NOF-multiparty information complexity bounds for pointer jumping

Abstract

We prove a lower bound on the communication complexity of pointer jumping for multiparty one-way protocols in the number on the forehead model that satisfy a certain information theoretical restriction: We consider protocols for which the ith player may only reveal information about the first i + 1 inputs. To this end we extend the information complexity approach of Chakrabarti, Shi, Wirth, and Yao (2001) and Bar-Yossef, Jayram, Kumar, and Sivakumar (2004) to our restricted version of the multiparty number on the forehead model. The best currently known multiparty protocol for pointer jumping by Damm, Jukna, and Sgall (1998) works in this model. © Springer-Verlag Berlin Heidelberg 2006.