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Even circuits in planar graphs

✍ Scribed by P.D Seymour


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
606 KB
Volume
31
Category
Article
ISSN
0095-8956

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## Abstract Let __G__ be a connected graph which is projective‐planar but is not planar. It will be shown that __G__ can be embedded in the projective plane so that it has only even faces if and only if either __G__ is bipartite or its canonical bipartite covering is planar and that such an embeddi

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The following result is being proved. Theorem: Let e be an arbitrary line of the 2-connected, 3-regular, planar graph G such that e cioes not belong to any cut set of size 2. Then G contains an even cycle for which e is a chord.