Cut method: update on recent developments and equivalence of independent approaches

S Klavzar, MJ Nadjafi-Arani - Current Organic Chemistry, 2015 - ingentaconnect.com
The cut method is a powerful tool for the investigation of distance-based (and some other)
molecular structure-descriptors. In this paper a survey on the recent developments of the …

[PDF][PDF] Steiner gutman index

Y Mao, KC Das - MATCH Commun. Math. Comput. Chem, 2018 - match.pmf.kg.ac.rs
v∈ S degG (v)] dG (S), where dG (S) is the Steiner distance of S and degG (v) is the degree
of v in G. Expressions for SGutk for some special graphs are obtained. We also give sharp …

On Steiner degree distance of trees

I Gutman - Applied Mathematics and Computation, 2016 - Elsevier
Let G be a connected graph, and u, v, w its vertices. By du is denoted the degree of the
vertex u, by d (u, v) the (ordinary) distance of the vertices u and v, and by d (u, v, w) the …

[HTML][HTML] Distance degree index of some derived graphs

J Xu, JB Liu, A Bilal, U Ahmad, HMA Siddiqui, B Ali… - Mathematics, 2019 - mdpi.com
Topological indices are numerical values associated with a graph (structure) that can predict
many physical, chemical, and pharmacological properties of organic molecules and …

[PDF][PDF] Steiner degree distance

Y Mao, Z Wang, I Gutman… - MATCH Commun. Math …, 2017 - match.pmf.kg.ac.rs
Steiner Degree Distance∗ Page 1 Steiner Degree Distance∗ Ya** Mao1, Zhao Wang2, Ivan
Gutman3, Antoaneta Klobucar4 1Department of Mathematics, Qinghai Normal, University, **ning …

[HTML][HTML] The degree resistance distance of cacti

J Du, G Su, J Tu, I Gutman - Discrete Applied Mathematics, 2015 - Elsevier
Graph invariants, based on the distances between the vertices of a graph, are widely used in
theoretical chemistry. The degree resistance distance of a graph G is defined as DR …

On some degree-and-distance-based graph invariants of trees

I Gutman, B Furtula, KC Das - Applied Mathematics and Computation, 2016 - Elsevier
Let G be a connected graph with vertex set V (G). For u, v∈ V (G), d (v) and d (u, v) denote
the degree of the vertex v and the distance between the vertices u and v. A much studied …

[PDF][PDF] Properties of degree distance and Gutman index of uniform hypergraphs

H Guo, B Zhou - MATCH Commun. Math. Comput. Chem, 2017 - match.pmf.kg.ac.rs
Klein et al. found in [Molecular topological index: a relation with the Wiener index, J. Chem.
Inf. Comput. Sci. 32 (1992) 304–305] a relation between degree distance and Wiener index …

[PDF][PDF] Extremal (n, m)-graphs with respect to distance-degree-based topological indices

K Xu, S Klavzar, KC Das, J Wang - MATCH Commun. Math. Comput …, 2014 - academia.edu
Extremal (n, m)-Graphs with Respect to Distance–Degree–Based Topological Indices Page 1
Extremal (n, m)-Graphs with Respect to Distance–Degree–Based Topological Indices Kexiang …

[HTML][HTML] The asymptotic value of energy for matrices with degree-distance-based entries of random graphs

X Li, Y Li, Z Wang - Linear Algebra and its Applications, 2020 - Elsevier
For a graph G=(V, E) and i, j∈ V, denote the distance between i and j in G by D (i, j) and the
degrees of i, j by di, dj, respectively. Let f (D (i, j), di, dj) be a function symmetric in i and j …