Upper bounds for domination related parameters in graphs on surfaces

In this paper we give tight upper bounds on the total domination number, the weakly connected domination number and the connected domination number of a graph in terms of order and Euler characteristic. We also present upper bounds for the restrained bondage number, the total restrained bondage numb...

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Bibliographic Details
Main Author: Vladimir Samodivkin
Format: Article
Language:English
Published: Taylor & Francis Group 2016-08-01
Series:AKCE International Journal of Graphs and Combinatorics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0972860016300901