Abstract
Given a graph G, a designated vertex r and a natural number k, we wish to find k independent spanning trees of G rooted at r, that is, k spanning trees such that, for any vertex v, the k paths connecting r and v in the k trees are internally disjoint in G. In this paper we give a linear-time algorithm to find four independent spanning trees in a 4-connected planar graph rooted at any vertex.
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© 1998 Springer-Verlag Berlin Heidelberg
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Miura, K., Takahashi, D., Nakano, Si., Nishizeki, T. (1998). A Linear-Time Algorithm to Find Four Independent Spanning Trees in Four-Connected Planar Graphs. In: Hromkovič, J., Sýkora, O. (eds) Graph-Theoretic Concepts in Computer Science. WG 1998. Lecture Notes in Computer Science, vol 1517. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10692760_25
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DOI: https://doi.org/10.1007/10692760_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-65195-6
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