@article{oai:teapot.lib.ocha.ac.jp:00034603, author = {Hosoya, haruo}, issue = {2}, journal = {お茶の水女子大學自然科學報告}, month = {Feb}, note = {application/pdf, 紀要論文, Various triplet series of caterpillar graphs are discovered whose topological indices (Z's) represent certain series of mostly primitive Pythagorean triples (PT's). Then quite a new type of method for generating PT's is proposed as follows: Namely one can draw triplet series of caterpillar graphs with mirror symmetry according to the specified recipe, whose Z indices correspond to the edges of a series of PT's. The proof and examples of this theorem are given.}, pages = {15--25}, title = {Pythagorean triples. II. Growing caterpillar graphs generating Pythagorean triples}, volume = {59}, year = {2009} }