We present the composite luminosity function of a sample of 17 low-redshift galaxy clusters . Our luminosity functions have been measured for an inner region ( r \leq r _ { 200 } ) and an outer region ( r _ { 200 } \leq r \leq 2 r _ { 200 } ) centred on each Brightest Cluster Galaxy . The inner region luminosity function has a significantly flatter faint-end slope ( \alpha _ { inner } = -1.81 \pm 0.02 ) than the outer region ( \alpha _ { outer } = -2.07 \pm 0.02 ) . These results are consistent with the hypothesis that a large fraction of dwarf galaxies near cluster centres are being tidally disrupted .