XU Bao-gang conjectured: If the clique complex C(G) of a graph G is acyclic, G is contractible. In this paper we prove that the conjecture holds for planar graphs.

• 摘要许宝刚猜想：若图G的团复形是无圈的，则G为可伸缩图。本文证明了该猜想对平面图成立，即：若G是团复形为无圈的平面图，则G为可伸缩图。