@article {IOPORT.06110742, author = {Cardoso, D.M. and Silva, M.E. and Szyma\'nski, J.}, title = {A generalization of chromatic polynomial of a graph subdivision.}, year = {2012}, journal = {Journal of Mathematical Sciences (New York)}, volume = {182}, number = {2}, issn = {1072-3374}, pages = {246-254}, publisher = {Springer, New York}, doi = {10.1007/s10958-012-0745-z}, abstract = {Summary: Considering the partitions of a set into nonempty subsets, we obtain an expression for the number of all partitions of a given type. The chromatic polynomial of a graph subdivision is generalized, considering two sets of colors, and a general explicit expression is obtained for this generalization. Using these results, we determine the generalized chromatic polynomial for the particular case of complete graph subdivision.}, identifier = {06110742}, }