Lyagin heads the separatists' election body in Donetsk.
From our newsroom, expanding a bit on what we reported here earlier:
Russia says it has sent another convoy of aid to separatist-held regions of Ukraine.
A spokesman for the Russian Emergency Situations Ministry's National Crisis Management Center, Oleg Voronov, said November 4 that 10 trucks had delivered 50 tons of fuel and medicine to Donetsk.
He said another 10 trucks had delivered the same amounts to Luhansk.
This is the sixth humanitarian aid convoy sent to residents of the self-proclaimed "people's republics" of Donetsk and Luhansk.
The previous five convoys have delivered a total of some 8,000 tons of supplies.
Based on reporting by Interfax and TASS
Here's some Reuters video of Poroshenko's televised remarks about the weekend voting in separatist-held parts of Donetsk and Luhansk.
Big decisions ahead today for Ukrainian officials, it would seem. This is a summary from our newsroom:
Ukraine's Poroshenko To Meet With Security Chiefs
TASS quotes a Russian official as saying more "aid" trucks have crossed the border into Ukraine. It is unclear what the vehicles are carrying -- as has been the case with other shipments Russia has characterized as "humanitarian" missions -- or which border checkpoints the vehicles used.
All trucks with relief supplies for troubled south-eastern Ukrainian cities of Lugansk and Donetsk have crossed Russian-Ukrainian border, deputy chief of Russian Ministry of Emergency Situations national centre of management in emergency situations Oleg Voronov told TASS.
"A relief aid convoy of 20 trucks was divided in two parts and after passing customs clearance 10 trucks went to Donetsk and the same number of trucks to Lugansk," he said.
That concludes our live blogging for Monday, November 3. You can follow our continuing coverage of events in Ukraine and throughout our region HERE.
Here's our wrap-up of a very busy day in Ukraine, culminating in angry words for pro-Russian separatists, and indeed Moscow, from Ukraine's president.