In this paper, we define a roll-attaching operation of a hexagonal chain, and prove Gutman's conjecture affirmatively by using the operation. The idea of the proof is also applicable to the results concerning extr...In this paper, we define a roll-attaching operation of a hexagonal chain, and prove Gutman's conjecture affirmatively by using the operation. The idea of the proof is also applicable to the results concerning extremal hexagonal chains for the Hosoya index and Merrifield-Simmons index.展开更多
基金the Foundation for University Key Teacher by Education Ministry of China the National Natural Science Foundation of China (Grant No. 19831080) .
文摘In this paper, we define a roll-attaching operation of a hexagonal chain, and prove Gutman's conjecture affirmatively by using the operation. The idea of the proof is also applicable to the results concerning extremal hexagonal chains for the Hosoya index and Merrifield-Simmons index.
