Modern medical wireless systems, such as wireless body area networks (WBANs), are applications of wireless networks that can be used as a tool of data transmission between patients and doctors. Accuracy of data transmission is an important requirement for such systems. In this paper, we will propose a WBAN which is robust against erasures and describe its properties using graph theoretic techniques.• t = sr for some s ∈ N and therefore, n = sk holds.Since n > k in general, we have s ≥ 2. • Relay R j receives and encodes t packets P js+1 , P js+2 , . . . , P js+t where js + ℓ is computed modulo n for each j = 0, 1, . . . , k − 1. • Each encoded outgoing packet (to be sent to the MS) has the form P i or P i ⊕ P i ′ , i = i ′ , where as usual ⊕ denotes addition of binary vectors. In other words, f a (P 1 , ..., P n ) is either P i or P i ⊕ P i ′ for some i, i ′ .

Abstract-The class of periodic-finite-type shifts (PFT's) is a class of sofic shifts that strictly includes the class of shifts of finite type (SFT's), and the zeta function of a PFT is a generating function for the number of periodic sequences in the shift. In this paper, we derive a useful formula for the zeta function of a PFT. This formula allows the zeta function of a PFT to be computed more efficiently than the specialization of a formula known for a generic sofic shift.

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