DOMINATION INTEGRITY OF TOTAL GRAPHS

Volume: 4 Number: 1 June 1, 2014
  • S. K. Vaidya
  • N. H. Shah
TWMS Journal of Applied and Engineering Mathematics Cover
TWMS Journal of Applied and Engineering Mathematics
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DOMINATION INTEGRITY OF TOTAL GRAPHS

Abstract

The domination integrity of a simple connected graph G is a measure of vulnerability of a graph. Here we determine the domination integrity of total graphs of path Pn, cycle Cn and star K1,n.

Keywords

References

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  2. Barefoot, C. A., Entringer, R. and Swart, H., (1987), Vulnerability in Graphs-A Comparative Survey
  3. J. Combin. Math. Combin. Comput., 1, 13-22. Behzad, M., (1967), A criterion for the planarity of a total graph, Proc. Cam- bridge Philos. Soc., 63, 681.
  4. D¨undar P. and Ayta¸c A.,(2004), Integrity of Total Graphs via Certain Parameters, Mathematical Notes, 76(5), 665-672.
  5. Goddard, W. and Swart, H. C., (1990), Integrity in graphs: bounds and basics, J. Combin. Math. Combin. Comput., 7 , 139-151.
  6. Harary, F., (1972), Graph Theory, Addison Wesley, Massachusetts.
  7. Haynes, T. W., Hedetniemi, S. T. and Slater, P. J., (1998), Fundamentals of Domination in Graphs
  8. Monographs and Textbooks in Pure and Applied Mathematics. Marcel Dekker Inc., New York. Mamut, A. and Vumar, E., (2007), A note on the Integrity of Middle Graphs, Lecture Notes in

Details

Primary Language

English

Subjects

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Journal Section

-

Authors

S. K. Vaidya This is me

N. H. Shah This is me

Publication Date

June 1, 2014

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2014 Volume: 4 Number: 1

IZ

https://izlik.org/JA94UX36ZG

Cite

RIS / Bibtex
APA
Vaidya, S. K., & Shah, N. H. (2014). DOMINATION INTEGRITY OF TOTAL GRAPHS. TWMS Journal of Applied and Engineering Mathematics, 4(1), 1-10. https://izlik.org/JA94UX36ZG
AMA
1.Vaidya SK, Shah NH. DOMINATION INTEGRITY OF TOTAL GRAPHS. JAEM. 2014;4(1):1-10. https://izlik.org/JA94UX36ZG
Chicago
Vaidya, S. K., and N. H. Shah. 2014. “DOMINATION INTEGRITY OF TOTAL GRAPHS”. TWMS Journal of Applied and Engineering Mathematics 4 (1): 1-10. https://izlik.org/JA94UX36ZG.
EndNote
Vaidya SK, Shah NH (June 1, 2014) DOMINATION INTEGRITY OF TOTAL GRAPHS. TWMS Journal of Applied and Engineering Mathematics 4 1 1–10.
IEEE
[1]S. K. Vaidya and N. H. Shah, “DOMINATION INTEGRITY OF TOTAL GRAPHS”, JAEM, vol. 4, no. 1, pp. 1–10, June 2014, [Online]. Available: https://izlik.org/JA94UX36ZG
ISNAD
Vaidya, S. K. - Shah, N. H. “DOMINATION INTEGRITY OF TOTAL GRAPHS”. TWMS Journal of Applied and Engineering Mathematics 4/1 (June 1, 2014): 1-10. https://izlik.org/JA94UX36ZG.
JAMA
1.Vaidya SK, Shah NH. DOMINATION INTEGRITY OF TOTAL GRAPHS. JAEM. 2014;4:1–10.
MLA
Vaidya, S. K., and N. H. Shah. “DOMINATION INTEGRITY OF TOTAL GRAPHS”. TWMS Journal of Applied and Engineering Mathematics, vol. 4, no. 1, June 2014, pp. 1-10, https://izlik.org/JA94UX36ZG.
Vancouver
1.S. K. Vaidya, N. H. Shah. DOMINATION INTEGRITY OF TOTAL GRAPHS. JAEM [Internet]. 2014 Jun. 1;4(1):1-10. Available from: https://izlik.org/JA94UX36ZG