The phrase "a vigorous reduction" is correct and usable in written English.
It can be used in contexts where you want to describe a significant or forceful decrease in something, such as costs, size, or intensity.
Example: "The company implemented a vigorous reduction in expenses to improve its financial health."
Alternatives: "a substantial decrease" or "a significant cut".
Scanning electron microscopic images of the surface not obstructed by nanoparticles reveal crystallographic etching patterns.[ 24] Extreme negative potentials cause vigorous reduction of protons and/or water molecules at the electrode.
Veal chop, for example, is grilled and served on a bed of vegetables -- snow peas, cubed zucchini, shaved carrots, mushrooms and diced potatoes, as it turns out -- with a vigorous port-wine reduction.
About a year ago, with the British economy seemingly recovering fairly well from the financial crisis of 2008, David Cameron's Conservative-Liberal coalition embarked on a vigorous policy of deficit reduction, raising taxes and cutting government spending in an effort to balance the budget by 2015.
Singapore, for example, has for many years implemented a vigorous program of domestic vector source reduction and insecticide spraying in a full GIS-enabled public health protection effort.
Some City Council members are deeply conflicted over competing tax plans proposed by Speaker Gifford Miller and Mayor Michael R. Bloomberg, ensuring a vigorous debate at City Hall over what kind of property tax reduction residents are likely to see next year.
In the late 1980s George Kelling, a former probation officer who now works at Rutgers University, initiated what became a vigorous campaign to remove graffiti from New York City's subway system, which was followed by a reduction in petty crime.
The White House made clear today that it planned a vigorous defense of last year's tax cut and of its call for new and accelerated tax reductions.
Geffen had about him a vigorous energy.
A vigorous law enforcement response is essential.
