Topological Indices of the Non-commuting Graph for Generalised Quaternion Group
A topological index is a numerical value associated with chemical constitution for correlation of chemical structure with various physical properties and chemical reactivity. It is calculated from a graph representing a molecule. Meanwhile, the non-commuting graph, Γ G of G , is defined as a graph o...
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| Veröffentlicht in: | Bulletin of the Malaysian Mathematical Sciences Society 2020-09, Vol.43 (5), p.3361-3367 |
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| container_title | Bulletin of the Malaysian Mathematical Sciences Society |
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| creator | Sarmin, Nor Haniza Alimon, Nur Idayu Erfanian, Ahmad |
| description | A topological index is a numerical value associated with chemical constitution for correlation of chemical structure with various physical properties and chemical reactivity. It is calculated from a graph representing a molecule. Meanwhile, the non-commuting graph,
Γ
G
of
G
, is defined as a graph of vertex set whose vertices are non-central elements and two distinct vertices are joined by an edge if and only if they do not commute. The main objective of this article is to determine the general formula of some topological indices, namely Wiener index, first Zagreb index and second Zagreb index for the non-commuting graph associated with generalised quaternion group in terms of
n
. |
| doi_str_mv | 10.1007/s40840-019-00872-z |
| format | Article |
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Γ
G
of
G
, is defined as a graph of vertex set whose vertices are non-central elements and two distinct vertices are joined by an edge if and only if they do not commute. The main objective of this article is to determine the general formula of some topological indices, namely Wiener index, first Zagreb index and second Zagreb index for the non-commuting graph associated with generalised quaternion group in terms of
n
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Γ
G
of
G
, is defined as a graph of vertex set whose vertices are non-central elements and two distinct vertices are joined by an edge if and only if they do not commute. The main objective of this article is to determine the general formula of some topological indices, namely Wiener index, first Zagreb index and second Zagreb index for the non-commuting graph associated with generalised quaternion group in terms of
n
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Γ
G
of
G
, is defined as a graph of vertex set whose vertices are non-central elements and two distinct vertices are joined by an edge if and only if they do not commute. The main objective of this article is to determine the general formula of some topological indices, namely Wiener index, first Zagreb index and second Zagreb index for the non-commuting graph associated with generalised quaternion group in terms of
n
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| ispartof | Bulletin of the Malaysian Mathematical Sciences Society, 2020-09, Vol.43 (5), p.3361-3367 |
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| language | eng |
| recordid | cdi_proquest_journals_2450351192 |
| source | SpringerNature Journals |
| subjects | Apexes Applications of Mathematics Commuting Graph theory Graphical representations Mathematics Mathematics and Statistics Physical properties Quaternions Topology |
| title | Topological Indices of the Non-commuting Graph for Generalised Quaternion Group |
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