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On the connected and weakly convex domination numbers

Abstract

In this paper we study relations between connected and weakly convex domination numbers. We show that in general the difference between these numbers can be arbitrarily large and we focus on the graphs for which a weakly convex domination number equals a connected domination number. We also study the influence of the edge removing on the weakly convex domination number, in particular we show that a weakly convex domination number is an interpolating function.

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Copyright (2020 Charles Babbage Research Centre)

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Category:
Articles
Type:
artykuły w czasopismach
Published in:
Journal of Combinatorial Mathematics and Combinatorial Computing no. 115, pages 227 - 243,
ISSN: 0835-3026
Language:
English
Publication year:
2020
Bibliographic description:
Lemańska M., Dettlaff M., Osula D., Souto Salorio M. J.: On the connected and weakly convex domination numbers// Journal of Combinatorial Mathematics and Combinatorial Computing -Vol. 115, (2020), s.227-243
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Gdańsk University of Technology

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