No Access

A NUMERICAL INVARIANT FOR TWO COMPONENT SPATIAL GRAPHS

Department of Mathematics, School of Arts and Sciences, Tokyo Woman's Christian University, 2-6-1, Zempukuji, Suginami-ku, Tokyo, 167-8585, Japan

Search for more papers by this author

and

YOSHIYUKI OHYAMA

Search for more papers by this author

https://doi.org/10.1142/S0218216510008364Cited by:0 (Source: Crossref)

Abstract

We define an invariant for two component spatial graphs. Although the definition of the invariant is alike a linking number, it is different from the absolute value of a linking number. We show that the invariant is not a finite type invariant.

Dedicated to Professor Akio Kawauchi for his 60th birthday

Keywords:

AMSC: 57M25, 05C10

References

L. H. Kauffman, Trans. Amer. Math. Soc. 311(2), 697 (1989). Crossref, Web of Science, Google Scholar
Y. Ohyama, J. Knot Theory Ramifications 5(2), 265 (1996), DOI: 10.1142/S0218216596000187. Link, Web of Science, Google Scholar
Y. Ohyama and K. Taniyama, Pacific J. Math. 200(1), 191 (2001), DOI: 10.2140/pjm.2001.200.191. Crossref, Web of Science, Google Scholar
T. Stanford, Topology 35(4), 1027 (1996), DOI: 10.1016/0040-9383(95)00056-9. Crossref, Web of Science, Google Scholar
S. Yamada, J. Graph Theory 13(4), 537 (1989), DOI: 10.1002/jgt.3190130503. Crossref, Web of Science, Google Scholar

Vol. 19, No. 09

Metrics

Downloaded 51 times

History

Accepted 19 June 2009

Keywords

PDF download

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

A NUMERICAL INVARIANT FOR TWO COMPONENT SPATIAL GRAPHS

Abstract

Recommended