Communications of the
Korean Mathematical Society CKMS

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Commun. Korean Math. Soc. 2017; 32(4): 805-810

Online first article August 29, 2017      Printed October 31, 2017

https://doi.org/10.4134/CKMS.c160256

Copyright © The Korean Mathematical Society.

The hull number of powers of cycles

Hasan Al-Ezeh, Manal Ghanem, Jameel Rwalah

School of Science, School of Science, School of Science

Abstract

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Let $C_n$ be the cycle graph of order $n$ on the vertices $\upsilon_0$, $\upsilon_1,\ldots$, $\upsilon_n$ and $C_n^k$ be the $k$-th power of $C_n$. In this article we determine the hull-number of $C_n^k$.

Keywords: geodetic number, hull number, paths, powers of cycles graphs

MSC numbers: 05C12, 05C38

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