Results 1 to 10 of about 461 (137)
On Zagreb coindices and Mostar index of $$TiO_2$$ T i O 2 nanotubes [PDF]
Scientific Reports, 2023 Topological indices are valuable tools in predicting properties of chemical compounds. This study focuses on degree-based topological indices, which have shown strong correlations with various physico-chemical properties such as boiling points and strain
Muhammad Imran +4 more
doaj +5 more sources
Mostar index of graphs associated to groups
Main Group Metal Chemistry, 2022 A bond-additive connectivity index, named as the Mostar index, is used to measure the amount of peripheral edges of a simple connected graph, where a peripheral edge in a graph is an edge whose one end vertex has more number of vertices closer as ...
Rehman Masood Ur +4 more
doaj +3 more sources
On the Extremal Weighted Mostar Index of Bicyclic Graphs
AxiomsLet G be a simple connected graph with edge set E(G) and vertex set V(G). The weighted Mostar index of a graph G is defined as w+Mo(G)=∑e=uv∈E(G)(dG(u)+dG(v))|nu(e)−nv(e)|, where nu(e) denotes the number of vertices closer to u than to v for an edge uv ...
Yuwei He, Mengmeng Liu
doaj +4 more sources
The Mostar and Wiener index of Alternate Lucas Cubes [PDF]
Transactions on Combinatorics, 2023 The Wiener index and the Mostar index quantify two distance related properties of connected graphs: the Wiener index is the sum of the distances over all pairs of vertices and the Mostar index is a measure of how far the graph is from being distance ...
Omer Eğecioğlu +2 more
doaj +5 more sources
Mostar index and edge Mostar index of polymers [PDF]
Computational and Applied Mathematics, 2021 AbstractLet $$G=(V,E)$$ G = ( V , E ) be a graph and $$e=uv\in E$$ e = u
Saeid Alikhani +2 more
exaly +6 more sources
Mostar Index of Cycle-Related Structures [PDF]
Journal of Chemistry, 2022 A topological index is a numerical quantity associated with the molecular structure of a chemical compound. This number remains fixed with respect to the symmetry of a molecular graph.
Fatima Asif +3 more
doaj +3 more sources
The Mostar Index of Fibonacci and Lucas Cubes [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2021 The Mostar index of a graph was defined by Došlić, Martinjak, Škrekovski, Tipurić Spužević and Zubac in the context of the study of the properties of chemical graphs. It measures how far a given graph is from being distance-balanced. In this paper, we determine the Mostar index of two well-known families of graphs: Fibonacci cubes and Lucas cubes.
Elif Saygi, Ömer Eğecioğlu
exaly +6 more sources
A relation between Wiener index and Mostar index for daisy cubes [PDF]
Discrete Mathematics Letters, 2022 Daisy cubes are a class of isometric subgraphs of the hypercubes Q n. Daisy cubes include some previously well known families of graphs like Fibonacci cubes and Lucas cubes. Moreover they appear in chemical graph theory. Two distance invariants, Wiener and Mostar indices, have been introduced in the context of the mathematical chemistry.
Michel Mollard
doaj +4 more sources
Mostar Index of Neural Networks and Applications
IEEE Access, 2023 Neural networks are mathematical models that use learning algorithms inspired by the brain to store information. These networks have been extensively used to operate cognitive functions, robustness, fault tolerance, flexibility, collective computation ...
Fatima Asif +4 more
doaj +2 more sources
The Upper Bound of the Edge Mostar Index with Respect to Bicyclic Graphs
Mathematics, 2023 Let G be a connected graph; the edge Mostar index Moe(G) of G is defined as Moe(G)=∑e=uv∈E(G)|mu(e)−mv(e)|, where mu(e) and mv(e) denote the number of edges in G that are closer to vertex u than to vertex v and the number of edges that are closer to ...
Hui Wang, Mengmeng Liu
doaj +3 more sources