Results 31 to 40 of about 75 (74)

Computation of Differential, Integral Operators and Quantitative Structure–Property Analysis of Boron α‐Icosahedral Nanosheet

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In its crystalline state, the α‐icosahedral nanosheet of boron demonstrates superconductivity and thermal electronic properties. Mathematical research on a graph’s structure yields a graph descriptor, a numerical measure. Chemical graph theory employs connectivity descriptors to analyze molecular structures, providing crucial insights into many ...
Khalil Hadi Hakami, Abdul Rauf Khan, Saad Amin Bhatti, R. Sundareswaran   +3 more
wiley   +1 more source

Indices analysis of hexa organic molecular structures together with fundamental insights of a novel connectivity index

Main Group Metal Chemistry
Topological indices play a central role in mathematical chemistry for correlating structural features of molecular graphs with physicochemical properties.
Noreen Tahira, Salman Muhammad
doaj   +1 more source

Computing Some Topological Indices of Two Kinds of Dendrimer Graphs G[n] and H[n]

Journal of Mathematics, Volume 2024, Issue 1, 2024.
Dendrimer molecules are macromolecules which have many applications in nanosciences, drug delivery, biology, and different areas of sciences. Topological indices of chemical graph theory are numerical descriptor of a molecular structure. The dendrimer graph G[n] is obtained by attaching the new paths P9, joined each pendant vertex of G[n − 1] to ...
Hojat Kaviani, Lotfallah Pourfaraj, Huadong Su   +2 more
wiley   +1 more source

Study on (r, s)-generalised transformation graphs, a novel perspective based on transformation graphs

Main Group Metal Chemistry
For a graph Q=(V,E){\mathbb{Q}}=\left({\mathbb{V}},{\mathbb{E}}), the transformation graph are defined as graphs with vertex set being V(Q)∪E(Q){\mathbb{V}}\left({\mathbb{Q}})\cup {\mathbb{E}}\left({\mathbb{Q}}) and edge set is described following ...
Ali Parvez, Baby Annmaria, Xavier D. Antony, Theertha Nair A., Ali Haidar, Kirmani Syed Ajaz K.   +5 more
doaj   +1 more source

The minimum exponential atom-bond connectivity energy of trees

Special Matrices
Let G=(V(G),E(G))G=\left(V\left(G),E\left(G)) be a graph of order nn. The exponential atom-bond connectivity matrix AeABC(G){A}_{{e}^{{\rm{ABC}}}}\left(G) of GG is an n×nn\times n matrix whose (i,j)\left(i,j)-entry is equal to ed(vi)+d(vj)−2d(vi)d(vj){e}^
Gao Wei
doaj   +1 more source

Indeks Padmakar-Ivan dan indeks Randic pada graf non-koprima dari grup bilangan bulat modulo

Majalah Ilmiah Matematika dan Statistika
Graph theory, introduced by the Swiss mathematician Leonhard Euler in 1736, has played a pivotal role in solving real-world problems since its inception, notably exemplified by Euler's solution to the Konigsberg Bridge problem. Its applications extend to
Lalu Hasan Ghoffari, I Gede Adhitya Wisnu Wardhana, Abdurahim Abdurahim   +2 more
doaj   +1 more source

Magnetic separation in graphs

Mathematical and Computer Modelling of Dynamical Systems
Vertex and edge operations are very popular tools in studying several properties of graphs, as they help us to calculate complex statements by means of easier or well-known ones. Deletion is probably the most important graph operation.
Hacer Ozden Ayna, Ismail Naci Cangul
doaj   +1 more source

On the maximum atom-bond sum-connectivity index of graphs

Open Mathematics
The atom-bond sum-connectivity (ABS) index of a graph GG with edges e1,…,em{e}_{1},\ldots ,{e}_{m} is the sum of the numbers 1−2(dei+2)−1\sqrt{1-2{\left({d}_{{e}_{i}}+2)}^{-1}} over 1≤i≤m1\le i\le m, where dei{d}_{{e}_{i}} is the number of edges adjacent
Alraqad Tariq, Saber Hicham, Ali Akbar, Albalahi Abeer M.   +3 more
doaj   +1 more source

A new method for computing the vertex PI index with applications to special classes of graphs

AKCE International Journal of Graphs and Combinatorics
The Padmakar-Ivan (PI) index of a graph G is given by [Formula: see text], where [Formula: see text] is the number of equidistant vertices for the edge e.
S. C. Manju, K. Somasundaram, Yilun Shang   +2 more
doaj   +1 more source

On the eccentric atom-bond sum-connectivity index of trees and unicyclic graphs with given diameter

Open Mathematics
The eccentric atom-bond sum-connectivity index (ABSC e) of a graph G is defined as ABSCe(G)=∑uv∈E(G)eu+ev−2eu+ev $ABS{C}_{e}\left(G\right)={\sum }_{uv\in E\left(G\right)}\sqrt{\frac{{e}_{u}+{e}_{v}-2}{{e}_{u}+{e}_{v}}}$ , where e u and e v represent the ...
Song Rui
doaj   +1 more source