%0 Journal Article %T A graph and its complement with specified properties III: girth and circumference %A Jin Akiyama %A Frank Harary %J International Journal of Mathematics and Mathematical Sciences %D 1979 %I Hindawi Publishing Corporation %R 10.1155/s016117127900051x %X In this series, we investigate the conditions under which both a graph G and its complement G бе possess certain specified properties. We now characterize all the graphs G such that both G and G бе have the same girth. We also determine all G such that both G and G бе have circumference 3 or 4. %K graph %K complement %K girth %K circumference. %U http://dx.doi.org/10.1155/S016117127900051X