The generalized Sprague-Grundy function and its invariance under certain mappings
Journal of Combinatorial Theory Series A
Lexicographic codes: Error-correcting codes from game theory
IEEE Transactions on Information Theory
American Mathematical Monthly
PSPACE-hardness of some combinatorial games
Journal of Combinatorial Theory Series A
Complex Systems
Merlin's magic square revisited
American Mathematical Monthly
Discrete Mathematics - Coding Theory
The &sgr;-game and cellular automata
American Mathematical Monthly
Chip-Firing Games on Directed Graphs
Journal of Algebraic Combinatorics: An International Journal
The complexity of pursuit on a graph
Theoretical Computer Science
On the computational complexity of finite cellular automata
Journal of Computer and System Sciences
Chip-Firing and the Critical Group of a Graph
Journal of Algebraic Combinatorics: An International Journal
Lit-only σ-game on pseudo-trees
Discrete Applied Mathematics
Hi-index | 0.00 |
We define a two-player virus game played on a finite cyclic digraph G = (V,E). Each vertex is either occupied by a single virus, or is unoccupied.A move consists of transplanting a virus from some u into a selected neighborhood N(u) of u, while devouring every virus in N(u), and replicating in N(u), i.e., placing a virus on all vertices of N(u) where there wasn't any virus. The player first killing all the virus wins, and the opponent loses. If there is no last move, the outcome is a draw. Giving a minimum of the underlying theory, we exhibit the nature of the games on hand of examples. The 3-fold motivation for exploring these games stems from complexity considerations in combinatorial game theory, extending the hitherto 0-player and solitaire cellular automata games to two-player games, and the theory of linear error correcting codes.