@article{oai:niigata-u.repo.nii.ac.jp:00001907, author = {Tamura, Hiroshi and Nakano, Keisuke and Sengoku, Masakazu}, issue = {4}, journal = {IEICE transactions on fundamentals of electronics, communications and computer sciences, IEICE transactions on fundamentals of electronics, communications and computer sciences}, month = {Apr}, note = {In this paper we extend the p-collection problem to a flow network with lower bounds, and call the extended problem the lower-bounded p-collection problem. First we discuss the complexity of this problem to show NP-hardness for a network with path structure. Next we present a linear time algorithm for the lower-bounded 1-collection problem in a network with tree structure, and a pseudo-polynomial time algorithm with dynamic programming type for the lower-bounded p-collection problem in a network with tree structure. Using the pseudo-polynomial time algorithm, we show an exponential algorithm, which is efficient in a connected network with few cycles, for the lower-bounded p-collection problem.}, pages = {651--657}, title = {The p-Collection Problem in a Flow Network with Lower Bounds}, volume = {E80-A}, year = {1997} }