:::: Ahh, I can give you a full detailed history of each and every one. The area from Cetina eastwards was ruled by the Serbs in the Medieval ages. If you see the Republic of Dubrovnik, you'll notice that King Stefan Dušan sold an island with Ston and Peljesac to the Republic in 1333, after Stephen II Kotromanić of History of Bosnia and Herzegovina|Bosnia (you will find this in his article) conquered Herzegovina from the Serbs in 1326. Ofcourse Bosnia contained Split at times, it contained the whole of Dalmatia under Tvrtko.  

 :::: Please read Stefan Dusan. You will also find this in the History of Greece. The Serbo-Greek Emperor conquered 80% of the Byzantine Empire, but failed to launch an attack on Constantinople. The Serbian Empire collaped, but Greece, Albania, Macedonia and other "Old Serbian" lands remained in Serbian control (mostly) until the arrival of the Ottomans, even though in Feudal Anarchy. Now, these are not even disputes. They're not even Balkan controversies, but historical facts. That map which you saw, ahh, there's a better version made by a Greek-British historian. There's also one better on Talk:Mljet. I can give you thousands of sources and detailed explainations on every single event, but I guarrantee that those are historical facts. Why would Dusan else declare himself as Emperor of Greeks and Serbs in 1345? On the Easter of 1346, Stefan Dusan was crowned by the Serbian Patriarch, the Serbian, Romeian (Byzantine), Bulgarian and Albanian nobility and the (Bulgarian) Patriarch of Tyrnovo for Tsar of All Serbs, Albanians, Greeks and Bulgarians to resemble the nations he ruled. The only person that lacked at the corronation was the Ecumenical Patriarch of Orthodox Christianity, that didn't recognize him. 

 ::::: Do you still cherish your opinion, or should I go to outright proving? They are most certainly not false, my friend.