Simulations of simple models of polymer chains were carried out by the mean
s of the dynamic Monte Carlo method. The model chains were confined to a si
mple cubic lattice. Three different chain architectures were studied: linea
r, star-branched and ring chains. The polymer model chain interacted with a
n impenetrable surface with a simple contact attractive potential. It was f
ound that size parameters of all these polymers obey scaling laws. The temp
eratures of the transitions from weakly to strongly adsorbed chain were det
ermined. It was shown for weakly adsorbed chains that ring polymers an alwa
ys ca 50% more adsorbed than linear and star-branched ones. The properties
of adsorbed linear and star-branched polymers are very similar in the lengt
h of chain and the strength of adsorption studied Strongly adsorbed ring po
lymers are still more adsorbed but differences between all kinds of chains
become less pronounced.