Vrcholově in-out-antimagická totální ohodnocení digrafů

Abstract

This thesis focuses on the study of antimagical labelings of digraphs, particularly emphasizing strong super vertex in-out-antimagical total labelings. Building upon existing scientific literature, the thesis expands upon it with new insights and results. The introductory section presents the concept of antimagical graphs and provides an overview of previous findings in the field of antimagical labelings of digraphs. Key terms, such as strong super vertex in-out-antimagical total evaluation, are defined. The main part of the thesis delves into the examination of various classes of graphs and their properties in relation to antimagical labelings. Specifically, paths, cycles, and pulces are analyzed. For each class of graphs, constructions of strong super vertex in-out-antimagical total labelings are presented, along with constructive proofs of their existence. In the conclusion, the achieved results are summarized, and further research directions in the field of antimagical labelings of digraphs are proposed. This work contributes to expanding the knowledge of antimagical labelings and opens up new avenues for future research.