Reduced Wu and generalized Simon invariants for spatial graphs

Reduced Wu and generalized Simon invariants for spatial graphs

We introduce invariants of graphs embedded in S3 which are related to the Wu invariant and the Simon invariant. Then we use our invariants to prove that certain graphs are intrinsically chiral, and to obtain lower bounds for the minimal crossing number of particular embeddings of graphs in S3.

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Veröffentlicht in:Mathematical proceedings of the Cambridge Philosophical Society 2014-05, Vol.156 (3), p.521-544
Hauptverfasser: FLAPAN, ERICA, FLETCHER, WILL, NIKKUNI, RYO
Format: Artikel
Sprache:eng
Schlagworte:
Graph theory
Graphs
Invariants
Lower bounds
Mathematical analysis
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Beschreibung
Zusammenfassung:We introduce invariants of graphs embedded in S3 which are related to the Wu invariant and the Simon invariant. Then we use our invariants to prove that certain graphs are intrinsically chiral, and to obtain lower bounds for the minimal crossing number of particular embeddings of graphs in S3.
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004114000073