Minor-monotone crossing number
Copyright policy )Minor-monotone crossing number
The minor crossing number of a graph $G$, $rmmcr(G)$, is defined as the minimum crossing number of all graphs that contain $G$ as a minor. We present some basic properties of this new minor-monotone graph invariant. We give estimates on mmcr for some important graph families using the topological structure of graphs satisfying \$mcr(G) ≤k$.
- University of Ljubljana Slovenia
[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], QA1-939, [info.info-dm] computer science [cs]/discrete mathematics [cs.dm], crossing number, minor-monotone graph parameter, Mathematics, graph minor, [math.math-co] mathematics [math]/combinatorics [math.co]
[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], QA1-939, [info.info-dm] computer science [cs]/discrete mathematics [cs.dm], crossing number, minor-monotone graph parameter, Mathematics, graph minor, [math.math-co] mathematics [math]/combinatorics [math.co]
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