Let G be a simple graph with n vertices. The coloring complex ∆(G) was defined by Steingrı́msson, and the homology of ∆(G) was shown to be nonzero only in dimension n − 3 by Jonsson. Hanlon recently showed that the Eulerian idempotents provide a decomposition of the homology group Hn−3(∆(G)) where the dimension of the j component in the decomposition, H n−3(∆(G)), equals the absolute value of th...

1 Faculté des Sciences Technique de Mohammedia (FSTM), B.P. 146 Mohammedia, Maroc. 2 Agence Nationale de Réglementation des Télécommunications (ANRT), Complexe d’Affaires aile sud Ar-ryad, Hay riad 10100, BP 2939 Rabat Maroc 3 Laboratoire PRiSM, Universite de Versailles,45 avenue des Etats-Unis,78035 Versailles Cedex France. E-mail:{[email protected];[email protected], Karine.Zeitouni...