A universal planar graph under the minor relation
نویسندگان
چکیده
منابع مشابه
A universal planar graph under the minor relation
We construct an in nite planar graph that contains every planar graph as a minor.
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We prove that for each graph (G) (G) + 2, where and are minor-monotone graph invariants introduced by Colin de Verdi ere 3] and van der Holst, Laurent and Schrijver 5]. It is also shown that a graph G exists with (G) < (G). The graphs G with maximal planar complement and (G) = jV (G)j ? 4, characterised by Kotlov, Lovv asz and Vempala, are shown to be forbidden minors for fH j (H) < jV (G)j ? 4g.
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ژورنال
عنوان ژورنال: Journal of Graph Theory
سال: 1999
ISSN: 0364-9024,1097-0118
DOI: 10.1002/(sici)1097-0118(199910)32:2<191::aid-jgt8>3.0.co;2-i