Two-state number-conserving cellular automaton (NCCA) is a of which cell states are 0 or 1, and the total sum all cells kept for any time step. It kind particle-based modeling physical systems. We introduce new structure its value-1 patterns, we call “bundle pair” quad”. By employing this structure, show relation between neighborhood size n - 2 NCCAs.

Recently, multimedia services are increasing with the widespread use of various wireless applications such as web browsers, real-time video, and interactive games, which results in traffic asymmetry between the uplink and downlink. Hence, time division duplex (TDD) systems which provide advantages in efficient bandwidth utilization under asymmetric traffic environments have become one of the mo...

In this paper we prove that the wreath product with symmetric group Sn, is cellular for algebra Z2(x). We obtain simple cell modules which satisfy semi-simplicity conditions. make use of method iterated inflations purpose.