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TIGHT JUST EXCELLENT GRAPHS

Year 2019, Volume: 9 Issue: 2, 294 - 304, 01.06.2019

Abstract

A graph G is -excellent if for every vertex v, there exists a chromatic partition  such that fvg 2 .A graph G is just -excellent if every vertex appears as a singleton in exactly one -partition. In this paper, a special type of just -excellence namely tight just -excellence is de ned and studied.

References

  • Fricke, G. H. , Teresa W. Haynes, Hetniemi,S. T. , Hedetniemi,S. M. and Laskar, R. C. (2002), Excellent trees, Bull. Inst. Combin. Appl.,34 pp.27-38.
  • Sridharan,N. and Yamuna,M.,(1980), Excellent-Just Excellent-Very Excellent Graphs, Journal of Math. Phy.Sci., 14 (5), pp.471-475.
  • Sampathkumar, E. and Bhave, V. N.,(1976), Partition Graphs and Colouring Numbers of a Graph, Discrete Mathematics, 16, pp.57-60.
  • Sampathkumar, E. and Bhave, V. N., (1975), Partition Graphs of a Graph, Progress of Mathematics, 9(2), pp.33-42.
  • Terasa W. Haynes, Stephen T. Hedetneimi, Peter J. Slater,(1998), Fundamentals of Domination in Graphs, Marcel Dekker Inc.
Year 2019, Volume: 9 Issue: 2, 294 - 304, 01.06.2019

Abstract

References

  • Fricke, G. H. , Teresa W. Haynes, Hetniemi,S. T. , Hedetniemi,S. M. and Laskar, R. C. (2002), Excellent trees, Bull. Inst. Combin. Appl.,34 pp.27-38.
  • Sridharan,N. and Yamuna,M.,(1980), Excellent-Just Excellent-Very Excellent Graphs, Journal of Math. Phy.Sci., 14 (5), pp.471-475.
  • Sampathkumar, E. and Bhave, V. N.,(1976), Partition Graphs and Colouring Numbers of a Graph, Discrete Mathematics, 16, pp.57-60.
  • Sampathkumar, E. and Bhave, V. N., (1975), Partition Graphs of a Graph, Progress of Mathematics, 9(2), pp.33-42.
  • Terasa W. Haynes, Stephen T. Hedetneimi, Peter J. Slater,(1998), Fundamentals of Domination in Graphs, Marcel Dekker Inc.
There are 5 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Sr. I. K. Mudartha This is me

R. Sundareswaran This is me

V. Swaminathan This is me

Publication Date June 1, 2019
Published in Issue Year 2019 Volume: 9 Issue: 2

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