On the Sum and Product of Covering Numbers of Graphs and their Line Graphs

Authors

  • Susanth C . Department of Mathematics, Vidya Academy of Science & Technology, Thalakkottukara, Thrissur 680501, Kerala
  • Sunny Joseph Kalayathankal yDepartment of Mathematics, Kuriakose Elias College, Mannanam, Kottayam - 686561, Kerala

DOI:

https://doi.org/10.26713/cma.v6i1.275

Keywords:

Covering number, Independence number, Matching number, Line graph

Abstract

The bounds on the sum and product of chromatic numbers of a graph and its complement are known as Nordhaus-Gaddum inequalities. In this paper, we study the bounds on the sum and product of the covering numbers of graphs and their line graphs. We also provide a new characterization of the certain graph classes.

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References

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C. Susanth and Sunny Joseph Kalayathankal, The Sum and Product of Independence Numbers of Graphs and their Line Graphs, submitted.

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Published

08-08-2015
CITATION

How to Cite

., S. C., & Kalayathankal, S. J. (2015). On the Sum and Product of Covering Numbers of Graphs and their Line Graphs. Communications in Mathematics and Applications, 6(1), 9–16. https://doi.org/10.26713/cma.v6i1.275

Issue

Vol. 6 No. 1 (2015)

Section

Research Article

License

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