Abelian subgroups of the Torelli group.
Vautaw, William R. (2002)
Algebraic & Geometric Topology
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Vautaw, William R. (2002)
Algebraic & Geometric Topology
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Sandro Manfredini (2003)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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In this paper we study generic coverings of branched over a curve s.t. the total space is a normal analytic surface, in terms of a graph representing the monodromy of the covering, called monodromy graph. A complete description of the monodromy graphs and of the local fundamental groups is found in case the branch curve is (with ) and the degree of the cover is equal to or .
Plummer, Michael D., Zha, Xiaoya (2002)
The Electronic Journal of Combinatorics [electronic only]
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Benoît Bertrand, Erwan Brugallé, Grigory Mikhalkin (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Cinkir, Zubeyir (2011)
The Electronic Journal of Combinatorics [electronic only]
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Kawarabayashi, Ken-Ichi, Pedersen, Anders Sune, Toft, Bjarne (2010)
The Electronic Journal of Combinatorics [electronic only]
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Bohdan Zelinka (1979)
Czechoslovak Mathematical Journal
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Vajk Szécsi (2013)
Open Mathematics
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A nearly sharp lower bound on the length of the longest trail in a graph on n vertices and average degree k is given provided the graph is dense enough (k ≥ 12.5).