MATHEMATICA BOHEMICA, Vol. 130, No. 1, pp. 81-88, 2005

Minimal acyclic dominating sets and cut-vertices

Vladmir Samodivkin

Vladimir Samodivkin, Department of Mathematics, University of Architecture, Civil Engineering and Geodesy, Hristo Smirnenski 1 Blv., 1046 Sofia, Bulgaria, e-mail: vlsam_fte@uacg.bg

Abstract: The paper studies minimal acyclic dominating sets, acyclic domination number and upper acyclic domination number in graphs having cut-vertices.

Keywords: cut-vertex, dominating set, minimal acyclic dominating set, acyclic domination number, upper acyclic domination number

Classification (MSC 2000): 05C69, 05C40

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