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- Title
Infinite Families of Circular and Möbius Ladders that are Total Domination Game Critical.
- Authors
Henning, Michael A.; Klavžar, Sandi
- Abstract
Let γtg(G)<inline-graphic></inline-graphic> denote the game total domination number of a graph G, and let G|v mean that a vertex v of G is declared to be already totally dominated. A graph G is total domination game critical if γtg(G|v)<γtg(G)<inline-graphic></inline-graphic> holds for every vertex v in G. If γtg(G)=k<inline-graphic></inline-graphic>, then G is further called k-γtg<inline-graphic></inline-graphic>-critical. In this paper, we prove that the circular ladder C4k□K2<inline-graphic></inline-graphic> is 4k-γtg<inline-graphic></inline-graphic>-critical and that the Möbius ladder ML2k<inline-graphic></inline-graphic> is 2k-γtg<inline-graphic></inline-graphic>-critical.
- Subjects
MASS transfer; VISCOUS flow; MAGNETOHYDRODYNAMICS; BUOYANCY; SKIN friction (Aerodynamics)
- Publication
Bulletin of the Malaysian Mathematical Sciences Society, 2018, Vol 41, Issue 4, p2141
- ISSN
0126-6705
- Publication type
Article
- DOI
10.1007/s40840-018-0635-8