Geodesic
On the Simple Z2-homotopy Types of Graph Complexes and Their Simple Z2-universality
Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 535-544

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DOI

We prove that the neighborhood complex $\text{N}\left( G \right)$ , the box complex $\text{B}\left( G \right)$ , the homomorphism complex $\text{Hom}\left( {{K}_{2}},\,G \right)$ and the Lovász complex $\text{L}\left( G \right)$ have the same simple ${{\mathbb{Z}}_{2}}$ -homotopy type in the sense of Whitehead. We show that these graph complexes are simple ${{\mathbb{Z}}_{2}}$ -universal.
DOI : 10.4153/CMB-2008-053-9
Mots-clés : 57Q10, 05C10, 55P10, graph complexes, simple Z2-homotopy, universality 
Csorba, Péter. On the Simple Z2-homotopy Types of Graph Complexes and Their Simple Z2-universality. Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 535-544. doi: 10.4153/CMB-2008-053-9
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     title = {On the {Simple} {Z2-homotopy} {Types} of {Graph} {Complexes} and {Their} {Simple} {Z2-universality}},
     journal = {Canadian mathematical bulletin},
     pages = {535--544},
     year = {2008},
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     doi = {10.4153/CMB-2008-053-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-053-9/}
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