# On the representation number of a crown graph

@article{Glen2018OnTR,
title={On the representation number of a crown graph},
author={Marc Glen and Sergey Kitaev and Artem V. Pyatkin},
journal={Discret. Appl. Math.},
year={2018},
volume={244},
pages={89-93}
}
• Published 2018
• Mathematics, Computer Science
• Discret. Appl. Math.
A graph $G=(V,E)$ is word-representable if there exists a word $w$ over the alphabet $V$ such that letters $x$ and $y$ alternate in $w$ if and only if $xy$ is an edge in $E$. It is known that any word-representable graph $G$ is $k$-word-representable for some $k$, that is, there exists a word $w$ representing $G$ such that each letter occurs exactly $k$ times in $w$. The minimum such $k$ is called $G$'s representation number. A crown graph $H_{n,n}$ is a graph obtained from the complete… Expand
5 Citations

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