Results 121 to 130 of about 461 (137)

Computation of Mostar index for some graph operations

International Journal of Quantum Chemistry, 2021
AbstractVery recently, a novel bond‐additive topological descriptor named as the Mostar index has been proposed as a measure of peripherality in networks and graphs. In this article, we compute the Mostar index of generalized Hierarchical product, lexicographic product, Cartesian product, corona product, join, subdivision vertex‐edge join and Indu–Bala
Shehnaz Akhter, Zahid Iqbal, Adnan Aslam, Wei Gao   +3 more
openaire   +1 more source

The weighted Mostar index of cacti

Discrete Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mengmeng Liu, Qianqian Zhen
exaly   +2 more sources

On Edge Mostar Index of Graphs

2020
The edge Mostar index 𝑀𝑜𝑒(𝐺) of a connected graph 𝐺 is defined as 𝑀𝑜𝑒(𝐺)=Σ𝑒=𝑢𝑣∈𝐸(𝐺) |𝑚𝑢(𝑒|𝐺)−𝑚𝑣(𝑒|𝐺)|, where 𝑚𝑢(𝑒|𝐺)and 𝑚𝑣(𝑒|𝐺) are, respectively, the number of edges of 𝐺 lying closer to vertex 𝑢 than to vertex 𝑣 and the number of edges of 𝐺 lying closer to vertex 𝑣 than to vertex 𝑢. In this paper, we determine the extremal values of edge Mostar index
Liu, Hechao, Song, Ling, Xiao, Qiqi, Tang, Zikai   +3 more
openaire   +1 more source

Solving the Mostar index inverse problem [PDF]

Journal of Mathematical Chemistry
17 ...
Yaser Alizadeh, Nino Basic, Ivan Damnjanovic   +2 more
exaly   +3 more sources

Extreme hollow hexagons with respect to the Mostar index

The Art of Discrete and Applied Mathematics
Summary: The Mostar index of a connected graph is a well-known distance-based topological index. Hollow hexagons are coronoid systems that represent coronoid hydrocarbons belonging to the class of cycloarenes. They are formed by a single chain in a macro-cyclic arrangement consisting of linearly and angularly annelated hexagons, with exactly six ...
Roberto Cruz, Andrés David Santamaría-Galvis   +1 more
openaire   +4 more sources

On the Maximal Mostar Index of Tree-Type Phenylenes

Polycyclic Aromatic Compounds, 2021
In organic chemistry (especially in polycyclic aromatic compounds), hexagonal and quadrilateral molecular structures are very common.
openaire   +1 more source

Some New Results on Mostar Index of Graphs

2020
A general bond additive index (GBA) can be defined as , where α(e) is edge contributions. The Mostar index is a new topological index whose edge contributions are α(e) = | nu - nv| in which nu is the number of vertices of lying closer to vertex u than to vertex v and nv can be defined similarly.
Ghorbani, Modjtaba, Rahmani, Shaghayegh, Eslampoor, Mohammad   +2 more
openaire   +1 more source

Mostar index of certain classes of bicyclic graphs

Journal of Combinatorial Mathematics and Combinatorial Computing
Summary: The Mostar index (MoI) of a finite and connected graph \(G\) is a measure of asymmetry, focusing on the edge-based structure of the graph. For an edge \(xy\) in \(G\), let \(\gamma_{xy}\) and \(\gamma_{yx}\) denote the cardinalities of the sets of vertices closer to \(x\) and \(y\) respectively, then the Mostar index is defined as: \(\text{MoI}
Asif, Fatima, Kashif, Agha, Zafar, Sohail, Ojiema, Michael Onyango   +3 more
openaire   +2 more sources

Optimal Bounds for the Mostar Index of Chemical Trees

Punjab University Journal of Mathematics
Topological indices are the numerical values of a chemical graph which are uniquely defined for that graph. Topological indices play a pivotal role in Quantitative Structure-Property/Activity Relationship in-vestigations, offering a robust framework for elucidating intricate corre-lations between molecular architecture and physicochemical properties ...
Hafiza Sana Sattar, Saima Mushtaq, Zunera Shoukat   +2 more
openaire   +1 more source

The hexagonal chains with the first three maximal Mostar indices

Discrete Applied Mathematics, 2021
Zikai Tang, Hongbo Hua, Hanyuan Deng
exaly