We show that for a large class of knots and links with complements in admitting a hyperbolic structure, we can determine bounds on the volume of the link complement from combinatorial information given by a link diagram. Specifically, there is a universal constant C such that if a knot or link admits a prime, twist reduced diagram with at least 2 twist regions and at least C crossings per twist region, then the link complement is hyperbolic with volume bounded below by 3.3515 times the number of twist regions in the diagram. C is at most 113.
"Volumes of highly twisted knots and links." Algebr. Geom. Topol. 7 (1) 93 - 108, 2007. https://doi.org/10.2140/agt.2007.7.93