A £5,000 reward has been offered for information about the murder of a frail pensioner in his house.
Robert Simpson, 67, was found dead at the property in Mayfield Drive in Armadale, West Lothian, at about 9pm last Saturday. He had been assaulted and suffered serious head injuries, police said.
The charity Crimestoppers has offered the money in relation to the police investigation.
Around 40 officers are working on the case and Lothian and Borders Police said they have received "a number of useful pieces of information" from previous appeals.
Detective Superintendent Bob Cowper said: "Despite our best efforts, we have yet to trace Mr Simpson's killer or killers. The response from the local community has been very encouraging so far, however there may still be other pieces of vital information out there and I would encourage people to come forward. There was a really positive response from the local community to our one-week-on appeal last night, and uniformed officers are continuing to provide high-visibility patrols around the Armadale area.
"I am also grateful to Crimestoppers for their help with this inquiry. Please be assured that any information passed to them will be treated in complete anonymity and they will never disclose any personal details to police. Anyone with any information relating to the murder of Mr Simpson should contact Crimestoppers anonymously on 0800 555 111 or at www.crimestoppers-uk.org."
Mr Simpson, also known as Ronnie, was described as a small, frail man who often walked with a stick or crutch and would have been "unable to defend himself".
The last confirmed sighting of him was at his home on Wednesday October 3, although police said they were following up unconfirmed sightings of him since then.
Lothian and Borders Police also said there were reports of a disturbance at his home on Friday at about 10pm. However, the force said when officers attended and conducted inquiries there were "no signs of anything untoward".
It emerged last week Mr Simpson's son Ross was the victim of an attack in a bar the day before his father was found dead. Two men have been charged with assault and appeared at Livingston Sheriff Court on Monday.