Advances and Applications in Discrete Mathematics

The Advances and Applications in Discrete Mathematics is a prestigious peer-reviewed journal indexed in the Emerging Sources Citation Index (ESCI). It is dedicated to publishing original research articles in the field of discrete mathematics and combinatorics, including topics such as graphs, coding theory, and block design. The journal emphasizes efficient and powerful tools for real-world applications and welcomes expository articles that highlight current developments in the field.

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CO-EVEN HUB NUMBER OF A GRAPH

Authors

  • Veena Mathad
  • S. Puneeth

Keywords:

co-even hub number, hub number, complement of a graph, trees

DOI:

https://doi.org/10.17654/0974165823051

Abstract

Hub number is a graph parameter introduced by modelling a transportation problem for rapid transit in any system. In this paper, we coin a new hub parameter called co-even hub number of graphs and study its nature by discussing few properties and bounds. In addition, the co-even hub number value is deduced for some standard graphs, and its complements.

Received: April 28, 2023 
Revised: May 22, 2023 
Accepted: June 28, 2023 

References

B. Basavanagoud, Mahammadsadiq Sayyed and B. Pooja, Hub number of generalized transformation graphs, Annals of Mathematics and Computer Science 8 (2022), 1-10.

F. Harary, Graph Theory, Addison Wesley, Reading Mass, 1969.

S. I. Khalaf and V. Mathad, Hub and global hub numbers of a graph, Proc. Jangjeon Math. Soc. 23(2) (2020), 231-239.

Veena Mathad, Anand and S. Puneeth, Bharath hub number of graphs, TWMS J. App. and Eng. Math. 13(2) (2023), 661-669.

Veena Mathad, Shadi Ibrahim Khalaf and H. N. Sujatha, Accurate hub number of graphs, International Journal of Applied Engineering Research 17(5) (2022), 455-457.

Peter Johnson, Peter Slater and Matt Walsh, The connected hub number and the connected domination number, Networks 3(58) (2011), 232-237.

E. Sampathkumar and H. B. Walikar, The connected domination number of a graph, J. Math. Phys. Sci. 13 (1979), 607-613.

M. M. Shalaan and A. A. Omran, Co-even domination in graphs, International Journal of Control and Automation 13(3) (2020), 330-334.

M. Walsh, The hub number of a graph, Int. J. Math. Comput. Sci. 1 (2006), 117 124.

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Published

2023-07-06

Issue

Vol. 39 No. 2 (2023)

Section

Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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How to Cite

CO-EVEN HUB NUMBER OF A GRAPH. (2023). Advances and Applications in Discrete Mathematics, 39(2), 245-257. https://doi.org/10.17654/0974165823051

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