Journal of the Korean Data and Information Science Society
- Volume 18 Issue 4
- /
- Pages.1115-1121
- /
- 2007
- /
- 1598-9402(pISSN)
Characterizations of the Cores of Integer Total Domination Games
- Kim, Hye-Kyung (Department of Mathematics, Catholic University of Daegu) ;
- Lee, Dae-Sik (School of Electronic Eng., Daegu University)
- Published : 2007.11.30
Abstract
In this paper, we consider cooperative games arising from integer total domination problem on graphs. We introduce two games, rigid integer total domination game and its relaxed game, and focus on their cores. We give characterizations of the cores and the relationship between them.