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arXiv · 2002.03108

On the general position set of two classes of graphs

Yan Yao·Mengya He·Shengjin Ji·Guang Li
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Abstract

The general position problem is to find the cardinality of a largest vertex subset S such that no triple of vertices of S lie on a common geodesic. For a connected graph G, the cardinality of S is denoted by gp(G) and called gp-number (or general position number) of G. In the paper, we obtain an upper bound and a lower bound regarding gp-number in all cactus with k cycles and t pendant edges. Furthermore, the gp-number of wheel graph is determined.

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Yan Yao, Mengya He, Shengjin Ji, Guang Li. 2020-02-08. On the general position set of two classes of graphs. https://arxiv.org/abs/2002.03108

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