Displaying similar documents to “On computing quaternion quotient graphs for function fields”

Two linear time algorithms for MST on minor closed graph classes

Martin Mareš (2004)

Archivum Mathematicum

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This article presents two simple deterministic algorithms for finding the Minimum Spanning Tree in O ( | V | + | E | ) time for any non-trivial class of graphs closed on graph minors. This applies in particular to planar graphs and graphs of bounded genus. Both algorithms run on a pointer machine and they require no a priori knowledge of the structure of the class except for its density. Edge weights are only compared.

Computing fundamental domains for Fuchsian groups

John Voight (2009)

Journal de Théorie des Nombres de Bordeaux

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We exhibit an algorithm to compute a Dirichlet domain for a Fuchsian group Γ with cofinite area. As a consequence, we compute the invariants of Γ , including an explicit finite presentation for Γ .