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- W2656016405 abstract "We show that, for all choices of integers $k>2$ and $m$, thereare simple $3$-connected $k$-crossing-critical graphscontaining more than $m$ vertices of each even degree$leq2k-2$. This construction answers one half of a questionraised by Bokal, while the other half asking analogously aboutvertices of odd degrees at least $5$ in crossing-criticalgraphs remains open. Furthermore, our constructed graphs haveseveral other interesting properties; for instance, they arealmost planar and their average degree can attain any rationalvalue in the interval $big[4,6-frac8{k+1}big)$." @default.
- W2656016405 created "2017-06-30" @default.
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- W2656016405 date "2007-01-01" @default.
- W2656016405 modified "2023-09-27" @default.
- W2656016405 title "New almost-planar crossing-critical graph families" @default.
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