The Sum and Product of Independence 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 Department of Mathematics, Kuriakose Elias College, Mannanam, Kottayam - 686561, Kerala

DOI:

https://doi.org/10.26713/jims.v6i2.245

Keywords:

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 independence 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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Published

2014-12-22
CITATION

How to Cite

C., S., & Kalayathankal, S. J. (2014). The Sum and Product of Independence Numbers of Graphs and their Line Graphs. Journal of Informatics and Mathematical Sciences, 6(2), 77–85. https://doi.org/10.26713/jims.v6i2.245

Issue

Vol. 6 No. 2 (2014)

Section

Research Articles

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