Relates signed total Roman domination number on cubic graphs to open packing, 2-tuple total domination, and signed total domination numbers to derive bounds and NP-completeness; shows domatic number determined by degree-3 vertices; computes exact values on complete multipartite graphs.
Signed Roman (total) domination numbers of complete bipartite graphs and wheels
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Signed Total Roman Domination and Domatic Numbers: Degree Three and Complete Multipartite Graphs
Relates signed total Roman domination number on cubic graphs to open packing, 2-tuple total domination, and signed total domination numbers to derive bounds and NP-completeness; shows domatic number determined by degree-3 vertices; computes exact values on complete multipartite graphs.