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Extremum Modified First Zagreb Connection Index of n-Vertex Trees with Fixed Number of Pendent Vertices
Joint Authors
Bhatti, Akhlaq Ahmad
Ali, Akbar
Noureen, Sadia
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-27
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The modified first Zagreb connection index ZC1∗ is a graph invariant that appeared about fifty years ago within a study of molecular modeling, and after a long time, it has been revisited in two papers ((Ali and Trinajstić, 2018) and (Naji et al., 2017)) independently.
For a graph G, this graph invariant is defined as ZC1∗G=∑v∈VGdvτv, where dv is the degree of the vertex v and τv is the connection number of v (that is, the number of vertices having distance 2 from v).
In this paper, the graphs with maximum/minimum ZC1∗ value are characterized from the class of all n-vertex trees with fixed number of pendent vertices (that are the vertices of degree 1).
American Psychological Association (APA)
Noureen, Sadia& Bhatti, Akhlaq Ahmad& Ali, Akbar. 2020. Extremum Modified First Zagreb Connection Index of n-Vertex Trees with Fixed Number of Pendent Vertices. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1152976
Modern Language Association (MLA)
Noureen, Sadia…[et al.]. Extremum Modified First Zagreb Connection Index of n-Vertex Trees with Fixed Number of Pendent Vertices. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1152976
American Medical Association (AMA)
Noureen, Sadia& Bhatti, Akhlaq Ahmad& Ali, Akbar. Extremum Modified First Zagreb Connection Index of n-Vertex Trees with Fixed Number of Pendent Vertices. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1152976
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152976