Saglam, Derya2025-01-212025-01-2120222473-6988https://doi.org/10.3934/math.2022946https://hdl.handle.net/20.500.12587/25110In this paper, homothetical and translation lightlike graphs, which are generalizations of homothetical and translation lightlike hypersurfaces are investigated in the semi-Euclidean space R-q(n+2) , respectively. We prove that all homothetical and all translation lightlike graphs are locally the hyperplanes. According to this fact, both of these graphs are minimal.eninfo:eu-repo/semantics/openAccesslightlike hypersurfaces; homothetical graphs; translation graphs; semi-Euclidean space; minimalityArticle79171981720910.3934/math.2022946WOS:000855360400017Q1