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The following results are obtained: (1) The graph Cnm·Pt is odd arithmetic when (i)m =0 (mod 2) and t=m or m+1; (ii) m=1 (mod 2) and t=m+1. (2) The graph Cn2m is odd arithmetic when (i) m=2,4 and n is any positive integer; (ii) m=3 and n is even. (3) The graph Cnm is odd arithmetic when m=4n and t=-2. (4) Pnm+1 is odd arithmetic when (i) n is odd; (ii) m ≤ 3 and n is any positive integer. (5) Windmill graph Ktn is odd arithmetic if and only if n=2. (6) Cycle Cn is odd arithmetic if and only if n = 0 (mod 4). (7) For any positive integer n and any positive integer m, Km,n is odd arithmetic.