Edge general position sets in Fibonacci and Lucas cubes

S Klavžar, E Tan - Bulletin of the Malaysian Mathematical Sciences …, 2023 - Springer
A set of edges X⊆ E (G) of a graph G is an edge general position set if no three edges from
X lie on a common shortest path in G. The cardinality of a largest edge general position set …

Maximizing the Mostar index for bipartite graphs and split graphs

Š Miklavič, J Pardey, D Rautenbach, F Werner - Discrete Optimization, 2023 - Elsevier
Došlić et al. defined the Mostar index of a graph G as∑ uv∈ 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 …

[图书][B] Fibonacci Cubes with Applications and Variations

O Egecioglu, S Klavzar, M Mollard - 2023 - books.google.com
Fibonacci Cubes have been an extremely popular area of research since the 1990s. This
unique compendium features the state of research into Fibonacci Cubes. It expands the …

[PDF][PDF] Weighted Mostar indices of certain graphs

P Kandan, S Subramanian, P Rajesh - Adv. Math. Sci. J, 2021 - researchgate.net
Chemical graph theory is a mixture of chemistry and mathematics both play an important
role in chemical graph theory. Chemistry provides a chemical compound and graph theory …

A relation between Wiener index and Mostar index for daisy cubes

M Mollard - arXiv preprint arXiv:2202.09068, 2022 - arxiv.org
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 …

Bounding the Mostar index

Š Miklavič, J Pardey, D Rautenbach, F Werner - Discrete Mathematics, 2024 - Elsevier
Došlić et al. defined the Mostar index of a graph G as M o (G)=∑ uv∈ 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 …

Mostar index and bounded maximum degree

MA Henning, J Pardey, D Rautenbach… - arXiv preprint arXiv …, 2023 - arxiv.org
Do\v {s} li\'{c} et al. defined the Mostar index of a graph $ G $ as $ Mo (G)=\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) …

The Mostar and Wiener index of alternate Lucas cubes

Ö Eğecioğlu, E Sayg, Z Saygi - Transactions on Combinatorics, 2023 - toc.ui.ac.ir
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 …