Wins for Celtic and Falkirk, while the points were shared at Easter Road and in the battle of the bottom two.

You can catch highlights of today's games on Sportscene on BBC Scotland at 19:15.

Join us again tomorrow for Dundee v Hearts and Aberdeen v Rangers.

Hibs head coach David Gray tells BBC Scotland: "Because you lose the first goal in the game, you can't be disappointed with a point, especially against a good side. Our first half an hour was very good. We were more like ourselves. Really good, aggressive patterns of play.

"Frustrating thing from my point of view is the majority of chances we give up are through transitions. The biggest thing is to make sure you find a way back in, a test of character. The game probably became a little bit too stretched.

"A draw is probably a fair result. We haven't lost any ground [on Motherwell], which is positive. We're working really hard to try to add to the group. If we can get January right, it gives us a real chance to end the season strongly."

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Livingston manager David Martindale tells BBC Scotland: "I'm disappointed with the two points dropped, that's how it feels.

"There's a lot to like within the performance in terms of control in the game, chance creation. Final third, we've got to be a wee bit cleaner up there.

"We feel it was a penalty [when the ball appeared to hit Brad Lyons' arm]. I'd love to hear why it wasn't. If I'm wrong on the penalty, I'm wrong, I can take that on the chin.

"I felt Don [Robertson, the referee] had a poor game. Big Brooklyn [Kabangolo] gets a yellow card really, really early on and it kind of forced us into making changes. I don't think it's a yellow card. Lewis Smith gets a strong tackle on him 23, 25 yards from the opponent's goal and it's not a yellow card but our centre-back brings Brucie [Anderson] down on the touchline, he puts out for a throw-in 50, 60 yards from goal. The inconsistencies never helped us.

"Disappointed with the goal we lose. We've got to do better with the first contact.

"The goal was fantastic. There was a lot to like in the goal. We're giving cheap, cheap goals away to the opposition. Not defending our box well enough."

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Tomorrow, we have Dundee v Hearts (14:00) and Aberdeen v Rangers (16:30).

How will the visiting sides respond to Celtic's convincing win?

Dundee are on a run of three straight wins as they prepare for the league leaders.

Andy Halliday
Motherwell midfielder on BBC Sportsound

We can't downplay the importance of goal difference in this title race. All of a sudden, the table looks a lot more promising for Celtic.

Motherwell manager Jens Berthel Askou tells BBC Scotland: "We didn't outperform Hibs today, it was in many ways an even game. The amount of chances were quite even.

"At 1-1 we had a really big moment to decide the game, which I didn't feel they had. It was two teams who invested a lot in the game.

On Tawanda Maswanhise's breakaway goal, Askou says: "We want to create space and exploit that. Sometimes that space opens really fast."

And on Hibs' equaliser, he adds: "It was just a misjudgement from Tom [Sparrow]. He's played flawlessly, he's been fantastic. He was fantastic again today. We have to accept that'll happen, it was a high-tempo game."

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Dundee United manager Jim Goodwin tells BBC Scotland: "We always knew today's fixture was going to be difficult.

"We know the quality Celtic have got but obviously the change in management has given the players and home supporters are real lift because the atmosphere here was a lot better than what it was a week prior.

"When you come here you know you're going to be starved of possession at times and you have to really show a bit of resilience in and around your penalty area. I think today there's lots of areas within the goals we've conceded we could've done a lot better. When you give Celtic a two-goal advantage it becomes a mountain to climb.

"When you come here you have to do the basics well defensively, at times you need your goalkeeper to make saves and when you get half chances you've got to be clinical and take them, we couldn't do that today."

What next for the bottom two?

We've got the Scottish Cup next weekend, then Kilmarnock face a tough trip to Motherwell, while Livingston host St Mirren, who they also face in the cup.

Kilmarnock manager Neil McCann tells BBC Scotland: "It was always going to be a tough game given where both sides are in the league.

"I thought we showed a lot of character, considering we went down 1-0 so close to half-time and up to that point I felt we were the better side. It was a sore one to lose right before half-time.

"It's been a difficult couple of days for them to adjust to a new management team coming in. At times, when we were put under pressure, we stood up to it. The character's there, the grit, determination's there. All in all, you could probably say it was a fair result.

"We've got another 16 league games to go to get ourselves flying up the table.

"I loved it today. The frustration is you've got no real control from the side. I loved being back at the side of the pitch again."

McCann also questioned why Brooklyn Kabongolo was not sent off early in the match. The Livingston defender picked up an early booking and then committed two further fouls before being substituted.

"I think Kabongolo's got to go," McCann said. "I just don't understand why he's still on the pitch. The fact that Davie [Martindale] makes a sub so early in the first half suggests that he knows he's not getting any more. He shouldn't have had that opportunity to make that substitution.

"The first one I'm told is reckless. The second one, he stops that player from going through by bringing him down and the third one's a tackle from right through him from behind. That's the kind of thing that you expect to go for you."

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Falkirk manager John McGlynn tells BBC Scotland: "We were outstanding second half. Not much in the first half, one or two wee scares. We were always dangerous.

"Calvin Miller, over the whole game, was outstanding and a constant threat. That's where the first goal comes from, him running in behind and the goalkeeper getting lured out.

"We were the far better team second half. Our mentality was very good. We've picked up 16 points away from home, we're equally as good away from home. We set a target of 15 points in the second block of games and we've got there with a game to spare.

"The clean sheet is always pleasing. We defended really well, kept them fairly quiet. Delighted with the whole thing."

Interim Celtic manager Martin O'Neill tells BBC Scotland: "It was delightful. We played really well in the game and in the end we won quite convincingly.

"You still have to score the first goal in the game, Yang [Hyun-jun] takes it magnificently and we get up and running. The performance was really good.

"The players have to do the playing and it's been a strange old week. I've come back in again, perhaps to haunt them as much as anything else, but the players did brilliantly, absolutely brilliantly. It's a boost of confidence as much as anything else.

"The crowd were magnificent. Even moments when we were poor they kept with us. Today was great, there was a nice atmosphere. Now, being in a dog fight for the championship, we need the crowd behind us.

"Today, it was all about winning the game but the performance was terrific, I don't think I should overlook that. We played really well, got confidence back again and it was just lovely to win."

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Pat Bonner
Former Celtic goalkeeper on BBC Sportsound

Celtic need someone to come in high up the pitch. Daizen Maeda did well today but I don't think that's his strongest position.

Tom English
BBC Scotland chief sports writer on Sportsound

Martin O'Neill comes back and he does his thing straightaway. He brings clarity and instantly they look happier.

They scored four and could have had plenty more.

Celtic have got a lot of issues, but they've got O'Neill and that makes a big difference.

Martin Dowden
BBC Sport Scotland at SMISA Stadium

You have to hand it to John McGlynn and his squad. Thirty points already after promotion. Five points clear within the top six.

They seized a grip of this game after the interval and never looked back. It was largely comfortable in the end.

St Mirren badly need reinforcements to plug the absence of key players. This is usually a difficult place to come but Falkirk deserved this.

Most people see St Mirren as being in a false position. It's becoming a less relevant view as games tick on.

Michael Stewart
Former Hibs midfielder on Sportsound

I don't think these teams are in the title race but they are good enough to have a say. Both will both take points off the top three.

Ian McCall
Former Dundee Utd manager on Sportsound

Yang and Tounekti were outstanding for Celtic. When you face a low block, you need wingers to go past players.

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It's tough at the bottom...

Livingston's winless run stretches to a whopping 19 games, while Kilmarnock have gone 15 since their last league victory.

Fans must be wondering if they'll ever see a win again.

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