Feedback game on Eulerian graphs

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Naoki Matsumoto, Atsuki Nagao

Published: 01 Jan 2020, Last Modified: 26 Jul 2025CoRR 2020EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: In this paper, we introduce a two-player impartial game on graphs, called a {\em feedback game}, which is a variant of the generalized geography. We study the feedback game on Eulerian graphs. In particular, we show that the PSPACE-completeness of the game and determine the winner of the game on several classes of Eulerian graphs.