2 votes 2 votes In the given following planar graph, what is the degree of the region R1: Graph Theory graph-theory discrete-mathematics + – Manu Thakur asked Nov 13, 2017 Manu Thakur 2.3k views answer comment Share Follow See all 5 Comments See all 5 5 Comments reply Show 2 previous comments Manu Thakur commented Nov 13, 2017 reply Follow Share nitish, what difference does it make if i keep this pendant vertex outside? 0 votes 0 votes joshi_nitish commented Nov 13, 2017 reply Follow Share then degree of inner region will be 4 and that of outer region will be 6 2 votes 2 votes Ashwani Kumar 2 commented Nov 13, 2017 reply Follow Share As $\sum degree\ of \ region =2*edges$, means each edge will be counted twice in a region. If edge 'ce' is inside then deg(r1)=6, if it is outside then deg(r1)=4 2 votes 2 votes Please log in or register to add a comment.