Irreducibility of spatial graphs Dedicated to Professor Shin’ichi Suzuki for his 60th birthday
نویسنده
چکیده
A graph embedded in the 3-sphere is called irreducible if it is non-splittable and for any 2-sphere embedded in the 3-sphere that intersects the graph at one point the graph is contained in one of the 3-balls bounded by the 2-sphere. We show that irreducibility is preserved under certain deformations of embedded graphs. We show that certain embedded graphs are irreducible. 2000 Mathematics Subject Classification. Primary 57M25, Secondary 57M15, 05C10.
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