English

Feedback game on Eulerian graphs

Computer Science and Game Theory 2020-02-25 v1 Discrete Mathematics Combinatorics

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.

Keywords

Cite

@article{arxiv.2002.09570,
  title  = {Feedback game on Eulerian graphs},
  author = {Naoki Matsumoto and Atsuki Nagao},
  journal= {arXiv preprint arXiv:2002.09570},
  year   = {2020}
}

Comments

16 pages, 12 figures

R2 v1 2026-06-23T13:50:01.210Z