the throne by Halfdan's sons, Hroar and Helgi, there is no opportunity for Ingjald's son Frothi to become king. It will also be remembered that Frothi IV in the _Skjọldungasaga_, who, like Frothi IV in Saxo, was slain by Swerting (or his sons), was himself a fratricide, having caused the death of his brother Ali. Frothi IV in the _Skjọldungasaga_ corresponds to the Frothi mentioned in the _Hrólfssaga_. Thus, as a fratricide, Frothi IV in the _Skjọldungasaga_ corresponds to the Frothi in the _Hrólfssaga_, and as the victim of Swerting, he corresponds to Frothi IV in Saxo; while the account of Frothi, Ingjald's son, as the slayer of his half-brother Hroar, preserves the idea that Frothi V (in Saxo) is his brother's slayer. The _Skjọldungasaga_ has, therefore, amply retained the idea of Frothi as a fratricide, and contains an account that, in a way, embraces the essential features of the treatment of the same period in the _Hrólfssaga_, on the one hand, and in Saxo, on the other. The relationship in the _Skjọldungasaga_ of Frothi (Ingjald's father), Swerting, Ingjald, and Swerting's daughter is identical with that in the Ingjald lay. Thus we see how, at the most conspicuous and interesting juncture of the Danish royal line, the _Skjọldungasaga_ harmonizes conflicting traditions.[184] This involves a train of consequences, among which are the following:-- 1. "The short and chronicle-like form [i.e., of the Hroar-Helgi story] in the _Skjọldungasaga_, where the murderer is called Ingjald, not Frothi," is taken from the account that appears in the _Hrólfssaga_; this account must therefore be earlier than the corresponding account in the _Skjọldungasaga_. 2. As the story about Frothi, Halfdan, etc., in the _Bjarkarímur_ is substantially the same as in the _Skjọldungasaga_, it must be derived from the same source as the story in the _Skjọldungasaga_. The _Bjarkarímur_ are, therefore, at this point a later composition than the corresponding portion of the _Hrólfssaga_; and this fact affords further corroboration of the idea that the stories in the _rímur_ of Bjarki's slaying the wolf and Hjalti's slaying the bear are later than the _Hrólfssaga's_ account of Bjarki's slaying the winged monster. 3. When the _Skjọldungasaga_ says that Hrolf Kraki met Hrani-Odin on the expedition to Sweden, though nothing is said about such a meeting in _Snorri's Edda_, the idea is probably taken from a version of the story essentially as we have it in the _Hrólfssaga_.[185] 4. Though the _Hrólfssaga_ is made up of elements of varying degrees of antiquity and merit, it contains features worthy of more consideration than has generally been accorded them.