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

Aysun Aytac , Betul Atay

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.

Average lower independence number in splitting graphs

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

Aysun Aytac , Betul Atay

Abstract


Keywords

Graph vulnerability Network design and communication Splitting graph

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

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.