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arXiv · 1604.00519

A Note on the Tattoo Index of Graphs

Johan Kok·Naduvath Sudev
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Abstract

Consider a network $D$ of pipes which have to be cleaned using some cleaning agents, called brushes, assigned to some vertices. The tattooing of a simple connected directed graph $D$ is a particular type of the cleaning in which an arc are coloured by the colour of the colour-brush transiting it and the tattoo number of $D$ is a corresponding derivative of brush numbers in it. In this paper, we introduce a new concept, called the tattoo index of a given graph $G$, which is an efficiency index related to the tattooing sequence and we establish some introductory results on this parameter.

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Johan Kok, Naduvath Sudev. 2016-04-02. A Note on the Tattoo Index of Graphs. https://arxiv.org/abs/1604.00519

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