On Graphs with the Smallest Eigenvalue at Least $-1-\sqrt{2}$, part II

This is a continuation of the article with the same title. In this paper, the family H is the same as in the previous paper "On Graphs with the Smallest Eigenvalue at Least $-1-\sqrt{2}$, part I". The main result is that a minimal graph which is not an H -line graph, is just isomorphic to one of the 38 graphs found by computer.

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