scholarly journals On topological properties of some convex polytopes by using line operator on their subdivisions

2019 ◽  
Vol 49 (3) ◽  
Author(s):  
Fatima Asif ◽  
Zohaib Zahid ◽  
Sohail Zafar ◽  
Mohammad R. Farahani ◽  
Wei Gao
Keyword(s):  
Convex Polytopes ◽  
Topological Properties ◽  
Line Operator

scholarly journals On topological properties of some convex polytopes by using line operator on their subdivisions

2020 ◽  
Vol 41 (4) ◽  
pp. 891-903 ◽  
Author(s):  
Mohamad Nazri Husin ◽  
Fatima Asif ◽  
Zohaib Zahid ◽  
Sohail Zafar
Keyword(s):  
Convex Polytopes ◽  
Topological Properties ◽  
Line Operator

ON TOPOLOGICAL PROPERTIES OF PLANE GRAPHS BY USING LINE OPERATOR ON THEIR SUBDIVISIONS

2018 ◽  
Vol 19 (4) ◽  
pp. 479-490
Author(s):  
Mohamad Nazri Husin ◽  
Mohammad Reza Farahani ◽  
Fatima Asif ◽  
Zohaib Zahid ◽  
Sohail Zafar
Keyword(s):  
Topological Properties ◽  
Plane Graphs ◽  
Line Operator

FOURTH ATOM-BOND CONNECTIVITY INDEX AND FIFTH ARITHMETIC-GEOMETRIC INDEX OF CONVEX POLYTOPES BY USING LINE OPERATOR

2018 ◽  
Vol 19 (4) ◽  
pp. 491-500
Author(s):  
Mohamad Nazri Husin ◽  
Fatima Asif ◽  
Zohaib Zahid ◽  
Sohail Zafar ◽  
Mohammad Reza Farahani
Keyword(s):  
Convex Polytopes ◽  
Connectivity Index ◽  
Atom Bond ◽  
Line Operator

scholarly journals Topological Properties of Para-Line Graph of Some Convex Polytopes Using Neighborhood M-Polynomial

2020 ◽  
Vol 11 (3) ◽  
pp. 9915-9927
Keyword(s):  
Biological Activities ◽  
Line Graph ◽  
Convex Polytopes ◽  
Topological Indices ◽  
Molecular Structures ◽  
Topological Properties ◽  
Structure Property ◽  
Graphs And Networks ◽  
Structure Activity ◽  
Graphical Comparison

The neighborhood M-polynomial is effective in recovering neighborhood degree sum based topological indices that predict different physicochemical properties and biological activities of molecular structures. Topological indices can transform the information found in molecular graphs and networks into numerical characteristics and thus make a major contribution to the study of structure-property and structure-activity relationships. In this work, the neighborhood M-polynomial of the para-line graph of some convex polytopes is obtained. From the neighborhood M-polynomial, some neighborhood degree-based topological indices are recovered. Applications of the work are described. In addition, a quantitative and graphical comparison is made.

Electron Microscopy of Nucleic Acids

1974 ◽  
Vol 32 ◽  
pp. 302-303
Author(s):  
Norman Davidson
Keyword(s):  
Electron Microscopy ◽  
Nucleic Acids ◽  
Basic Protein ◽  
Molecular Biologist ◽  
Topological Properties ◽  
Protein Film ◽  
Polynucleotide Chain

The basic protein film technique for mounting nucleic acids for electron microscopy has proven to be a general and powerful tool for the working molecular biologist in characterizing different nucleic acids. It i s possible to measure molecular lengths of duplex and single-stranded DNAs and RNAs. In particular, it is thus possible to as certain whether or not the nucleic acids extracted from a particular source are or are not homogeneous in length. The topological properties of the polynucleotide chain (linear or circular, relaxed or supercoiled circles, interlocked circles, etc. ) can also be as certained.

The Convex Polytopes and Homogeneous Coordinate Rings of Bivariate Polynomials

2019 ◽  
Vol 16 (2) ◽  
pp. 1
Author(s):  
Shamsatun Nahar Ahmad ◽  
Nor’Aini Aris ◽  
Azlina Jumadi
Keyword(s):  
Convex Polytopes ◽  
Polynomial Systems ◽  
Matrix Formulation ◽  
Bivariate Polynomials ◽  
Homogeneous Coordinates ◽  
The Matrix ◽  
Projective Vector ◽  
Coordinate Rings ◽  
Resultant Matrix ◽  
The Given

Concepts from algebraic geometry such as cones and fans are related to toric varieties and can be applied to determine the convex polytopes and homogeneous coordinate rings of multivariate polynomial systems. The homogeneous coordinates of a system in its projective vector space can be associated with the entries of the resultant matrix of the system under consideration. This paper presents some conditions for the homogeneous coordinates of a certain system of bivariate polynomials through the construction and implementation of the Sylvester-Bèzout hybrid resultant matrix formulation. This basis of the implementation of the Bèzout block applies a combinatorial approach on a set of linear inequalities, named 5-rule. The inequalities involved the set of exponent vectors of the monomials of the system and the entries of the matrix are determined from the coefficients of facets variable known as brackets. The approach can determine the homogeneous coordinates of the given system and the entries of the Bèzout block. Conditions for determining the homogeneous coordinates are also given and proven.

The Effect of Topological Properties on Duration Perception of Oddball Stimuli

2013 ◽  
Vol 45 (12) ◽  
pp. 1324-1333
Author(s):  
Baolin LI ◽  
Youguo CHEN ◽  
Xiangyong YUAN ◽  
Jackson Todd ◽  
Xiting HUANG
Keyword(s):  
Topological Properties
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