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Abstract
In this paper we study the computational complexity issues of the problem of secondary domination (known also as (1, 2)-domination) in several graph classes. We also study the computational complexity of the problem of determining whether the domination and secondary domination numbers are equal. In particular, we study the influence of triangles and vertices of degree 1 on these numbers. Also, an optimal algorithm for finding a minimum secondary dominating set in trees is presented.
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- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s00453-023-01192-2
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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ALGORITHMICA
ISSN: 0178-4617 - Language:
- English
- Publication year:
- 2023
- Bibliographic description:
- Raczek J.: Complexity Issues on of Secondary Domination Number// ALGORITHMICA -, (2023),
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s00453-023-01192-2
- Sources of funding:
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- COST_FREE
- Verified by:
- Gdańsk University of Technology
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