Results 61 to 70 of about 140 (88)

On Topological Indices of mth Chain Hex-Derived Network of Third Type

Frontiers in Physics, 2020
In theoretical chemistry, the numerical parameters that are used to characterize the molecular topology of graphs are called topological indices. Several physical and chemical properties like boiling point, entropy, heat formation, and vaporization ...
Yuhong Huo, Haidar Ali, Muhammad Ahsan Binyamin, Syed Sheraz Asghar, Usman Babar, Jia-Bao Liu   +5 more
doaj   +1 more source

The Smallest Harmonic Index of Trees with Given Maximum Degree

Discussiones Mathematicae Graph Theory, 2018
The harmonic index of a graph G, denoted by H(G), is defined as the sum of weights 2/[d(u) + d(v)] over all edges uv of G, where d(u) denotes the degree of a vertex u. In this paper we establish a lower bound on the harmonic index of a tree T.
Rasi Reza, Sheikholeslami Seyed Mahmoud
doaj   +1 more source

The general position problem and strong resolving graphs

Open Mathematics, 2019
The general position number gp(G) of a connected graph G is the cardinality of a largest set S of vertices such that no three pairwise distinct vertices from S lie on a common geodesic.
Klavžar Sandi, Yero Ismael G.
doaj   +1 more source

Computational analysis for eccentric neighborhood Zagreb indices and their significance. [PDF]

Heliyon, 2023
Ahmed H, Saleh A, Ismail R, M RS, Alameri A.   +4 more
europepmc   +1 more source

Strong edge geodetic problem in networks

Open Mathematics, 2017
Geodesic covering problems form a widely researched topic in graph theory. One such problem is geodetic problem introduced by Harary et al. [Math. Comput. Modelling, 1993, 17, 89-95].
Manuel Paul, Klavžar Sandi, Xavier Antony, Arokiaraj Andrew, Thomas Elizabeth   +4 more
doaj   +1 more source

Symmetries and symmetry-breaking in arithmetic graphs. [PDF]

Heliyon, 2023
Shah A, Javaid I, Rehman SU.
europepmc   +1 more source

Coloring the vertices of a graph with mutual-visibility property

Open Mathematics
Given a graph GG, a mutual-visibility coloring of GG is a coloring of the vertices of GG satisfying the following. Two vertices x,y∈V(G)x,y\in V\left(G) can be colored with the same color, if there is a shortest x,yx,y-path whose internal vertices have ...
Klavžar Sandi, Kuziak Dorota, Tripodoro Juan Carlos Valenzuela, Yero Ismael G.   +3 more
doaj   +1 more source

Comparative Study of Planar Octahedron Molecular Structure via Eccentric Invariants. [PDF]

Molecules, 2023
Chu ZQ, Ali H, Ali DA, Nadeem M, Kirmani SAK, Ali P.   +5 more
europepmc   +1 more source

Biochemical phenotyping of paroxysmal nocturnal hemoglobinuria reveals solute carriers and β-oxidation deficiencies. [PDF]

PLoS One, 2023
Yamakawa PE, Fonseca AR, Guerreiro da Silva IDC, Gonçalves MV, Marchioni DM, Carioca AAF, Michonneau D, Arrais-Rodrigues C.   +7 more
europepmc   +1 more source

On the spectral radius and energy of the degree distance matrix of a connected graph

Open Mathematics
Let GG be a simple connected graph on nn vertices. The degree of a vertex v∈V(G)v\in V\left(G), denoted by dv{d}_{v}, is the number of edges incident with vv and the distance between any two vertices u,v∈V(G)u,v\in V\left(G), denoted by duv{d}_{uv}, is ...
Khan Zia Ullah, Hameed Abdul
doaj   +1 more source