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Tangle and Ultrafilter: Game Theoretical Interpretation

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This paper extends the concept of filter on X into ( X ,  f ), where X is a finite underlying set and f is a symmetric submodular function from… Click to show full abstract

This paper extends the concept of filter on X into ( X ,  f ), where X is a finite underlying set and f is a symmetric submodular function from $$2^X$$ 2 X to N . Then, we show a cryptomorphism between a free ultrafilter and co-tangle on ( X ,  f ). The paper also provides game-theoretical interpretations of a branch decomposition tree and a free ultrafilter on ( X ,  f ).

Keywords: game; tangle ultrafilter; ultrafilter game; theoretical interpretation; game theoretical

Journal Title: Graphs and Combinatorics
Year Published: 2020

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