Results 71 to 80 of about 1,106 (97)

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

open access: yesFrontiers 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   +5 more
doaj   +1 more source

Graph measures and network robustness

open access: yes, 2013
Network robustness research aims at finding a measure to quantify network robustness. Once such a measure has been established, we will be able to compare networks, to improve existing networks and to design new networks that are able to continue to ...
Ellens, W., Kooij, R. E.
core  

The Smallest Harmonic Index of Trees with Given Maximum Degree

open access: yesDiscussiones 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

Diameters of commuting graphs of matrices over semirings

open access: yes, 2010
We calculate the diameters of commuting graphs of matrices over the binary Boolean semiring, the tropical semiring and an arbitrary nonentire commutative semiring.
Bukovšek, Damjana Kokol   +2 more
core  

The general position problem and strong resolving graphs

open access: yesOpen 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

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

open access: yesHeliyon, 2023
Shah A, Javaid I, Rehman SU.
europepmc   +1 more source

Strong edge geodetic problem in networks

open access: yesOpen 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   +4 more
doaj   +1 more source

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

open access: yesMolecules, 2023
Chu ZQ   +5 more
europepmc   +1 more source

Four-point condition matrices of edge-weighted trees

open access: yesSpecial Matrices
Formulas for the determinant of distance matrix DT{D}_{T} of tree TT are known in the unweighted case and in the case when the edges of TT have commuting variable weights. Associated with the four-point condition (4PC) and a tree TT are two matrices, the
Azimi Ali   +3 more
doaj   +1 more source

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