Counting Hamiltonian Paths in Transitive Tournaments
Zeina Ghazo Hanna, Amine El Sahili
TL;DR
This paper introduces a combinatorial function to count the number of oriented Hamiltonian paths of any type in transitive tournaments, exploring its properties and implications.
Contribution
It presents a novel combinatorial function for counting Hamiltonian paths in transitive tournaments and analyzes its properties.
Findings
Defined a function F for counting paths
Analyzed properties of F in transitive tournaments
Provided observations on combinatorial structures
Abstract
We construct a combinatorial function F which computes the number of oriented Hamiltonian paths of any given type, in a transitive tournament. We also study many properties of F that arise, and reach some observations.
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Taxonomy
TopicsArtificial Intelligence in Games · Game Theory and Voting Systems · Advanced Database Systems and Queries