Geodesic
HYPERELLIPTIC GRAPHS ANDMETRIZED COMPLEXES
Forum of Mathematics, Sigma, Tome 5 (2017)

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We prove a version of Clifford’s theorem for metrized complexes. Namely, a metrized complex that carries a divisor of degree $2r$ and rank $r$ (for $0$ ) also carries a divisor of degree 2 and rank 1. We provide a structure theorem for hyperelliptic metrized complexes, and use it to classify divisors of degree bounded by the genus. We discuss a tropical version of Martens’ theorem for metric graphs. 
@article{10_1017_fms_2017_13,
     author = {YOAV LEN},
     title = {HYPERELLIPTIC {GRAPHS} {ANDMETRIZED} {COMPLEXES}},
     journal = {Forum of Mathematics, Sigma},
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     year = {2017},
     doi = {10.1017/fms.2017.13},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2017.13/}
}
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YOAV LEN. HYPERELLIPTIC GRAPHS ANDMETRIZED COMPLEXES. Forum of Mathematics, Sigma, Tome 5 (2017). doi: 10.1017/fms.2017.13

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