Graph theory
Together with his colleague Professor Marcel Herzog, Arad wrote "Products of Conjugacy Classes", published by Springer-Verlag. The book facilitated the basis of the establishment of mathematical theory and today forms part of the branch of abstract algebra known as Table Algebras, and is attached to central branches in mathematics: Graph theory, algebra combinations, and theory presentation. Arad coauthored two other books on the subject of table algebra. In 2000 his book was published in the series "American Mathematical Society Memoirs" and in January 2002 another book on table algebras was published in the international publication, Springer. Arad was the editor of "Contemporary Mathematics", Volume 402.