Graffiti.pc on the total domination number of a tree
نویسندگان
چکیده
The total domination number of a simple, undirected graph G is the minimum cardinality of a subset D of the vertices of G such that each vertex of G is adjacent to some vertex in D. In 2007 Graffiti.pc, a program that makes graph theoretical conjectures, was used to generate conjectures on the total domination number of connected graphs. More recently, the program was used to generate conjectures on the total domination number of trees. In this paper, we discuss and resolve several of these conjectures for trees, which are often improvements over known results for all connected graphs. keywords: Graffiti.pc, total dominating set, total domination number, degrees, eccentricities Mathematics Subject Classification: 05C35
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