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- W2300699501 abstract "We define a two-player combinatorial game in which players take alternate turns; each turn consists of deleting a vertex of a graph, together with all the edges containing such vertex. If any vertex became isolated by a player’s move then it would also be deleted. A player wins the game when the other player has no moves available. We study this game under various viewpoints: by finding specific strategies for certain families of graphs, through using properties of a graph’s automorphism group, by writing a program to look at Sprague-Grundy numbers, and by studying the game when played on random graphs. When analyzing Grim played on paths, using the Sprague-Grundy function, we find a connection to a standing open question about Octal games." @default.
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- W2300699501 date "2016-08-29" @default.
- W2300699501 modified "2023-09-26" @default.
- W2300699501 title "Combinatorial Analysis of a Subtraction Game on Graphs" @default.
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- W2300699501 doi "https://doi.org/10.1155/2016/1476359" @default.
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