Results 31 to 40 of about 78 (66)

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

On the Multiplicative Sum Zagreb Index of Molecular Trees With Given Order and Number of Branching Vertices

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The multiplicative sum Zagreb index of a graph G is defined as the product of the sum of the degrees of adjacent vertices of G. A molecular tree is an acyclic connected graph with maximum degree at most 4. A vertex in a molecular tree with degree 3 or 4 is referred to as a branching vertex. In this paper, we consider the class of all molecular trees of
Sadia Noureen, Mubashar Abbas, Abdulaziz Mutlaq Alotaibi, Jaya Percival Mazorodze, Taher S. Hassan, Akbar Ali, Zafar Ullah   +6 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

On $ h $-integral Sombor indices [PDF]

In 2021, Ivan Gutman introduced the Sombor index, a new vertex-degree-based topological index with significant geometric meaning. This index has shown remarkable growth in research activity in recent years.
Edil D. Molina, Jorge Batanero, José M. Rodríguez   +2 more
core   +1 more source

On the maximum atom-bond sum-connectivity index of molecular trees

AKCE International Journal of Graphs and Combinatorics
Let G be a graph with V(G) and E(G), as vertex set and edge set, respectively. The atom-bond sum-connectivity (ABS) index is a vertex-based topological index which is defined as [Formula: see text] where [Formula: see text] is the degree of the vertex a.
Zhonglin Cheng, Akbar Jahanbani, Jun Wang   +2 more
doaj   +1 more source

On the spectral radius and energy of the degree distance matrix of a connected graph

Open Mathematics
Let GG be a simple connected graph on nn vertices. The degree of a vertex v∈V(G)v\in V\left(G), denoted by dv{d}_{v}, is the number of edges incident with vv and the distance between any two vertices u,v∈V(G)u,v\in V\left(G), denoted by duv{d}_{uv}, is ...
Khan Zia Ullah, Hameed Abdul
doaj   +1 more source

New bounds on Zagreb connection indices for trees with fixed domination number

AKCE International Journal of Graphs and Combinatorics
A set D of vertices in a graph G is a dominating set of G if every vertex not in D is adjacent to a vertex in D. The domination number, [Formula: see text], is the minimum cardinality among all dominating sets of G.
H. Rahbani, H. Abdollahzadeh Ahangar, Michael A. Henning   +2 more
doaj   +1 more source

Upper bounds for the global cyclicity index

Open Mathematics
We find new upper bounds for the global cyclicity index, a variant of the Kirchhoff index, and discuss the wide family of graphs for which the bounds are attained.
Palacios José Luis
doaj   +1 more source

Further study of eccentricity based indices for benzenoid hourglass network. [PDF]

Heliyon, 2023
Iqbal H, Aftab MH, Aftab MH, Akgul A, Mufti ZS, Yaqoob I, Bayram M, Riaz MB.   +7 more
europepmc   +1 more source