Graph Theory of Tower Tasks

The appropriate mathematical model for the problem space of tower transformation tasks is the state graph representing positions of discs or balls and their moves. Graph theoretical quantities like distance, eccentricities or degrees of vertices and symmetries of graphs support the choice of problem...

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Main Author: Andreas M. Hinz
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Behavioural Neurology
Online Access:http://dx.doi.org/10.3233/BEN-2012-0345
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author Andreas M. Hinz
author_facet Andreas M. Hinz
author_sort Andreas M. Hinz
collection DOAJ
description The appropriate mathematical model for the problem space of tower transformation tasks is the state graph representing positions of discs or balls and their moves. Graph theoretical quantities like distance, eccentricities or degrees of vertices and symmetries of graphs support the choice of problems, the selection of tasks and the analysis of performance of subjects whose solution paths can be projected onto the graph. The mathematical model is also at the base of a computerized test tool to administer various types of tower tasks.
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spelling doaj-art-4e7f22bc48da4dacaf1f738b15e1afbf2025-02-03T06:06:42ZengWileyBehavioural Neurology0953-41801875-85842012-01-01251132210.3233/BEN-2012-0345Graph Theory of Tower TasksAndreas M. Hinz0Mathematisches Institut, Ludwig-Maximilians-Universität München, Theresienstraße 39, 80333 München, GermanyThe appropriate mathematical model for the problem space of tower transformation tasks is the state graph representing positions of discs or balls and their moves. Graph theoretical quantities like distance, eccentricities or degrees of vertices and symmetries of graphs support the choice of problems, the selection of tasks and the analysis of performance of subjects whose solution paths can be projected onto the graph. The mathematical model is also at the base of a computerized test tool to administer various types of tower tasks.http://dx.doi.org/10.3233/BEN-2012-0345
spellingShingle Andreas M. Hinz
Graph Theory of Tower Tasks
Behavioural Neurology
title Graph Theory of Tower Tasks
title_full Graph Theory of Tower Tasks
title_fullStr Graph Theory of Tower Tasks
title_full_unstemmed Graph Theory of Tower Tasks
title_short Graph Theory of Tower Tasks
title_sort graph theory of tower tasks
url http://dx.doi.org/10.3233/BEN-2012-0345
work_keys_str_mv AT andreasmhinz graphtheoryoftowertasks