0 0 votes Which of the following statement is false? Every tree is a bipartite graph A tree contains a cycle A tree with $n$ nodes contains $(n-1)$ edges A tree is connected graph Graph Theory ugcnetcse-june2006-paper2 graph-theory tree + – go_editor 2.7k views answer comment Share Follow Print 0 reply Please log in or register to add a comment.
0 0 votes A. Use the property that bipartite graphs have no odd-length cycles. If you know the theorem that lists equivalent definitions of trees, you know trees are graphs that are acyclic. Being acyclic implies there cannot be any cycles in the graph, including odd-length cycles. Therefore, every tree is a bipartite graph. TRUE B FALSE C TRUE D TRUE Answer B VIDYADHAR SHELKE 1 answered Oct 1, 2020 VIDYADHAR SHELKE 1 comment Share Follow 0 reply Please log in or register to add a comment.