Read this excerpt from white fang.

but lip-lip had lived his life in camp and had fought many puppy fights. three times, four times, and half a dozen times, his sharp little teeth scored on the newcomer, until white fang, yelping shamelessly, fled to the protection of his mother. it was the first of the many fights he was to have with lip-lip, for they were enemies from the start, born so, with natures destined perpetually to clash.

which character trait of both lip-lip and white fang is revealed through their conflict?

The need to be the dominant one.

Explanation:

In this excerpt we can see that Lip-Lip had fought many puppy fights and his teeth scored on the newcomer every time a new puppy arrived. He did this to prove his dominance to the other dogs, however, when White Fang arrived he had his fight with Lip- Lip but the excerpt tells us that it was only the first of many fights since their natures were destined to clash.

Therefore, we can tell that through this conflict, that both Lip-lip and White Fang had the need to be the dominant one.

is that the whole question?