An obstruction to embedding graphs in surfaces

Bojan Mohar
<span title="">1989</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/civgv5utqzhu7aj6voo6vc5vx4" style="color: black;">Discrete Mathematics</a> </i> &nbsp;
It is shown that the genus of an embedding of a graph can be determined by the rank of a certain matrix. Several applications to problems involving the genus of graphs are presented.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/0012-365x(89)90170-2">doi:10.1016/0012-365x(89)90170-2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/7wpseo2xszbw3l7e42vixcz6qq">fatcat:7wpseo2xszbw3l7e42vixcz6qq</a> </span>
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