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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Bounds on Weak Roman and 2-Rainbow Domination Numbers

Chellali, Mustapha, Haynes, Teresa W., Hedetniemi, Stephen T. 01 January 2014 (has links)
We mainly study two related dominating functions, namely, the weak Roman and 2-rainbow dominating functions. We show that for all graphs, the weak Roman domination number is bounded above by the 2-rainbow domination number. We present bounds on the weak Roman domination number and the secure domination number in terms of the total domination number for specific families of graphs, and we show that the 2-rainbow domination number is bounded below by the total domination number for trees and for a subfamily of cactus graphs.
2-domination
2-rainbow domination
Roman domination
secure domination
total domination
weak Roman domination
Mathematics and Statistics

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