The Sum and Product of Independence Numbers of Graphs and their Line Graphs

Susanth C., Sunny Joseph Kalayathankal

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.

Keywords


Independence number; Matching number; Line graph

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References


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DOI: http://dx.doi.org/10.26713%2Fjims.v6i2.245

eISSN 0975-5748; pISSN 0974-875X