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We investigate the occurrence and nature of a naked singularity in thegravitational collapse of an inhomogeneous dust cloud described by aself-similar higher dimensional Tolman-Bondi space-time. Bound, marginallybound and unbound space-times are analyzed. The degree of inhomogeneity of thecollapsing matter necessary to form a naked singularity is given.Comment: 5 pages, RevTeX 4, no figures, 2 tables, Accepted in IJMP

NON-MARGINALLY BOUND INHOMOGENEOUS DUST COLLAPSE IN HIGHER DIMENSIONAL SPACE–TIME