Results 21 to 30 of about 23,077,814 (292)
Computing the set of asymptotic critical values of polynomial mappings from smooth algebraic sets
, 2022 Let $\mathbf{f} = (f_1, \dots, f_p) \in \mathbb{Q}[z_1, \dots, z_n]$ be a polynomial tuple. Define the polynomial mapping $\mathbf{f}: X \to \mathbb{C}^p$, where $X$ is a smooth algebraic set defined by the simultaneous vanishing of the reduced regular ...
Safey El Din, Mohab +2 more
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M-polynomial and topological indices of zigzag edge coronoid fused by starphene
Open Chemistry, 2020 Chemical graph theory is a subfield of graph theory that studies the topological indices for chemical graphs that have a good correlation with chemical properties of a chemical molecule.
Afzal Farkhanda +3 more
doaj +1 more source
Uniform Bahadur Representation for Local Polynomial Estimates of M-Regression and Its Application to The Additive Model [PDF]
, 2010 We use local polynomial fitting to estimate the nonparametric M-regression function for strongly mixing stationary processes {(Yi,Xi)}. We establish a strong uniform consistency rate for the Bahadur representation of estimators of the regression ...
Linton, O +11 more
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M-polynomial revisited: Bethe cacti and an extension of Gutman’s approach [PDF]
Journal of Applied Mathematics and Computing, 2018 The $M$-polynomial of a graph $G$ is defined as $\sum_{i\le j} m_{i,j}(G)x^iy^j$, where $m_{i,j}(G)$, $i,j\ge 1$, is the number of edges $uv$ of $G$ such that $\{d_v(G), d_u(G)\} = \{i,j\}$. Knowing the $M$-polynomial, formulas for bond incident degree indices (an important subclass of degree-based topological indices) can be obtained by means of ...
Emeric Deutsch, Sandi Klavzar
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Topological Characterization of the Third Type of Triangular Hex-derived Networks
Scientific Annals of Computer Science, 2021 A topological index is a numerical quantity that defines a chemical descriptor to report several physical, biological and chemical properties of a chemical structure. In recent literature, various degree-based topological indices of a molecular structure
Shibsankar Das, Shikha Rai
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Open 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
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M-Polynomial and Degree Based Topological Indices of Some Nanostructures [PDF]
Symmetry, 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
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The M-polynomial of line graph of subdivision graphs
Communications 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
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Advances 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
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M-Polynomials and Topological Indices of Dominating David Derived Networks
Open 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
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