Abstract:Thispaperanalyzesakindofdouble一loopnetworksDL(N,h),wherethegreatesteommon divisor15equaltoh.ItprovesthattheshortestPathbetweenanytwogivennodesinthesenetworks15 oneandonly,andeanbeexpressedwithsimPlemathematiealequations.Theequationsfortheshortest patharepresented,andbasedonthemasimplealgorithm15proposedtofindtheshortestpathforany pairofnodesinthesenetworks.Inaddition,thediameterandotherissuesaboutthiskindofnetworks arediseussed.It15provedthattheaveragedistaneebetweentwonodes15equaltohaifofthediameter.