Total Domination Polynomial of A Graph

Authors

  • B. Chaluvaraju Department of Mathematics, Bangalore University, Central College Campus, Bangalore 560001
  • V. Chaitra Department of Mathematics, Bangalore University, Central College Campus, Bangalore 560001

DOI:

https://doi.org/10.26713/jims.v6i2.256

Keywords:

Graph, Domination number, Sign domination number

Abstract

A total domination polynomial of a graph $G$ of order $n$ is the polynomial $D_{td}(G,x) =\sum^n_{t=\gamma_{td}(G)}d_{td}(G,t)x^t$, where $d_{td}(G,t)$ is the number of total dominating sets of $G$ of cardinality $t$. In this paper, we present various properties of total domination polynomial of graph $G$. Also determine the total domination polynomial of some graph operations.
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References

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N. D. Soner and B. Chaluvaraju, Total non-split domination in graphs, J. of Math. Ed. 38(2) (2004), 77-80.

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Published

December 31, 2014

Issue

Vol. 6 No. 2 (2014)

Section

Research Article

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How to Cite

Chaluvaraju, B., & Chaitra, V. (2014). Total Domination Polynomial of A Graph. Journal of Informatics and Mathematical Sciences, 6(2), 87-92. https://doi.org/10.26713/jims.v6i2.256