On the Extremal Betti Numbers of Binomial Edge Ideals of Block Graphs
				
										Keywords:
				
				
																		Extremal Betti numbers, 													Regularity, 													Binomial edge ideals, 													Block graphs															
			
			
										Abstract
We compute one of the distinguished extremal Betti number of the binomial edge ideal of a block graph, and classify all block graphs admitting precisely one extremal Betti number.