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Creators/Authors contains: "Solon, Vincent"

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  1. ; ; ; (, journal of Groups, complexity, cryptology)
    In this paper, we study geodesic growth of numbered graph products; these area generalization of right-angled Coxeter groups, defined as graph products offinite cyclic groups. We first define a graph-theoretic condition calledlink-regularity, as well as a natural equivalence amongst link-regular numberedgraphs, and show that numbered graph products associated to link-regularnumbered graphs must have the same geodesic growth series. Next, we derive aformula for the geodesic growth of right-angled Coxeter groups associated tolink-regular graphs. Finally, we find a system of equations that can be used tosolve for the geodesic growth of numbered graph products corresponding tolink-regular numbered graphs that contain no triangles and have constant vertexnumbering. 
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