This book constitutes the refereed proceedings of the 35th International Workshop on Combinatorial Algorithms, IWOCA 2024, held in Ischia, Italy, during July 1-3, 2024. The 40 full papers included in this book were carefully reviewed and selected from 110 submissions. The IWOCA conference series has provided an annual forum for researchers who design algorithms to address the myriad combinatorial problems underlying computer applications in science, engineering, and business.