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Year 2016, Volume: 4 Issue: 4, 259 - 265, 31.12.2016

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References

  • Aytaç A., Turacı T., The average lower independence number on graph operations, Bulletin of Society of Mathematicians Banja Luka, 16, pp.11-20, 2009.
  • Aytaç A., Turacı T., Vertex Vulnerability parameter of Gear Graphs, The International Journal of Foundations of Computer Science, 22, no. 5, 1187-1195, 2011.
  • Aytaç A., Turacı T., The average lower independence number of total graphs , Bull. Int. Math. Virtual Inst. 2, no. 1, 17-27, 2012.
  • Barefoot, C. A., Entringer, R., Swart, H., Vulnerability in graphs-a comparative survey. J. Combin. Math. Combin. Comput. 1 , 13-22, 1987.
  • Blidia M., Chellali M. and Maffray F., On Average Lower Independence and Domination Numbers In Graphs, Discrete Math., 295, p. 1-11, 2005.
  • Bondy J. A. and Murty U. S. R., Graph theory with applications, American Elsevier Publishing Co., Inc., New York, 1976.
  • Haviland J., Independent domination in regular graphs, Discrte Math.,143, 275-280, 1995.
  • Henning A. Michael, Trees with equal average domination and independent domination numbers, Ars Combinatoria, 71, pp. 305-318, 2004.
  • Sun L., Wang J. : An upper Bound for the Independent Domination Number, J. of Comb. Theorry series B, 76, 240-246, 1999.
  • Zhongzhu, Liu, Energy, Laplacian energy and Zagreb index of line graph, middle graph and total graph, Int. J. Contemp. Math. Sci. 5 , no. 17-20, 895?900, 2010.

Average lower independence number in splitting graphs

Year 2016, Volume: 4 Issue: 4, 259 - 265, 31.12.2016

Abstract


References

  • Aytaç A., Turacı T., The average lower independence number on graph operations, Bulletin of Society of Mathematicians Banja Luka, 16, pp.11-20, 2009.
  • Aytaç A., Turacı T., Vertex Vulnerability parameter of Gear Graphs, The International Journal of Foundations of Computer Science, 22, no. 5, 1187-1195, 2011.
  • Aytaç A., Turacı T., The average lower independence number of total graphs , Bull. Int. Math. Virtual Inst. 2, no. 1, 17-27, 2012.
  • Barefoot, C. A., Entringer, R., Swart, H., Vulnerability in graphs-a comparative survey. J. Combin. Math. Combin. Comput. 1 , 13-22, 1987.
  • Blidia M., Chellali M. and Maffray F., On Average Lower Independence and Domination Numbers In Graphs, Discrete Math., 295, p. 1-11, 2005.
  • Bondy J. A. and Murty U. S. R., Graph theory with applications, American Elsevier Publishing Co., Inc., New York, 1976.
  • Haviland J., Independent domination in regular graphs, Discrte Math.,143, 275-280, 1995.
  • Henning A. Michael, Trees with equal average domination and independent domination numbers, Ars Combinatoria, 71, pp. 305-318, 2004.
  • Sun L., Wang J. : An upper Bound for the Independent Domination Number, J. of Comb. Theorry series B, 76, 240-246, 1999.
  • Zhongzhu, Liu, Energy, Laplacian energy and Zagreb index of line graph, middle graph and total graph, Int. J. Contemp. Math. Sci. 5 , no. 17-20, 895?900, 2010.
There are 10 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Aysun Aytac

Betul Atay This is me

Publication Date December 31, 2016
Published in Issue Year 2016 Volume: 4 Issue: 4

Cite

APA Aytac, A., & Atay, B. (2016). Average lower independence number in splitting graphs. New Trends in Mathematical Sciences, 4(4), 259-265.
AMA Aytac A, Atay B. Average lower independence number in splitting graphs. New Trends in Mathematical Sciences. December 2016;4(4):259-265.
Chicago Aytac, Aysun, and Betul Atay. “Average Lower Independence Number in Splitting Graphs”. New Trends in Mathematical Sciences 4, no. 4 (December 2016): 259-65.
EndNote Aytac A, Atay B (December 1, 2016) Average lower independence number in splitting graphs. New Trends in Mathematical Sciences 4 4 259–265.
IEEE A. Aytac and B. Atay, “Average lower independence number in splitting graphs”, New Trends in Mathematical Sciences, vol. 4, no. 4, pp. 259–265, 2016.
ISNAD Aytac, Aysun - Atay, Betul. “Average Lower Independence Number in Splitting Graphs”. New Trends in Mathematical Sciences 4/4 (December 2016), 259-265.
JAMA Aytac A, Atay B. Average lower independence number in splitting graphs. New Trends in Mathematical Sciences. 2016;4:259–265.
MLA Aytac, Aysun and Betul Atay. “Average Lower Independence Number in Splitting Graphs”. New Trends in Mathematical Sciences, vol. 4, no. 4, 2016, pp. 259-65.
Vancouver Aytac A, Atay B. Average lower independence number in splitting graphs. New Trends in Mathematical Sciences. 2016;4(4):259-65.