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INDEPENDENTLY SATURATED GRAPHS

Year 2018, Volume: 8 Issue: 1, 44 - 50, 01.06.2018

Abstract

The independence saturation number IS G of a graph G = V;E is de ned as minfIS V : v 2 V g , where IS v is the maximum cardinality of an independent set that contains v. In this paper, we consider and compute exact formulae for the independence saturation in speci c graph families and composite graphs.

References

  • Korshunov, A. D.,(1974), Coefficient of internal stability of graphs, Cybernetics 10 (1) pp. 19-33.
  • West, D.B., (2001), Introduction to Graph Theory, Prentice Hall, NJ.
  • Bomze, I., Budinich, M., Pardalos, P., Pelillo, M., (1999), The maximum clique problem, in D. Du and P. Pardalos (eds), Handbook of Combinatorial Optimization, Supplement Volume A, Kluwer Academic Press.
  • Subramanian, M., (2004), Studies in Graph Theory-Independence saturation in Graphs, Ph.D thesis, Manonmaniam Sundaranar University.
  • Arumugam, S., Subramanian, M., (2007), Independence saturation and extended domination chain in graphs, AKCE J. Graphs. Combin. 4(2) pp. 5969.
  • Muthulakshmi, T., Subramanian, M., (2014), Independence saturation number of some classes of graphs, Far East Journal of Mathematical Sciences 86(1) pp. 11-21.

Year 2018, Volume: 8 Issue: 1, 44 - 50, 01.06.2018

Abstract

References

  • Korshunov, A. D.,(1974), Coefficient of internal stability of graphs, Cybernetics 10 (1) pp. 19-33.
  • West, D.B., (2001), Introduction to Graph Theory, Prentice Hall, NJ.
  • Bomze, I., Budinich, M., Pardalos, P., Pelillo, M., (1999), The maximum clique problem, in D. Du and P. Pardalos (eds), Handbook of Combinatorial Optimization, Supplement Volume A, Kluwer Academic Press.
  • Subramanian, M., (2004), Studies in Graph Theory-Independence saturation in Graphs, Ph.D thesis, Manonmaniam Sundaranar University.
  • Arumugam, S., Subramanian, M., (2007), Independence saturation and extended domination chain in graphs, AKCE J. Graphs. Combin. 4(2) pp. 5969.
  • Muthulakshmi, T., Subramanian, M., (2014), Independence saturation number of some classes of graphs, Far East Journal of Mathematical Sciences 86(1) pp. 11-21.
There are 6 citations in total.

Details

Primary Language English
Authors

Z.n. Berberler This is me

M.e. Berberler This is me

Publication Date June 1, 2018
Published in Issue Year 2018 Volume: 8 Issue: 1

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