Petersen Graph

Symmetry ◽  
2021 ◽  
Vol 13 (10) ◽  
pp. 1948
Author(s):  
Paweł Bednarz ◽  
Natalia Paja
Keyword(s):  
Petersen Graph ◽  
Kernel Number ◽  
Symmetric Structure

A subset J is a (2-d)-kernel of a graph if J is independent and 2-dominating simultaneously. In this paper, we consider two different generalizations of the Petersen graph and we give complete characterizations of these graphs which have (2-d)-kernel. Moreover, we determine the number of (2-d)-kernels of these graphs as well as their lower and upper kernel number. The property that each of the considered generalizations of the Petersen graph has a symmetric structure is useful in finding (2-d)-kernels in these graphs.

Sowing Date and Maize Productivity: II. Kernel Number Determination

Crop Science ◽  
1994 ◽  
Vol 34 (4) ◽  
pp. 1044-1046 ◽  
Author(s):  
A. G. Cirilo ◽  
F. H. Andrade
Keyword(s):  
Sowing Date ◽  
Kernel Number ◽  
Maize Productivity

scholarly journals Polynomial ring representations of endomorphisms of exterior powers

2021 ◽  
Author(s):  
Ommolbanin Behzad ◽  
André Contiero ◽  
Letterio Gatto ◽  
Renato Vidal Martins
Keyword(s):  
Lie Algebra ◽  
Polynomial Ring ◽  
Vertex Operators ◽  
Exterior Power ◽  
Infinite Dimensional ◽  
Symmetric Structure ◽  
Rational Polynomials ◽  
Exterior Powers ◽  
Vertex Representation ◽  
Countably Infinite

AbstractAn explicit description of the ring of the rational polynomials in r indeterminates as a representation of the Lie algebra of the endomorphisms of the k-th exterior power of a countably infinite-dimensional vector space is given. Our description is based on results by Laksov and Throup concerning the symmetric structure of the exterior power of a polynomial ring. Our results are based on approximate versions of the vertex operators occurring in the celebrated bosonic vertex representation, due to Date, Jimbo, Kashiwara and Miwa, of the Lie algebra of all matrices of infinite size, whose entries are all zero but finitely many.

scholarly journals The Classical Structure of TaCp2(H)(SiMe2H)2

1999 ◽  
Vol 23 (1) ◽  
pp. 14-15
Author(s):  
Ichiro Tanaka ◽  
Takashi Ohhara ◽  
Nobuo Niimura ◽  
Yuji Ohashi ◽  
Qian Jiang ◽  
...  
Keyword(s):  
Neutron Diffraction ◽  
Diffraction Analysis ◽  
Neutron Diffraction Analysis ◽  
Classical Structure ◽  
R Factor ◽  
Symmetric Structure ◽  
Hydride Ligand

Neutron diffraction analysis of TaCp2(H)(SiMe2H)2 (1) has revealed a symmetric structure with a classical, rather than agostic, hydride ligand: the Ta–H distance is 1.785(15) Å, the non-bonding H···Si distances are 2.189(18) and 2.190(17) Å, and the H–Ta–Si angles are 55.2(5) and 55.5(5)°; final R factor = 8.9% for 1295 reflections.

scholarly journals Weyl symmetric structure of QCD vacuum

2012 ◽  
Vol 86 (4) ◽  
Author(s):  
Y. M. Cho ◽  
D. G. Pak ◽  
P. M. Zhang ◽  
L. P. Zou
Keyword(s):  
Qcd Vacuum ◽  
Symmetric Structure

Design and analysis of a novel seven-bar mechanical servo press with dual motors inputs

2016 ◽  
Vol 231 (20) ◽  
pp. 3855-3865
Author(s):  
Chen Liu ◽  
Sheng-Dun Zhao ◽  
Jing-Xiang Li
Keyword(s):  
Metal Forming ◽  
Theoretical Study ◽  
High Capacity ◽  
High Ratio ◽  
Measured Data ◽  
Servo Motor ◽  
Symmetric Structure ◽  
Servo Press ◽  
The Press ◽  
Dynamic Analyses

This paper proposes a novel high capacity servo press system with two servo motor inputs and high ratio force amplifier mechanism for metal forming. First, the press structure was expressed. The force amplifier was made of seven-bar mechanism which possesses quick-return character and high ratio force amplifier. The symmetric structure balanced the force in horizontal direction, and dispersed the forces on two transmission routes. In theoretical study of the new structure, kinematic and dynamic analyses were obtained by examining the geometry of the structure. The performance of press was discussed by example demonstration. Finally, the kinematic experiments and metal forming experiments were carried out on the prototype machine by using grating scale system. The measured data match the theoretical calculation well, which validates the feasibility of this new press mechanism.

The Parallel Mechanism and Variable Acceleration Control Method

2013 ◽  
Vol 579-580 ◽  
pp. 659-664
Author(s):  
Xiang Bo Ouyang ◽  
Ke Tian Li ◽  
Hong Jian Xia ◽  
Su Juan Wang ◽  
Huan Wei Zhou ◽  
...  
Keyword(s):  
Parallel Mechanism ◽  
Control Method ◽  
The Other ◽  
Connecting Rod ◽  
Motion Platform ◽  
The Third ◽  
Symmetric Structure ◽  
Slide Block ◽  
Operation Process ◽  
Moving Platform

t presents the parallel mechanism and variable acceleration control method, which is composed of slider, connecting rod, moving platform and linear guide etc. The motion platform is supported by three connecting rods through hinging, the other end of the connecting rods are respectively hinged with two sliders. Among them two pairs of connecting rod, two sliders and the moving platform formed a symmetric structure that is the so called Parallel Mechanism. The third connecting rod is parallel to one of two connecting rods, so that the two parallel connecting rods, slide block and the moving platform formed a parallelogram structure, it makes that the moving platform is always parallel to liner guiderail in the process of movement. By controlling the two sliders moving in the way of variable acceleration, it can make the trajectory curve, speed curve and acceleration curve of the moving platform are continuous, smooth, so impact and vibration of the moving platform is limited in the operation process.

Sign in / Sign up

Export Citation Format

Share Document