Results 11 to 20 of about 3,615,332 (134)

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, Elif Sayg, Zülfükar Sayg   +2 more
doaj   +3 more sources

On the inverse mostar index problem for molecular graphs [PDF]

Transactions on Combinatorics
Mostar indices are recently proposed distance-based graph invariants, that already have been much investigated and found applications. In this paper, we investigate the inverse problem for Mostar indices of unicyclic and bicyclic molecular graphs.
Liju Alex, Ivan Gutman
doaj   +3 more sources

Mostar Index of Cycle-Related Structures

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, Agha Kashif, Sohail Zafar, Michael Onyango Ojiema   +3 more
doaj   +2 more sources

On Mostar and Edge Mostar Indices of Graphs

Journal of Mathematics, 2021
Let G be a graph with edge set EG and e=uv∈EG. Define nue,G and mue,G to be the number of vertices of G closer to u than to v and the number of edges of G closer to u than to v, respectively. The numbers nve,G and mve,G can be defined in an analogous way.
Ali Ghalavand, Ali Reza Ashrafi, Mardjan Hakimi-Nezhaad   +2 more
doaj   +2 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.
Michel Mollard
doaj   +3 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, Agha Kashif, Sohail Zafar, Amer Aljaedi, Umar Albalawi   +4 more
doaj   +1 more source

On Distance-Based Topological Descriptors of Chemical Interconnection Networks

Journal of Mathematics, 2021
Structure-based topological descriptors of chemical networks enable us the prediction of physico-chemical properties and the bioactivities of compounds through QSAR/QSPR methods.
Min Hu, Haidar Ali, Muhammad Ahsan Binyamin, Bilal Ali, Jia-Bao Liu, Chengmei Fan   +5 more
doaj   +1 more source

Maximizing the Mostar index for bipartite graphs and split graphs [PDF]

, 2022
Do\v{s}li\'{c} et al.~defined the Mostar index of a graph $G$ as $\sum\limits_{uv\in E(G)}|n_G(u,v)-n_G(v,u)|$, where, for an edge $uv$ of $G$, the term $n_G(u,v)$ denotes the number of vertices of $G$ that have a smaller distance in $G$ to $u$ than to ...
Miklavič, Štefko, Pardey, Johannes, Rautenbach, Dieter, Werner, Florian   +3 more
core   +1 more source

A New Alternative to Szeged, Mostar, and PI Polynomials—The SMP Polynomials

Mathematics, 2023
Szeged-like topological indices are well-studied distance-based molecular descriptors, which include, for example, the (edge-)Szeged index, the (edge-)Mostar index, and the (vertex-)PI index.
Martin Knor, Niko Tratnik
doaj   +1 more source

FADI Evaluation of the Effects of Kinesitherapy after Ankle Fracture

Acta Clinica Croatica, 2023
The aim of the study was to analyze the values of Foot and Ankle Disability Index (FADI) after kinesitherapy in subjects with bimalleolar or trimalleolar fracture of the ankle after surgery treatment and the obtained values of manual muscle test (MMT ...
Vanda Zovko Omeragić, Edina Tanović, Edin Mešanović, Muris Pecar   +3 more
doaj   +1 more source