























Let $G=(V,E)$ be a finite, simple, and connected graph. The locating-chromatic number of a graph $G$ can be defined as the cardinality of a minimum resolving partition of the vertex set $V(G)$ such that all vertices have different coordinates and every two adjacent vertices in $G$ is not contained in the same partition class. In this case, the coordinate of a vertex in $G$ is expressed in terms of the distances of this vertex to all partition classes. The corona product of a graph $G$ of order $n$ and a graph $H,$ denoted by $G \odot H,$ is the graph obtained by taking one copy of $G$ and $n$ copies of $H$ and joining the $i^{th}$-vertex of $G$ to every vertex in the $i^{th}$-copy of $H$. In this paper, we determine the sharp general bound of the locating-chromatic number of $G \odot H$ for $G$ is a connected graph and $H$ is an arbitrary graph, or $G$ is a tree graph and $H$ is a complement of complete graph.
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。