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arXiv · 2002.10598

Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs

Lucía M. González·Luciano N. Grippo·Martín D. Safe
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Abstract

We present formulas to compute the P3-geodetic number, the P3-hull number and the percolation time for a caterpillar, in terms of certain sequences associated with it. In addition, we find a connection between the percolation time of a unit interval graph and a parameter involving the diameter of a unit interval graph related to it. Finally, we present a hereditary graph class, defined by forbidden induced subgraphs, such that its percolation time is equal to one.

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Lucía M. González, Luciano N. Grippo, Martín D. Safe. 2020-02-25. Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs. https://arxiv.org/abs/2002.10598

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