【摘要】 B.D.Acharya和S.M.Hegde猜想[1]:（1）、如果圈C_4t+1是（k,d）的算术图,那么必有k=2td+2r,其中r是某个非负整数;（2）如果圈C_4t+3是（k,d）算术图,则k=（2t+1）d+2r,其中r是某个非负整数。本文对以上猜想给出了肯定性证明。更多还原

【Abstract】 In [1] B.D.Acharya and S.M.Hedge conjectured that (1). If circle C4t+1 is the arithmetic graph of(k,d), there must be k = 2td + 2r, where r is some non-negative integer; (2) if circleC4t+3 is the arithmetic graph of (k,d),then k = (2t + 1)d + 2r, where r is some non-negative integer; we give the proof to above conjecture in this article.更多还原