Distance Degree Index of Some Derived Graphs

Xu, Jianzhong; Liu, Jia‐Bao; Bilal, Ahsan; Ahmad, Uzma; Siddiqui, Hafız Muhammad Afzal; Ali, Bahadur; Farahani, Mohammad Reza

doi:10.3390/math7030283

Cited by 13 publications

(8 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Yan et al [11] de ned the new graphs called as subdivided graph S(G), vertex-total graph R(G), edge-total graph Q(G) and total graph T(G) with the help of the subdivision-related operations S, R, Q and T respectively. Xu et al [12] have determined the degree distance index of the derived graphs. Bahadur et al [13] have determined Gutman index of derived graphs.…”

Section: Introductionmentioning

confidence: 99%

Computing Connection Distance Index of Derived Graphs

Farid

Javaid

Bonyah³

2022

Mathematical Problems in Engineering

View full text Add to dashboard Cite

Distance based topological indices (TIs) play a vital role in the study of various structural and chemical aspects for the molecular graphs. The first distance-based TI is used to find the boiling point of paraffin. The connection distance (CD) index is a latest developed TI that is defined as the sum of all the products of distances between pair of vertices with the sum of their respective connection numbers . In this paper, we computed CD indices of the different derived graphs (subdivision graph S G , vertex-semitotal graph R G , edge-semitotal graph Q G and total graph T G obtained from the graph G under various operations of subdivision in the form of degree distance (DD) and CD indices of the basic graphs including some other algebraic expressions.

show abstract

Section: Introductionmentioning

confidence: 99%

Computing Connection Distance Index of Derived Graphs

Farid

Javaid

Bonyah³

2022

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…Topological index is a part of chemical graph theory which correlates the physicochemical properties such as freezing point, boiling point, melting point, infrared spectrum, electronic parameters, viscosity, and density of the underlying chemical graphs. e reader can find bulk of papers on topological indices which have been in print so far [1][2][3][4][5].…”

Section: Introduction and Applicationsmentioning

confidence: 99%

Degree-Based Topological Indices of Boron B12

Saeed

Long

Mufti

et al. 2021

Journal of Chemistry

View full text Add to dashboard Cite

Topological index sometimes called molecular descriptor is a numerical value which associates a chemical composition for correlating chemical structure with numerous physical properties, chemical reactivity, or biological activity. In this paper, we study some topological indices of boron and try to correlate the physicochemical properties such as freezing points, boiling points, melting points, infrared spectrum, electronic parameters, viscosity, and density of chemical graphs. We discuss these topological indices, and some of them are mentioned here such as Randic index, the first general Zagreb index, the general sum connectivity index, hyper-Zagreb index (HM), the atom-bond connectivity index (ABC), the geometric-arithmetic index (GA), the harmonic index (H), and the forgotten index (F).

show abstract

“…where d u denotes the degree of a vertex u. Recent studies on Zagreb indices and distance based indices may be found in Liu et al (2019), Siddiqui (2020), and Xu et al (2019). In 1998, ABC-index were introduced by Estrada et al (1998).…”

Section: Introductionmentioning

confidence: 99%

Forgotten coindex of some non-toxic dendrimers structure used in targeted drug delivery

Ali

Bibi

Kiran

2021

Main Group Metal Chemistry

View full text Add to dashboard Cite

In recent past, porphyrin-based dendrimers have gained great attraction due to their usefulness in nano devices and photo-dynamic therapy. New technologies based upon nano-materials or dendrimers have potential to overcome the problems due to conventional drug delivery, like toxicity, poor solubility and poor release pattern of drugs. The chemical and physical properties of these highly branched nanometer sized dendrimers depend on their structure. In chemical network theory, various topological indices are used to predict chemical properties of molecules(dendrimers). Among many useful topological descriptors forgotten coindex is relatively less explored but is found very useful in material engineering, pharmaceutical and chemical industries. In this article, we consider some special dendrimers, like poly(propyl) ether imine, porphyrin, and zinc-porphyrin, and nanostars like D 1[k] and D 2[k] and compute forgotten coindex for these important structures.

show abstract

Distance Degree Index of Some Derived Graphs

Cited by 13 publications

References 23 publications

Computing Connection Distance Index of Derived Graphs

Computing Connection Distance Index of Derived Graphs

Degree-Based Topological Indices of Boron B12

Forgotten coindex of some non-toxic dendrimers structure used in targeted drug delivery

Contact Info

Product

Resources

About