We prove that if L(G) immerses Kt then L(mG) immerses Kmt, where mG is the graph obtained from G by replacing each edge in G with a parallel edge of multiplicity m. This implies that when G is a simple graph, L(mG) satisfies a conjecture of Abu-Khzam and Langston. We also show that when G is a line graph, G has a Kt-immersion iff G has a Kt-minor whenever t ≤ 4, but this equivalence fails in both directions when t = 5.
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