Results 21 to 30 of about 101,413 (261)

Deterministic and random approximation by the combination of algebraic polynomials and trigonometric polynomials

open access: yesOpen Mathematics, 2021
Fourier approximation plays a key role in qualitative theory of deterministic and random differential equations. In this paper, we will develop a new approximation tool.
Zhang Zhihua
doaj   +1 more source

M-Polynomial and Degree Based Topological Indices of Some Nanostructures [PDF]

open access: yesSymmetry, 2020
The association of M-polynomial to chemical compounds and chemical networks is a relatively new idea, and it gives good results about the topological indices. These results are then used to correlate the chemical compounds and chemical networks with their chemical properties and bioactivities.
Zahid Raza, Mark Essa K. Sukaiti
openaire   +2 more sources

The M-polynomial of line graph of subdivision graphs

open access: yesCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2019
Summary: Three composite graphs Ladder graph \((L_n)\), Tadpole graph \((T_{n,k})\) and Wheel graph \((W_n)\) are graceful graphs, which have different applications in electrical, electronics, wireless communication etc. In this report, we first determine \(M\)-polynomial of the Line graph of those three graphs using subdivision idea and then compute ...
Mondal, Sourav, De, Nilanjan, Pal, Anita
openaire   +5 more sources

Hermite–Hadamard-type inequalities via n-polynomial exponential-type convexity and their applications

open access: yesAdvances in Difference Equations, 2020
In this paper, we give and study the concept of n-polynomial ( s , m ) $(s,m)$ -exponential-type convex functions and some of their algebraic properties. We prove new generalization of Hermite–Hadamard-type inequality for the n-polynomial ( s , m ) $(s,m)
Saad Ihsan Butt   +5 more
doaj   +1 more source

M-Polynomials and Topological Indices of Dominating David Derived Networks

open access: yesOpen Chemistry, 2018
There is a strong relationship between the chemical characteristics of chemical compounds and their molecular structures. Topological indices are numerical values associated with the chemical molecular graphs that help to understand the physical features,
Kang Shin Min   +4 more
doaj   +1 more source

On the modular Jones polynomial

open access: yesComptes Rendus. Mathématique, 2020
A major problem in knot theory is to decide whether the Jones polynomial detects the unknot. In this paper we study a weaker related problem, namely whether the Jones polynomial reduced modulo an integer $m$ detects the unknot.
Pagel, Guillaume
doaj   +1 more source

M-Polynomial and Degree-Based Topological Indices of Polyhex Nanotubes [PDF]

open access: yesSymmetry, 2016
The discovery of new nanomaterials adds new dimensions to industry, electronics, and pharmaceutical and biological therapeutics. In this article, we first find closed forms of M-polynomials of polyhex nanotubes. We also compute closed forms of various degree-based topological indices of these tubes.
Mobeen Munir   +3 more
openaire   +2 more sources

Molecular Properties of Symmetrical Networks Using Topological Polynomials

open access: yesOpen Chemistry, 2019
A numeric quantity that comprehend characteristics of molecular graph Γ of chemical compound is known as topological index. This number is, in fact, invariant with respect to symmetry properties of molecular graph Γ.
Wang Xing-Long   +5 more
doaj   +1 more source

Bi-induced sub graphs and stability number [PDF]

open access: yesYugoslav Journal of Operations Research, 2004
We define a 2-parametric hierarchy CLAP (m, n) of bi-hereditary classes of graphs, and show that a maximum stable set can be found in polynomial time within each class CLAP (m, n). The classes can be recognized in polynomial time.
Zverovich I.E., Zverovich O.I.
doaj   +1 more source

A novel perspective for M-polynomials to compute molecular descriptors of borophene nanosheet

open access: yesScientific Reports, 2023
Abstract Nanomaterials feature exceptional, one-of-a-kind qualities that might be used in electronics, medicine, and other industries. Two-dimensional nanomaterials called borophene have a variety of intriguing characteristics, which helped them to leave an indelible impression in the fields of chemistry, material
Rashad Ismail   +6 more
openaire   +3 more sources

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