Anti-forcing Number of Some Specific Graphs

Document Type : Research Paper


1 Yazd University, Yazd, Iran

2 Yazd University


Let $G=(V,E)$ be a simple connected graph. A perfect matching (or Kekul'e structure in chemical literature) of $G$ is a set of disjoint edges which covers all vertices of $G$. The anti-forcing number of $G$ is the smallest number of edges such that the remaining graph obtained by deleting these edges has a unique perfect matching and is denoted by $af(G)$. In this paper we consider some specific graphs that are of importance in chemistry and study
their anti-forcing numbers.


Main Subjects

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