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Also, by using the notion of filters in equality algebras, we define an equivalence relation on equality algebras and then by using the equivalence classes we introduce two kinds of graphs on them. Finally, conditions for a graph based on these classes to be connected, or bipartite, or complete, or planar or an outer-planar graph are provided. <\/jats:p>","DOI":"10.1142\/s1793005722500491","type":"journal-article","created":{"date-parts":[[2022,1,26]],"date-time":"2022-01-26T05:50:42Z","timestamp":1643176242000},"page":"67-85","source":"Crossref","is-referenced-by-count":0,"title":["Graphs Based on Equality Algebras"],"prefix":"10.1142","volume":"19","author":[{"given":"M. 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