Galois graphs: Walks, trees and automorphisms
Journal of Algebraic Combinatorics, Tome 10 (1999) no. 2, pp. 135-148.

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Summary: Given a symmetric polynomial [ `$( k)] \bar k$ as the vertex set and adjacencies corresponding to the zeroes of [ `$( k)] \bar k / k)$ to the automorphism group of certain classes of Galois graphs. Finally, an application concerning modular curves classifying pairs of isogeny elliptic curves is revisited.
Keywords: Galois, graph, digraph, tree, automorphism
@article{JAC_1999__10_2_a3,
     author = {Brunat, Josep M. and Lario, Joan-C.},
     title = {Galois graphs: {Walks,} trees and automorphisms},
     journal = {Journal of Algebraic Combinatorics},
     pages = {135--148},
     publisher = {mathdoc},
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     number = {2},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_1999__10_2_a3/}
}
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Brunat, Josep M.; Lario, Joan-C. Galois graphs: Walks, trees and automorphisms. Journal of Algebraic Combinatorics, Tome 10 (1999) no. 2, pp. 135-148. http://geodesic.mathdoc.fr/item/JAC_1999__10_2_a3/