0 votes 0 votes The edge set of every closed trail can be partitioned into edge sets of cycles True / False (Explain) Graph Theory graph-theory + – yogi_p asked Dec 21, 2017 yogi_p 825 views answer comment Share Follow See all 4 Comments See all 4 4 Comments reply Ashwin Kulkarni commented Dec 21, 2017 reply Follow Share Yes it is true. Close trail means Eularian graph. And at some point the graph has to reach to previously visited point. and hence cycle came into picture. 0 votes 0 votes yogi_p commented Dec 21, 2017 reply Follow Share What does it mean by edge set of cycle ? because if there is closed trail then definitely its a cycle. How can we further divide into edge set of cycles ? 0 votes 0 votes atul_21 commented Dec 22, 2017 reply Follow Share But after dividing , how the cycle will come into picture?? Can u illustrate it with an example?? 0 votes 0 votes Nitesh Choudhary commented Dec 22, 2017 reply Follow Share Trail is simple walk means without repetation of edge and give is close trail that mean start vertices =Last vertices so ve can repeat vertices for example 1-2-3-4-2-5-7-8-1 (2-3-4-2) is cycle 2 votes 2 votes Please log in or register to add a comment.