https://www.androidcentral.com/samsungs-use-graphene-batteries-increases-charge-speed-five-times
Considering that most electronics such as smartphones, tablets, laptops/notebooks, and even cars are powered by lithium ion batteries that have not seen much significant innovation in the past years, the fact that Samsung is introducing this graphene technology would probably take this slow moving industry to the next level. Just in the smartphone world, most flagship phones are becoming more and more similar to each other especially in the processor, display, build, software, and battery areas. As a consumer, the quality and size of the battery in a phone is an important factor on deciding whether or not I should buy it. Although I doubt that this technology will be implemented on the next Samsung Galaxy flagships especially after the credit it has to rebuild as a company after last year, we could finally have commonplace 4500mah+ batteries in our phones that could last us not only a few days (helpful for me since I often forget that unless I charge overnight, I'll end up with 25% power in the morning) compared to phones of today that can't last a day of heavy use without a charge, but also a few years thanks to the improved charge retention, a problem of li-ion batteries. Moving beyond the scope of phones, this tech could help create a world where electric cars can go significantly farther than their fuel based counter-parts with less charging time. The possibilities are endless. Hope Samsung doesn't mess this up.
Additional Articles
http://www.dailymail.co.uk/sciencetech/article-5121445/Samsungs-new-graphene-batteries-charge-5x-faster.html
https://finance.yahoo.com/news/great-balls-graphene-samsung-tech-111013765.html