Relating the total domination number and the annihilation number for quasi-trees and some composite graphs
نویسندگان
چکیده
The total domination number ? t ( G ) of a graph is the cardinality smallest set D ? V such that each vertex has neighbor in . annihilation largest integer k there exist different vertices with degree sum at most m It conjectured ? + 1 holds for every nontrivial connected conjecture been proved graphs minimum least 3, trees, certain tree-like graphs, block and cactus graphs. In main result this paper it quasi-trees. verified also some constructions including bijection Mycielskians, newly introduced universally-identifying
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2022
ISSN: ['1872-681X', '0012-365X']
DOI: https://doi.org/10.1016/j.disc.2022.112965