Results 1 to 10 of about 29 (29)

Hosoya properties of the commuting graph associated with the group of symmetries

open access: yesMain Group Metal Chemistry, 2021
A vast amount of information about distance based graph invariants is contained in the Hosoya polynomial. Such an information is helpful to determine well-known distance based molecular descriptors.
Abbas Ghulam   +4 more
doaj   +1 more source

On inverse sum indeg energy of graphs

open access: yesSpecial Matrices, 2023
For a simple graph with vertex set {v1,v2,…,vn}\left\{{v}_{1},{v}_{2},\ldots ,{v}_{n}\right\} and degree sequence dvii=1,2,…,n{d}_{{v}_{i}}\hspace{0.33em}i=1,2,\ldots ,n, the inverse sum indeg matrix (ISI matrix) AISI(G)=(aij){A}_{{\rm{ISI}}}\left(G ...
Jamal Fareeha   +2 more
doaj   +1 more source

Computing the Hosoya Polynomial of M‐th Level Wheel and Its Subdivision Graph

open access: yesJournal of Chemistry, Volume 2021, Issue 1, 2021., 2021
The determination of Hosoya polynomial is the latest scheme, and it provides an excellent and superior role in finding the Weiner and hyper‐Wiener index. The application of Weiner index ranges from the introduction of the concept of information theoretic analogues of topological indices to the use as major tool in crystal and polymer studies.
Peng Xu   +6 more
wiley   +1 more source

On ve-degree- and ev-degree-based topological properties of crystallographic structure of cuprite Cu2O

open access: yesOpen Chemistry, 2021
In the study of chemical graph theory, an enormous number of research analyses have confirmed that the characteristics of chemicals have a nearby connection with their atomic structure.
Chen Shu-Bo   +4 more
doaj   +1 more source

Non-commuting graph of the dihedral group determined by Hosoya parameters

open access: yesAlexandria Engineering Journal, 2022
Hosoya introduced the concept of graph terminologies in chemistry and provide a modeling for molecules. This modeling leads to predict the chemical properties of molecules, easy classification of chemical compounds, computer simulations and computer ...
Muhammad Salman   +4 more
doaj   +1 more source

On Singular Signed Graphs with Nullspace Spanned by a Full Vector: Signed Nut Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2022
A signed graph has edge weights drawn from the set {+1, −1}, and is sign-balanced if it is equivalent to an unsigned graph under the operation of sign switching; otherwise it is sign-unbalanced.
Bašić Nino   +3 more
doaj   +1 more source

On the first Zagreb index of graphs with Self-Loops

open access: yesAKCE International Journal of Graphs and Combinatorics, 2023
Some of the most comprehensively studied degree-based topological indices are the Zagreb indices. The first Zagreb index [Formula: see text] of a graph G is defined as the sum of squares of the degrees of the vertices.
Shashwath S. Shetty, Arathi Bhat K
doaj   +1 more source

Some topological indices of dendrimers determined by their Banhatti polynomials

open access: yesHeterocyclic Communications, 2020
Several properties of chemical compounds in a molecular structure can be determined with the aid of mathematical languages provided by various types of topological indices.
Chu Zheng-Qing   +6 more
doaj   +1 more source

The minimum matching energy of unicyclic graphs with fixed number of vertices of degree two

open access: yesOpen Mathematics
The number of jj-matchings in a graph HH is denote by m(H,j)m\left(H,j). If for two graphs H1{H}_{1} and H2{H}_{2}, m(H1,j)≥m(H2,j)m\left({H}_{1},j)\ge m\left({H}_{2},j) for all jj, then we write H1≽H2{H}_{1}\succcurlyeq {H}_{2}.
Bai Yongqiang, Ma Hongping, Zhang Xia
doaj   +1 more source

Harmonic‐Arithmetic Index: Lower Bound for n‐Order Trees With Fixed Number of Pendant Vertices and Monogenic Semigroup for Graph Operations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
Graph theory combined with chemistry provides a strong framework for modeling and assessing chemical compounds. By representing molecules as graphs and applying topological indices, chemists can gain profound insights into the physical and chemical characteristics of compounds.
Kalpana R.   +2 more
wiley   +1 more source

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