Abstract
It has already been suggested, in the preamble to 4. 19, that relative cycles have some connexion with the regions into which a graph divides a surface. To be a little more precise, let M be a closed surface and let K be a graph which is a sub- complex of M. If K is removed from M, what is left is a number of disjoint subsets of M which we refer to as the “regions” into which K divides M. (Alternatively we may picture M as being cut along K: it falls into separate pieces, one for each region.)
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© 1977 1981 P. J. Giblin
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Giblin, P.J. (1977). Graphs in surfaces. In: Graphs, Surfaces and Homology. Chapman and Hall Mathematics Series. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5953-8_10
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DOI: https://doi.org/10.1007/978-94-009-5953-8_10
Publisher Name: Springer, Dordrecht
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