Maryam Salem Alatawi's research while affiliated with University of Tabuk and other places
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Publications (11)
In this paper, we introduce a new class of partially degenerate Hermite-Bernoulli
polynomials of the first kind and generalized Gould-Hopper-partially degenerate Bernoulli
polynomials of the first kind and present some properties and identities of these polyno-
mials. A new class of polynomials generalizing different classes of Hermite polynomials...
In this study, we introduce modified degenerate Changhee-Genocchi polynomials of the second kind, and analyze some properties by providing several relations and applications. We first attain diverse relations and formulas covering addition formulas, recurrence rules, implicit summation formulas, and relations with the earlier polynomials in the lit...
The Metric of a graph has an essential role in arranging different dimensional structures and finding their basis in various terms. The metric dimension of a graph is the selection of the minimum possible number of vertices so that each vertex of the graph is distinctively defined by its vector of distances to the set of selected vertices. This set...
In this paper, we consider the degenerate forms of the Catalan–Daehee polynomials and
numbers by the Volkenborn integrals and obtain diverse explicit expressions and formulas. Moreover, we show the expressions of the degenerate Catalan–Daehee numbers in terms of Daehee numbers, Stirling numbers of the first kind and Bernoulli polynomials, and we al...
The main aim of this study is to define parametric kinds of lambda-Array-type polynomials
by using q-trigonometric polynomials and to investigate some of their analytical properties and applications. For this purpose, many formulas and relations for these polynomials, including some implicit summation formulas, differentiation rules, and relations...
A remarkably large number of polynomials and their
extensions have been presented and studied.~In this paper, we
consider a new type of degenerate Changhee--Genocchi numbers and
polynomials which are different from those previously introduced by
Kim et al. (J. Ineq. Appl. 294, 2017). We investigate some
properties of these numbers and polynomials....
The main aim of this study is to define degenerate Genocchi polynomials and numbers of
the second kind by using logarithmic functions, and to investigate some of their analytical properties and some applications. For this purpose, many formulas and relations for these polynomials, including some implicit summation formulas, differentiation rules an...
In this paper, we seek to present some new identities for the elementary symmetric polynomials and use these identities to construct new explicit formulas for the Legendre polynomials. First, we shed light on the variable nature of elementary symmetric polynomials in terms of repetition and additive inverse by listing the results related to these....
In this paper, we determine the exact metric and fault-tolerant metric dimension of the benzenoid tripod structure. We also computed the generalized version of this parameter and proved that all the parameters are constant. Resolving set $ {L} $ is an ordered subset of nodes of a graph $ {C} $, in which each vertex of $ {C} $ is distinctively deter...
Among the inorganic compounds, there are many influential crystalline structures, and magnesium iodide is the most selective. In the making of medicine and its development, magnesium iodide is considered a multipurpose and rich compound. Chemical structures and networks can be studied by given tools of molecular graph theory. Given tools of molecul...
Silica comes in three different crystalline forms, with quartz being the most common and plentiful in the crust of our planet. Other variations are created when quartz is heated. Each chemical structure may be deduced from graphs in which atoms alternate as vertices and edges as bonds, according to chemical graph theory. The latest advanced topic o...
Citations
... Many researchers [1][2][3][4][5] defined and constructed generating maps for novel families of special polynomials, such as Bernoulli, Euler, and Genocchi by utilizing Changhee and Changhee-Genocchi polynomials. These studies provided fundamental properties and diverse applications for these polynomials. ...
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... Many researchers [1][2][3][4][5] defined and constructed generating maps for novel families of special polynomials, such as Bernoulli, Euler, and Genocchi by utilizing Changhee and Changhee-Genocchi polynomials. These studies provided fundamental properties and diverse applications for these polynomials. ...
... According to Lemma 1 in [31], we can deduce the following result for a particular case . Then, we have W n, ...
... Then, ðV, d G Þ is a metric space. A subset A ⊂ V is called a metric generator for G if it is the generator of the metric space ðV, d G Þ; that is, every point of the space is uniquely determined by its distances from the elements of A. A minimum metric generator is the metric basis, and its cardinality is the metric dimension of G, denoted by dim ðGÞ; for further detail of metric and their parameters, see [1][2][3][4][5][6]. The concept of metric dimension was first introduced by [7] in the problem of uniquely determining the location of an intruder in a network and was named as a locating set instead of metric generators. ...
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... Following that, we will provide some fundamental formulations for the edge-weight-based entropy. Further recent literature on this topic can be seen from [24,6,5,3,38,35]. ...
... Thus, B is not a connected resolving set for G. Namely, no 3-element subset is a connected resolving set of G. On the other hand, the set B = {v 1 , v 4 , v 5 , v 6 , v 8 } is a connected resolving set since the representations r(v 1 |B) = (0, 1, 2, 3, 4), r(v 2 |B) = (1, 2, 3, 4, 5), r(v 3 |B) = ( 2, 1, 2, 3, 4), r(v 4 |B) = (1, 0, 1, 2, 3), r(v 5 |B) = (2, 1, 0, 1, 2), r(v 6 |B) = (3, 2, 1, 0, 1), r(v 7 |B) = (2, 1, 2, 1, 2), r(v 8 |B) = (4, 3, 2, 1, 0), r(v 9 |B) = (5, 4, 3, 2, 1), r(v 10 |B) = (4, 3, 2, 1, 2). The set B = {v 1 , v 4 , v 5 The metric dimension of several graphs is computed theoretically in the literature [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. A few algorithms are proposed in the literature to compute the metric dimension of graphs heuristically. ...
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