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To alleviate these, Machine Learning (ML) has been incorporated into many stages of the design flow, such as in placement and routing. Many solutions employ Euclidean data and ML techniques without considering that many EDA objects are represented naturally as graphs. The trending Graph Neural Networks (GNNs) are an opportunity to solve EDA problems directly using graph structures for circuits, intermediate Register Transfer Levels, and netlists. In this article, we present a comprehensive review of the existing works linking the EDA flow for chip design and GNNs. We map those works to a design pipeline by defining graphs, tasks, and model types. Furthermore, we analyze their practical implications and outcomes. We conclude by summarizing challenges faced when applying GNNs within the EDA design flow.<\/jats:p>","DOI":"10.1145\/3543853","type":"journal-article","created":{"date-parts":[[2022,6,14]],"date-time":"2022-06-14T09:57:43Z","timestamp":1655200663000},"page":"1-27","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":18,"title":["A Comprehensive Survey on Electronic Design Automation and Graph Neural Networks: Theory and Applications"],"prefix":"10.1145","volume":"28","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8750-7696","authenticated-orcid":false,"given":"Daniela","family":"S\u00e1nchez","sequence":"first","affiliation":[{"name":"Infineon Technologies AG and Technical University of Munich, Munich, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4322-834X","authenticated-orcid":false,"given":"Lorenzo","family":"Servadei","sequence":"additional","affiliation":[{"name":"Infineon Technologies AG and Technical University of Munich, Munich, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0255-2178","authenticated-orcid":false,"given":"Gamze Naz","family":"Kiprit","sequence":"additional","affiliation":[{"name":"Infineon Technologies AG and Technical University of Munich, Munich, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4993-7860","authenticated-orcid":false,"given":"Robert","family":"Wille","sequence":"additional","affiliation":[{"name":"Technical University of Munich, Munich, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9362-8096","authenticated-orcid":false,"given":"Wolfgang","family":"Ecker","sequence":"additional","affiliation":[{"name":"Infineon Technologies AG and Technical University of Munich, Munich, Germany"}]}],"member":"320","published-online":{"date-parts":[[2023,2,21]]},"reference":[{"key":"e_1_3_2_2_2","first-page":"1","volume-title":"Proceedings of the IEEE\/ACM International Conference on Computer-Aided Design (ICCAD\u201920)","author":"Agnesina Anthony","year":"2020","unstructured":"Anthony Agnesina, Kyungwook Chang, and Sung Kyu Lim. 2020. 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