Abstract
For any graph G=(V,E) without loops, let denote the regular CW-complex obtained from G by attaching to each circuit C of G a disc. We show that if G is the suspension of a flat graph, then has an embedding into 4-space. Furthermore, we show that for any graph G in the collection of graphs that can be obtained from K7 and K3,3,1,1 by a series of ¿Y- and Y¿-transformations, cannot be embedded into 4-space.
Original language | English |
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Pages (from-to) | 388-404 |
Journal | Journal of Combinatorial Theory, Series B |
Volume | 96 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2006 |