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- W2294072536 abstract "Answering an open question from 2007, we construct infinite k-crossing-critical families of graphs which contain vertices of any prescribed odd degree, for sufficiently largei¾?k. From this we derive that, for any set of integers D such that $$min Dge 3$$ and $$3,4in D$$, and for all sufficiently large k there exists a k-crossing-critical family such that the numbers in D are precisely the vertex degrees which occur arbitrarily often in any large enough graph in this family. We also investigate what are the possible average degrees of such crossing-critical families." @default.
- W2294072536 created "2016-06-24" @default.
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- W2294072536 date "2015-01-01" @default.
- W2294072536 modified "2023-09-25" @default.
- W2294072536 title "On Degree Properties of Crossing-Critical Families of Graphs" @default.
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- W2294072536 doi "https://doi.org/10.1007/978-3-319-27261-0_7" @default.
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