The Hohmann transfer is a specific transfer where the ΔV maneuvers are conducted at apogee and perigee of the elliptic transfer orbit.  However, it is possible to conduct these ΔV maneuvers at true anomalies other than apogee and perigee, as depicted below.

These transfers result in shorter transfer times to Mars, however, they cost more in terms of ΔV, which results in more fuel spent, hence more money spent.  The diagram below depicts the ΔV for these types of interplanetary transfers.

Typically, these transfers are defined in terms of their C3 value.  The C3 value is equal to the square of the hyperbolic excess velocity, also known as the velocity at infinity (or a very large r, radius, value).

C3 = V∞2

The greater the C3 value, the faster the hyperbolic velocity, the shorter the transfer time, but at the expense of more fuel and money spent.

Returning to the energy equation, a C3 = 100 would be a V∞ of 10 km/s

So for a C3 = 100 launch, the specific energy of the transfer would be 50 km2/s2.  Comparatively, the Hohmann transfer had a specific energy of -351.9104 km2/s2.  This in an increase of almost 400 km2/s2.

This increase in specific energy can reduce the time of flight to Mars to about 120 days or 4 months, while the Hohmann transfer is about 255 days, or 8.5 months.  This is a reduction in transfer time of by just over 50%.