Simultaneously dominating all spanning trees of a graph

نویسندگان

چکیده

We investigate the problem of simultaneously dominating all spanning trees a given graph. prove that on 2-connected graphs, subset vertices dominates graph if and only it is vertex cover. Using this fact we present an exact algorithm finds simultaneous set minimum size using oracle for finding The can be implemented to run in polynomial time several classes, such as bipartite or chordal graphs. there no perfect graphs unless P=NP. Finally, provide 2-approximation set.

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ژورنال

عنوان ژورنال: EJGTA : Electronic Journal of Graph Theory and Applications

سال: 2022

ISSN: ['2338-2287']

DOI: https://doi.org/10.5614/ejgta.2022.10.1.5