1 votes 1 votes Consider a graph where vertex having number 2 to 12 (including 2 and 12), there is an edge between two vertex x and y iff x divides y Which vertex will have highest in degree ? Graph Theory iiith-pgee graph-theory + – Tesla! asked Apr 30, 2017 • edited Aug 2, 2017 by Tesla! Tesla! 555 views answer comment Share Follow See 1 comment See all 1 1 comment reply sid1221 commented Jun 22, 2017 reply Follow Share vertex 2 , who divides 4,6,8,10,12 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes 12 has highest degree. Edges to 12 are: [2->12, 4->12, 6->12, 12->12]. All other vertices have lower degree. agoh answered Apr 30, 2017 agoh comment Share Follow See all 2 Comments See all 2 2 Comments reply junaid ahmad commented Jun 22, 2017 reply Follow Share I think it vertex 2 which is having highest degree not 12 because 2 divides 4,6,8,10,12 5 votes 5 votes neelesh bhakt commented Apr 17, 2018 reply Follow Share answer must be 12 since the degree in the graph is calculated by the no.of incoming edges with self loop counted twice so degree of 12 is 5 while degree of 2 is 2(since one self loop is counted twice). 0 votes 0 votes Please log in or register to add a comment.