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A Comparison Study on Static Index and Supernumerary Number of Directed and Total Directed Graphs.

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Title: A Comparison Study on Static Index and Supernumerary Number of Directed and Total Directed Graphs.
Authors: Priya, S. Mahesh1 maheshpriya1540@gmail.com, Kamaraj, M.2 kamarajm17366@gmail.com
Source: IAENG International Journal of Applied Mathematics. Mar2026, Vol. 56 Issue 3, p894-901. 8p.
Subjects: Directed graphs, Mathematical bounds, Edges (Geometry), Graph theory
Abstract: An Engender edge set of directed graph is introduced in this paper. In addition, we have established a Static index number and Supernumerary number of directed graphs. Also, we have studied some relationship between Static index number of directed graphs, and relationship between Supernumerary number of directed and total directed graphs. Our results reveal some bounds on the Static index number and supernumerary number of directed and total directed graphs. [ABSTRACT FROM AUTHOR]
Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 191967187
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PubType: Academic Journal
PubTypeId: academicJournal
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  Label: Title
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  Data: A Comparison Study on Static Index and Supernumerary Number of Directed and Total Directed Graphs.
– Name: Author
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  Data: <searchLink fieldCode="AR" term="%22Priya%2C+S%2E+Mahesh%22">Priya, S. Mahesh</searchLink><relatesTo>1</relatesTo><i> maheshpriya1540@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Kamaraj%2C+M%2E%22">Kamaraj, M.</searchLink><relatesTo>2</relatesTo><i> kamarajm17366@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Mar2026, Vol. 56 Issue 3, p894-901. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Directed+graphs%22">Directed graphs</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+bounds%22">Mathematical bounds</searchLink><br /><searchLink fieldCode="DE" term="%22Edges+%28Geometry%29%22">Edges (Geometry)</searchLink><br /><searchLink fieldCode="DE" term="%22Graph+theory%22">Graph theory</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: An Engender edge set of directed graph is introduced in this paper. In addition, we have established a Static index number and Supernumerary number of directed graphs. Also, we have studied some relationship between Static index number of directed graphs, and relationship between Supernumerary number of directed and total directed graphs. Our results reveal some bounds on the Static index number and supernumerary number of directed and total directed graphs. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Code: eng
        Text: English
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        PageCount: 8
        StartPage: 894
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      – SubjectFull: Directed graphs
        Type: general
      – SubjectFull: Mathematical bounds
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      – SubjectFull: Edges (Geometry)
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      – SubjectFull: Graph theory
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      – TitleFull: A Comparison Study on Static Index and Supernumerary Number of Directed and Total Directed Graphs.
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              Text: Mar2026
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              Y: 2026
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