The continualization approach to the on-line hypergraph coloring
Margarita Akhmejanova, Ilya Bogdanov, Grigory Chelnokov
TL;DR
This paper introduces a continuous generalization of the Chip Game to address online hypergraph coloring problems, providing new insights into combinatorial game theory and algorithmic strategies.
Contribution
It presents a novel continualization approach to the Chip Game, extending previous models for analyzing online hypergraph coloring.
Findings
Developed a continuous model of the Chip Game
Analyzed the implications for online hypergraph coloring
Provided new algorithmic insights for combinatorial game strategies
Abstract
The paper deals with an algorithmic problem concerning combinatorial game theory. Here we introduce and analyze a continuous generalization of Chip Game from the work of Duraj, Gutowski and Kozik. The general Chip game was introduced by Aslam and Dhagat to model on-line type problems on hypergraph coloring.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Computability, Logic, AI Algorithms