Using combinatorial maps for algorithms on graphs
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DOI:
https://doi.org/10.15625/1813-9663/37/3/16253Keywords:
Graph algorithms, Topological embeddings, spanning trees Tutte polynomials.Abstract
The aim of this paper is to come back to a data structure representation of graph by permutations. This originated in the years 1960-1970 by contributions due to J. Edmonds [7], A. Jacques [11], W. Tutte [22] in order to consider the embedding of a graph in a surface as a combinatorial object. Some algebraic developments where suggested in [4] and [12]. It was also used for implementation in different situation, like planarity testing by H. de Fraysseix and P. Rosenstiehl [6], computer vision by G. Damiand and A. Dupas [5] or formal proofs by G. Gonthier [9].
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Published
27-09-2021
How to Cite
[1]
R. Cori, “Using combinatorial maps for algorithms on graphs”, J. Comput. Sci. Cybern., vol. 37, no. 3, p. 185–200, Sep. 2021.
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