A Graph-Theoretic Approach to the Analysis of Contra Dances

Year: 2016 Authors: Matthew Thomas; Crystal Peebles

Core claim

Contra dances can be represented more naturally and flexibly as paths in a directed multigraph than by linear algebra alone, enabling analysis of all possible dances and their transitions.

Topics

contra dance, graph theory, dance analysis, multigraphs, dance composition

Domains

graph theory, linear algebra, directed graphs, multigraphs, mathematical modeling, folk dance, choreography, performance analysis

Methods

constructing directed multigraphs, representing dance calls as transitions, comparison with matrix-based modeling, path-based dance enumeration, statistical study

Media

OCR text, Figure 1: Illustration of progression of dancers, Figure 2: sample preferred transition graph, Sage Mathematics Software, online video examples

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.