Title
Complexity properties of complementary prisms
Abstract
The complementary prism $$G\\bar{G}$$GG¯ of a graph G arises from the disjoint union of the graph G and its complement $$\\bar{G}$$G¯ by adding the edges of a perfect matching joining pairs of corresponding vertices of G and $$\\bar{G}$$G¯. Haynes, Henning, Slater, and van der Merwe introduced the complementary prism and as a variation of the well-known prism. We study algorithmic/complexity properties of complementary prisms with respect to cliques, independent sets, k-domination, and especially $$P_3$$P3-convexity. We establish hardness results and identify some efficiently solvable cases.
Year
DOI
Venue
2017
10.1007/s10878-015-9968-5
J. Comb. Optim.
Keywords
DocType
Volume
Complementary prism,Clique,Independent set,k,-Domination,\(P_3\),-Convexity
Journal
33
Issue
ISSN
Citations 
2
1382-6905
0
PageRank 
References 
Authors
0.34
4
4
Name
Order
Citations
PageRank
marcio antonio duarte100.34
Lucia Draque Penso219620.46
Dieter Rautenbach3946138.87
Uéverton S. Souza42021.12