Keywords:-
Keywords:
Independent set, Ik-set, star Ik-set.
Article Content:-
Abstract
Independent sets in a graph can be generalized in several ways. E. Sampathkumar introduced Ik-sets as a generalization of independent sets. In this paper, star Ik-sets are dened and studied.
References:-
References
1. Balakrishnan. R and Ranganathan.K A Textbook of Graph Theory,(2011).
2. Chitra. S, Studies in colouring in graphs with special reference to the colour class domi- nation, Thesis submitted to Madurai Kamaraj University, Dec. 2012.
3. Haynes . Terasa W Stephen T. Hedetniemi, Peter J. Slater, Fundamentals of Domination in Graphs, Marcel Dekker Inc. (1998).
4. Haynes Terasa W. Stephen T. Hedetniemi, Peter J. Slater, Domination in Graphs: Ad- vanced Topics, Marcel Dekker Inc. (1998).
5. Sampathkumar.E Generalizations of independence and Chromatic numbers of a graph, Discrete Mathematics 115(1993)245-251.
6. Sampathkumar.E k-dimensional Graph and Semi graph Theory, Report on the DST Project No. DST/MS/131/2k, 2005.
2. Chitra. S, Studies in colouring in graphs with special reference to the colour class domi- nation, Thesis submitted to Madurai Kamaraj University, Dec. 2012.
3. Haynes . Terasa W Stephen T. Hedetniemi, Peter J. Slater, Fundamentals of Domination in Graphs, Marcel Dekker Inc. (1998).
4. Haynes Terasa W. Stephen T. Hedetniemi, Peter J. Slater, Domination in Graphs: Ad- vanced Topics, Marcel Dekker Inc. (1998).
5. Sampathkumar.E Generalizations of independence and Chromatic numbers of a graph, Discrete Mathematics 115(1993)245-251.
6. Sampathkumar.E k-dimensional Graph and Semi graph Theory, Report on the DST Project No. DST/MS/131/2k, 2005.
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Sripriya, S., Poovazhaki, R., & Swaminathan, V. (2019). Generalized Independent Sets in a Graph. International Journal Of Mathematics And Computer Research, 7(05), 1965-1969. https://doi.org/10.31142/ijmcr/v7i5.02