Edge geodetic sequence in graphs

Document Type : Research Paper

Authors

1 Department of Mathematics, St. Alphonsa College of Arts and Science Karunkal, Tamil Nadu, India.

2 Department of Mathematics, Government College of Engineering Tirunelveli, Tamil Nadu, India.

Abstract

In this paper, we introduced the concept of edge geodetic sequences in graph and its generating function. Some general properties satisfied by this concept are studied. It is shown that for every generating function
$$ G(x)=\sum_{i=1}^{\infty} {a}^{i-1}{x^{i-1}} \quad a\in N-\left\lbrace 1\right\rbrace,$$
there exists a recurrence graph $G$ with edge geodetic decomposition $\pi=\{G_{1},G_{2},\ldots ,G_{n}\ldots\}$.

Keywords

References

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Algebraic Structures and Their Applications

Articles in Press, Accepted Manuscript
Available Online from 10 September 2023

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