Results 171 to 180 of about 4,327,461 (194)

Extremal phenylene chains with respect to the Mostar index

Discrete Mathematics, Algorithms and Applications, 2021
For a connected graph [Formula: see text], the Mostar index is defined as [Formula: see text], where [Formula: see text] (respectively, [Formula: see text]) is the number of vertices of [Formula: see text] closer to [Formula: see text] (respectively, [Formula: see text]) than [Formula: see text] (respectively, [Formula: see text]).
Chen, Hanlin, Liu, Hechao, Xiao, Qiqi, Zhang, Jinlian   +3 more
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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
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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 ...
Cruz, Roberto, Santamaría-Galvis, Andrés David   +1 more
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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.
Hechao Liu
openaire   +2 more sources

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
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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
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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
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Resolving the Open Problem by Proving a Conjecture on the Inverse Mostar Index for c-Cyclic Graphs

Symmetry
Inverse topological index problems involve determining whether a graph exists with a given integer as its topological index. One such index, the Mostar index, Mo(G), is defined as Mo(G)=∑uv∈E(G)|nu(e|G)−nv(e|G)|, where nu(e|G) and nv(e|G) represent the ...
L. Alex, K. Das
semanticscholar   +1 more source

Calculation and comparison of energy and energy based on Mostar index of the double-star graph and its line graph

Journal of Discrete Mathematical Sciences & Cryptography
The double-star line graph is a graph built from two complete graphs of order a+1 that share a common vertex, for every positive integer a ≥ 1. In this article, we investigate concepts of energy and energy based on the Mostar index of Dsa and LDsa graphs
Zohreh Rajabinejad, S. Semnani
semanticscholar   +1 more source

Edge Mostar index of trees with fixed diameter and fixed pendent vertices

Ars combinatoria
The Mostar invariants are newly introduced bond-additive, distance-related descriptors that compute the degree of peripherality of specific edges as well as the entire graph.
Shehnaz Akhter, Sourav Mondal, Zahid Raza   +2 more
semanticscholar   +1 more source