| Moss FK beat Viking FK 3-0 (H) on 20 Aug 1978 |
| Viking FK beat FK Bodø/Glimt 2-0 (H) on 3 Jun 1978 |
| FK Bodø/Glimt beat Lyn Oslo 2-1 (H) on 30 Jul 1978 |
| Lyn Oslo beat Skeid Oslo 4-1 (H) on 5 Jun 1978 |
| Skeid Oslo beat IK Start 1-0 (A) on 24 May 1978 |
| IK Start beat Lillestrøm SK 2-1 (A) on 4 May 1978 |
| Lillestrøm SK beat Steinkjer IFK 2-0 (A) on 4 Jun 1978 |
| Steinkjer IFK beat Molde FK 4-2 (A) on 28 May 1978 |
| Molde FK beat SK Brann 4-1 (H) on 6 Aug 1978 |
| SK Brann beat Bryne FK 5-1 (A) on 11 Jun 1978 |
| Bryne FK beat Vålerenga IF 3-2 (A) on 14 Aug 1978 |
| Vålerenga IF beat Moss FK 3-2 (H) on 31 Jul 1978 |
HWC: Thick arrows show the earliest chain of wins that passes through every team and returns to its start.