It's one of the biggest decisions in the modern history of Celtic - who should be Neil Lennon's permanent replacement?

The Irishman resigned from his post after the defeat to Ross County on Sunday night, and with the league gone the next move is crucial.

The new manager will be expected to wrest the title back from Rangers, while overseeing a likely rebuild in the summer.

The likes of Odsonne Edouard and Kris Ajer are likely to be on the way out while captain Scott Brown's future is up in the air.

In such a delicate situation Celtic really can't afford to get it wrong and a plethora of names have been linked with the job.

Here's who's reported to be in the frame.

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John Kennedy

Lennon's assistant has stepped in as caretaker and has been installed as favourite by the bookies. However, club and fans will want a more experienced appointment.

Eddie Howe

Took Bournemouth from League Two to the Premier League and kept them there for five years. At 43 Howe is still very much on the rise - but will last season's relegation count against him?

Steve Clarke

Steve Clark guided Scotland to the Euros in November's playoff

Formerly assistant to Jose Mourinho at Chelsea, Clarke's stock has never been higher after taking Kilmarnock into Europe and then Scotland to a major tournament. His pragmatic style of play might be a tough sell for fans though.

Frank Lampard

A club rival and England team-mate of Steven Gerrard, Lampard is a free agent after being sacked by Chelsea. A huge name but has completed just two full seasons in management with only qualified success.

David Wagner

From the German school of coaching that dominates the top level, Wagner took lowly Huddersfield to the Premier League and kept them up despite a small budget. They were relegated the following season though and his time at Schalke was a disaster. The German giants sacked Wagner in September after an 18-game winless run.

Dan Petrescu

Well travelled and with a fine European record, Petrescu's Cluj side knocked Celtic out of the Champions League last season. He's available after leaving Turkish club Kayserispor - but the Romanian claims he won't be taking a job in the near future for personal reasons.

Roberto Martinez

Could Martinez and Maloney appeal to Celtic?

A former Motherwell midfielder whose wife is from Lanarkshire, the Spaniard has a connection with Scotland. Shaun Maloney is on his coaching staff at Belgium too, but a successful Euro 2020 campaign could see bigger names come calling.

Rafa Benitez

Another name who has been in the frame for some time, the Spaniard comes with a seriously impressive CV. He's likely to have other offers though, with Napoli believed to be keen to bring him back.

Roy Keane

A boyhood Celtic fan and, briefly, a player for the Parkhead club. It's been a decade since Keane was a number one though and at both Ireland and Nottingham Forest as assistant to Martin O'Neill his relationship with players was called into question.

Martin O’Neill

A bona fide Celtic legend who enjoys a great relationship with Dermot Desmond. O'Neill brought glittering success in his first spell in Glasgow but he's 68 now and could be seen as yesterday's man.

Henrik Larsson

Henrik Larsson is currently part of Ronald Koeman's Camp Nou backroom team

If you want to get fans onside instantly then what better way than appointing one of the club's greatest ever players? Larsson is currently assistant to Ronald Koeman at Barcelona but his managerial record is poor, with just a 36 per cent win ratio across his career as the top man.

Andre Villas-Boas

Still only 43, the Portuguese has achieved success pretty much everywhere he's been. Has big club experience but absolutely would not come cheap - he was on a reported €6.5million per year at Marseille.

Gordon Strachan

A successful former manager, Strachan knows the club inside out. His record hasn't been stellar since leaving Celtic though, and it's been nearly 11 years since he last had a club job.

Luciano Spalletti

Known for his tactical acumen, the Italian will be free from his Inter contract in the summer. Spalletti wouldn't be cheap but he's had success in both Italy and Russia.

Veljko Paunovic

Fits the bill of a rising star as he has Reading in promotion contention down in England. If he achieves it though Premier League riches may be hard to walk away from.

Scott Parker

Highly rated and may move on from Fulham if he can't keep them up. Appointing a manager who has just been relegated may be a tough sell for fans though.

Marco Silva

Marco Silva has been linked with the role

Fits the Brendan Rodgers mould as a young manager looking to get his career back on track. Won trophies at Sporting and Olympiakos before being praised for his work in a difficult job at Hull. Everton was a disaster though, far more than Liverpool ever was for Rodgers.

Ralf Ragnick

Regarded as one of football's great thinkers, the German has been key to the rise of RB Leipzig. May be more suited to the sporting director role though.