Riv. Mat. Univ. Parma, Vol. 5, No. 2, 2014

Ahmad Zainy Al-Yasry[1]

Cobordism group for embedded graphs

Pages: 425-434
Received: 9 September 2013   
Accepted: 7 November 2013
Mathematics Subject Classification (2010): 14L35.

Keywords: Graph cobordism group, embedded graphs, fusion and fission.
Author address:
[1] : University of Baghdad, College of Science for Women, Department of Mathematics, Baghdad, IRAQ

Abstract: We construct a cobordism group for embedded graphs using sequences of two basic operations, called "fusion" and "fission", which in terms of cobordisms correspond to the basic cobordisms obtained by attaching or removing a 1-handle.

References

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[3] L. H. Kauffman, Invariants of graphs in three-space, Trans. Amer. Math. Soc. 311 (1989), no. 2, 697710. [MR0946218]
[4] K. Taniyama, Cobordism, homotopy and homology of graphs in \(R^3\), Topology 33 (1994), no. 3, 509-523. [MR1286929]


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