In general, anomaly detection is the problem of distinguishing between normal
data samples with well defined patterns or signatures and those that do not
conform to the expected profiles. Financial transactions, customer reviews,
social media posts are all characterized by relational information. In these
networks, fraudulent behaviour may appear as a distinctive graph edge, such as
spam message, a node or a larger subgraph structure, such as when a group of
clients engage in money laundering schemes. Most commonly, these networks are
represented as attributed graphs, with numerical features complementing
relational information. We present a survey on anomaly detection techniques
used for fraud detection that exploit both the graph structure underlying the
data and the contextual information contained in the attributes