Monochromatic disconnection of graphs

نویسندگان

چکیده

For an edge-colored graph G , we call edge–cut M of monochromatic if the edges are colored with same color. The is called monochromatically disconnected any two distinct vertices separated by a edge–cut. connected disconnection number denoted m d ( ) maximum colors that needed in order to make disconnected. We show almost all graphs have numbers equal 1. also obtain Nordhaus–Gaddum-type results for .

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2021

ISSN: ['1872-6771', '0166-218X']

DOI: https://doi.org/10.1016/j.dam.2020.08.032