Abstract
A relative embedding of a graph in a surface with respect to a set of closed walks is one where each of the prescribed closed walks bounds a face of the embedding In the special case where the set of closed walks is empty, this amounts to the usual concept of a graph embedding. We present a formula for the maximum (orientable) genus of the surface on which a graph has a relative embedding with respect to a set of closed walks.
Original language | English |
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Pages (from-to) | 195-206 |
Number of pages | 12 |
Journal | Journal of Combinatorial Theory, Series B |
Volume | 60 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Jan 1994 |
Externally published | Yes |