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Connected Subtraction Games on Subdivided Stars
Abstract : The present paper deals with connected subtraction games in graphs, which are generalization of takeaway games. In a connected subtraction game, two players alternate removing a connected sub-graph from a given connected game-graph, provided the resulting graph is connected, and provided the number of vertices of the removed subgraph belongs to a prescribed set of integers. We derive general periodicity results on such games, as well as specific results when played on subdivided stars.
Cited literature [17 references]
https://hal.archives-ouvertes.fr/hal-01849181
Contributor : Antoine Dailly Connect in order to contact the contributor
Submitted on : Monday, May 13, 2019 - 11:01:49 AM
Last modification on : Wednesday, June 1, 2022 - 4:39:38 AM
Contributor : Antoine Dailly Connect in order to contact the contributor
Submitted on : Monday, May 13, 2019 - 11:01:49 AM
Last modification on : Wednesday, June 1, 2022 - 4:39:38 AM
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