A more accurate view of the Flat Wall Theorem
Ignasi Sau, Giannos Stamoulis, Dimitrios M. Thilikos · Journal of Graph Theory · 2024
Abstract We introduce a supporting combinatorial framework for the Flat Wall Theorem. In particular, we suggest two variants of the theorem and we introduce a new, more versatile, concept of wall homogeneity as well as the notion of regularity in flat walls. All proposed concepts and results aim at facilitating the use of the irrelevant vertex technique in future algorithmic applications.