Connecting SiO4 in Silicate and Silicate Chain Networks to Compute Kulli Temperature Indices

Zhang, Ying-Fang; Ghani, Muhammad Usman; Sultan, Faisal; Inc, Mustafa; Cancan, Murat

doi:10.3390/molecules27217533

Cited by 15 publications

(9 citation statements)

References 24 publications

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“…These concepts have a countable set consisting of a wide range of applications in various scientific disciplines, for instance, the unique determination of intersection points on the roads [9], pattern recognition and image processing [22], robot navigation [23], verification and network discovery [24], connected joins and graph-theoretic medicinal chemistry [18], mastermind games involving several strategies [25], etc. The reported studies regarding the investigation of metric dimensions for various significant families, like one-pentagonal carbon nanocone, heptagonal circular ladder, mobious ladder, and many chemical graphs, refer to [26][27][28][29]. The problem in deciding to or not to obtain…”

Section: Open Accessmentioning

confidence: 99%

“…Although, several authors studied metric dimension and its related variants for several distinct complex molecular graphs as well as for various other graph-theoretic aspects, for example, the metric dimension of H-Napthalenic nanotubes as well as VC 5 C 7 were investigated in [32]; edge metric basis and the dimension of one-pentagonal and one-heptagonal carbon nanocone was investigated [9,20] respectively; for cellulose networks an estimated upper bounds were provided for the cardinality of their resolving sets [33]; the metric dimension of Alpha & 2D lattice boron nanotubes were reported [34]; for polycyclic aromatic hydrocarbons several variants of metric dimension were investigated [35,36]; for chemical graphs of starphene and hollow coronoid several metric dimension variants were reported [37][38][39]. For certain chemical as well as planar graphs, these variants are investigated [20,27,28].…”

Section: Open Accessmentioning

confidence: 99%

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Mathematical analysis of the structure of one-heptagonal carbon nanocone in terms of its basis and dimension

Al-Qudah,

Jaradat,

Sharma

et al. 2024

Phys. Scr.

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For an undirected connected graph $G=G(V,E)$ with vertex set $V(G)$ and edge set $E(G)$, a subset $R$ of $V$ is said to be a resolving in $G$, if each pair of vertices (say $a$ and $b$; $a\neq b$) in $G$ satisfy the relation $d(a, k)\neq d(b, k)$, for at least one member $k$ in $R$. The minimum set $R$ with this resolving property is said to be a metric basis for $G$, and the cardinality of such set $R$, is referred to as the metric dimension of $G$, denoted by $dim_v(G)$. In this manuscript, we consider a complex molecular graph of one-heptagonal carbon nanocone (represented by $HCN_{s}$) and investigate its metric basis as well as metric dimension. We prove that just three specifically chosen vertices are enough to resolve the molecular graph of $HCN_{s}$. Moreover, several theoretical as well as applicative properties including comparison have also been incorporated.

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Section: Open Accessmentioning

confidence: 99%

Section: Open Accessmentioning

confidence: 99%

Mathematical analysis of the structure of one-heptagonal carbon nanocone in terms of its basis and dimension

Al-Qudah,

Jaradat,

Sharma

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…Silica is relatively unreactive to Cl2, H2, acids and most metals at 25 o C or higher, but can be attacked by F2, HF aqua, alkaline hydroxides and carbonate melts. Silica forms constitute some of the important crystal structures not only because silica is an abundant and useful substance, but because its structure (SiO4) is the fundamental unit in most minerals [25].…”

Section: Silicamentioning

confidence: 99%

Treatment of Waste Water from Li-ion Batteries Cathode Material Production: Selection of adsorbents

Ikhsanudin¹

2023

ESTA

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Pemanfaatan karbon aktif (activated Carbon) sebagai adsorben dalam berbagai aspek penilitian mengalami peningkatan yang sangat pesat dari tahun ke tahun (Nwabanne, et al, 2011). Karbon Aktif sebagai absorben tidak lagi asing bagi kehidupan kita, pemanfaatan karbon aktif dapat kita temukan mulai dari hal yang paling kecil dalam kehidupan rumah tangga, di dunia kesehatan, dan juga di Industri- industri besar baik dalam pemisahan maupun untuk penyimpanan gas. Besarnya kebutuhan terhadap penggunaan karbon aktif sebagai absorben tidak di barengi dengan produksi karbon aktif di negeri ini. Kita masih mengandalkan negara luar sebagai pemasok kebutuhan karbon aktif, sedangkan ketersediaan bahan dasar untuk pembuatan karbon aktif di Indonesia sangat berlimpah dan tidak terjamahkan sama sekali.Karbon aktif dapat didefinisikan sebagai bahan karbon dengan struktur amorf dan luas permukaan internal yang besar dengan tingkat porositas yang tinggi. Karbon aktif memiliki bentuk karbon mikrokristalin dan non-grafit. Bentuk non-grafit berarti terdiri dari sejumlah kecil hidrogen atau sejumlah besar oksigen dalam strukturnya. Karbon aktif memiliki kinerja tinggi dalam konduktivitas listrik, stabilitas termal yang baik, serta reaktivitas permukaan yang menjadi alasan utama karbon aktif digunakan dalam beberapa tahun terakhir.

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“…Chemical indices are important tools for studying different physico-chemical properties of molecules without having to conduct several tests. In the investigation of medicines, quantitative structure-activity relationships (QSAR) use mathematical computations to decipher the chemical properties [ 14 , 15 ]. Some researchers have analyzed the topological and K -Banhatti indices in [ 16 , 17 ].…”

Section: Introductionmentioning

confidence: 99%

Entropy Related to K-Banhatti Indices via Valency Based on the Presence of C6H6 in Various Molecules

et al. 2023

Self Cite

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Entropy is a measure of a system’s molecular disorder or unpredictability since work is produced by organized molecular motion. Shannon’s entropy metric is applied to represent a random graph’s variability. Entropy is a thermodynamic function in physics that, based on the variety of possible configurations for molecules to take, describes the randomness and disorder of molecules in a given system or process. Numerous issues in the fields of mathematics, biology, chemical graph theory, organic and inorganic chemistry, and other disciplines are resolved using distance-based entropy. These applications cover quantifying molecules’ chemical and electrical structures, signal processing, structural investigations on crystals, and molecular ensembles. In this paper, we look at K-Banhatti entropies using K-Banhatti indices for C6H6 embedded in different chemical networks. Our goal is to investigate the valency-based molecular invariants and K-Banhatti entropies for three chemical networks: the circumnaphthalene (CNBn), the honeycomb (HBn), and the pyrene (PYn). In order to reach conclusions, we apply the method of atom-bond partitioning based on valences, which is an application of spectral graph theory. We obtain the precise values of the first K-Banhatti entropy, the second K-Banhatti entropy, the first hyper K-Banhatti entropy, and the second hyper K-Banhatti entropy for the three chemical networks in the main results and conclusion.

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Connecting SiO4 in Silicate and Silicate Chain Networks to Compute Kulli Temperature Indices

Cited by 15 publications

References 24 publications

Mathematical analysis of the structure of one-heptagonal carbon nanocone in terms of its basis and dimension

Mathematical analysis of the structure of one-heptagonal carbon nanocone in terms of its basis and dimension

Treatment of Waste Water from Li-ion Batteries Cathode Material Production: Selection of adsorbents

Entropy Related to K-Banhatti Indices via Valency Based on the Presence of C6H6 in Various Molecules

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