Visualising the Tutte Polynomial Computation
نویسندگان
چکیده
The Tutte polynomial is an important concept in graph theory which captures many important properties of graphs (e.g. chromatic number, number of spanning trees etc). It also provides a normalised representation that can be used as an equivalence relation on graphs and has applications in diverse areas such micro-biology and physics. A highly efficient algorithm for computing Tutte polynomials has been elsewhere developed by Haggard and Pearce. This relies on various optimisations and heuristics to improve performance; however, understanding the effect of a particular heuristic remains challenging, since the computation trees involved are very large. Therefore, we have constructed a visualisation of the computation in order to study the effect of various heuristics on the algorithms’ operation.
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