2 citations · 2 across the 4 of their papers we have counts for
Showing cs.DMShow all
3 papers · 1 filter
cs.DM2018
Maker-Breaker domination game
Eric Duchêne, Valentin Gledel, Aline Parreau +1
We introduce the Maker-Breaker domination game, a two player game on a graph. At his turn, the first player, Dominator, select a vertex in order to dominate the graph while the oth…
cs.DM2017★ 2 cited
The switch operators and push-the-button games: a sequential compound over rulesets
Eric Duchene, Marc Heinrich, Urban Larsson +1
We study operators that combine combinatorial games. This field was initiated by Sprague-Grundy (1930s), Milnor (1950s) and Berlekamp-Conway-Guy (1970-80s) via the now classical di…
cs.DM2012
Vertex Nim played on graphs
Eric Duchêne, Gabriel Renault
Given a graph G with positive integer weights on the vertices, and a token placed on some current vertex u, two players alternately remove a positive integer weight from u and then…