<p>The present reprint contains twelve papers published in the Special Issue Advances in Discrete Applied Mathematics and Graph Theory 2021 of the MDPI <em>Mathematics</em> journal which cover a wide range of topics connected to the theory and applications of Graph Theory and Discrete Applied Mathematics. The focus of the majority of papers is on recent advances in graph theory and applications in chemical graph theory. In particular the topics studied include bipartite and multipartite Ramsey numbers graph coloring and chromatic numbers several varieties of domination (Double Roman Quasi-Total Roman Total 3-Roman) and two graph indices of interest in chemical graph theory (Sombor index generalized ABC index) as well as hyperspaces of graphs and local inclusive distance vertex irregular graphs.</p>
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