Block graphs with large paired domination multisubdivision number

Christina M. Mynhardt; Joanna Raczek

doi:10.7151/dmgt.2230

Block graphs with large paired domination multisubdivision number

Abstract

The paired domination multisubdivision number of a nonempty graph G, denoted by msdpr(G), is the smallest positive integer k such that there exists an edge which must be subdivided k times to increase the paired domination number of G. It is known that msdpr(G) ≤ 4 for all graphs G. We characterize block graphs with msdpr(G) = 4.

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Authors (2)

Christina M. Mynhardt
Joanna Raczek dr inż.

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Keywords

PAIRED DOMINATION, DOMINATION SUBDIVISION NUMBER, DOMINATION MULTISUBDIVISION NUMBER, BLOCK GRAPH

Details

Category:: Articles
Type:: artykuły w czasopismach
Published in:: Discussiones Mathematicae Graph Theory no. 41, pages 665 - 684,
ISSN: 1234-3099
Language:: English
Publication year:: 2021
Bibliographic description:: Mynhardt C., Raczek J.: Block graphs with large paired domination multisubdivision number// Discussiones Mathematicae Graph Theory -Vol. 41, (2021), s.665-684
DOI:: Digital Object Identifier (open in new tab) 10.7151/dmgt.2230
Verified by:: Gdańsk University of Technology