The researchers analysed cases of homicide in which the social networking site Facebook had been reported by the media as a significant factor.
The researchers found 48 cases of "Facebook murder" from around the world between 2008 and 2013 and identified six different types of killers.
They are reactors, informers, antagonists, fantasists, predators or imposters.
A reactor reacts to content posted on Facebook by attacking the victim face to face, researchers explained.
This may be immediately after viewing the content that makes them angry or there may be a time delay in which they revisit the content and ruminate over its meaning.
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An antagonist engages in hostile exchanges on Facebook that escalate into face to face fatal violence. Antagonists may seek to introduce a physical advantage when the conflict goes offline through arming themselves with weapons.
A fantasist uses Facebook to perform or indulge in a fantasy. For fantasists, the line between fantasy and reality has become increasingly blurred and the homicide may be a way of maintaining the fantasy or preventing others from discovering the deception.
An imposter posts in the name of someone else. This could be the victim in order to create the illusion they are still alive or another person to gain access to and monitor the victim's profile.
"We had been coming across references to 'Facebook Murder' in the media over the past few years but there had been no research in this area," said lead researcher Dr Elizabeth Yardley from the Centre of Applied Criminology at Birmingham City University.
Yardley urged that social networking sites should not be blamed for these crimes.
"Facebook is no more to blame for these homicides than a knife is to blame for a stabbing - it's the intentions of the people using these tools that we need to focus upon," she added.