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Title of article :
Obstructions for embedding cubic graphs on the spindle surface
Author/Authors :
Archdeacon، نويسنده , , Dan and Bonnington، نويسنده , , C.Paul، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2004
Pages :
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Abstract :
The spindle surface S is the pinched surface formed by identifying two points on the sphere. In this paper we examine cubic graphs that minimally do not embed on the spindle surface. We give the complete list of 21 cubic graphs that form the topological obstruction set in the cubic order for graphs that embed on S. h G is nearly planar if there exists an edge e such that G−e is planar. We show that a cubic obstruction for near-planarity is the same as an obstruction for embedding on the spindle surface. Hence we also give the topological obstruction set for cubic nearly planar graphs.
Keywords :
cubic graphs , Graph embeddings , Obstructions , Spindle surface
Journal title :
Journal of Combinatorial Theory Series B
Serial Year :
Link To Document :