Cameron Logan, 23, died in the blaze at his family home in Milngavie, East Dunbartonshire, in the early hours of January 1.
2000 Jobs Axed At Edinburgh Council
About 2,000 jobs are at risk at Edinburgh City Council amid a £126 million funding gap.
The local authority said it is looking to save a total of £141 million over a four-year period, with papers going before councillors to include proposals to reduce staff numbers over the next two years.
Councillors are also being told they might need to consider compulsory redundancies as a further option despite an earlier pledge made by the Labour-SNP coalition not to do so.
The proposals are contained in reports detailing a range of cost-saving actions to be discussed at the council's finance committee next Thursday.
The council said the workforce makes up 60% of its budget and it would be "unrealistic" to make the required savings without reducing the number of employees.
Councillor Alasdair Rankin, finance convener, said: "We are very clear about the scale of the financial challenge that the council is facing.
"The council is experiencing greater demand for services than ever before, with a growing population in Edinburgh and increasing numbers of older people and younger people, while our overall budget remains the same.
"We need to take action in order to achieve the necessary savings to meet this demand and we are making every effort to do this in a way that will safeguard frontline services for the people of Edinburgh.''
He added: "We want to invest in the services that are important to the public but must also look to rationalise our spending where appropriate.
"We recognise that some of these proposals may involve tough decisions, including a reduction in council jobs, particularly in middle management. But while this won't to be easy, savings will allow us to prioritise the things that matter most to people.''
Ross Monaghan, 35, was shot near St George's Primary School in the Penilee area of Glasgow.
Support staff working in Scotland's schools are feeling exhausted, undervalued and stressed, according to a trade union study.
Police investigating the death of a man in South Lanarkshire have made an arrest.
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