Supported by the National Natural Science Foundation of China(10761008);the Scientific Research Foundation of the Education Department of Guangxi Province of China(201010LX471,201010LX495,201106LX595,201106LX608);the Natural Science Fund of Hechi University(2011YBZ-N003,2012YBZ-N004)
The Hosoya index of a graph is defined as the total number of the matching of the graph. In this paper, the ordering of polygonal chains with respect to Hosoya index is characterized.